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ISSN: 2641-712X
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Year first Published: 2018
Language: English
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Evaluation of an Inverse Molecular Design Docking Algorithm for the computer aided molecular drug design of a QMMMIDD motif peptide targeted active pharmaco-agent (MalasmoruponaqTM) against the gram positive bacteria Staphylococcus aureus for the deactivation of antimicrobial activity of the insect defensin from Anopheles gambiae Understanding the Relativistic Generalization of Density Functional Theory (DFT) and Completing It in Practice.
Grigoriadis Ioannis1, 2*
1Department of BiogenetoligandorolTM_ligandorolTMQMMIDDD/QPRPICA/MACHNOT/QIICDNNDCA ADMET/QIICDNNDCA Stations, Greece.
2Department of Wams for Pharmaceutical Biotechnology, Department Of Computer Drug Discovery Science BiogenetoligandorolTM_LIGANDOROLTM (Recoring Pharmacophoric Merging Qmmmiddd Algorithm), BIOGENEA SA, Greece.
Received Date: 09 July, 2019; Accepted Date: 17 July, 2019; Published Date: 26 July, 2019
*Corresponding Author: Grigoriadis Ioannis, Department of Biogenetoligandorol TM_ligandorolTMQMMIDDD/QPRPICA/MACHNOT/QIICDNNDCA ADMET/QIICDNNDCA Stations, Greece (And) Department of Wams for Pharmaceutical Biotechnology, Department Of Computer Drug Discovery Science BiogenetoligandorolTM_LIGANDOROLTM (Recoring Pharmacophoric Merging Qmmmiddd Algorithm), BIOGENEA SA, Greece. Tel: +306936592686; Email: jgrigoriadis@biogenea.gr
Citation: Ioannis G (2019) Evaluation of an Inverse Molecular Design Docking Algorithm for the computer aided molecular drug design of a QMMMIDD motif peptide targeted active pharmaco-agent (MalasmoruponaqTM) against the gram positive bacteria Staphylococcus aureus for the deactivation of antimicrobial activity of the insect defensin from Anopheles gambiae Understanding the Relativistic Generalization of Density Functional Theory (DFT) and Completing It in Practice. Inte Jr Pharmco Scie An Chem: IJPSC-108.
- Abstract
Computational molecular design is a useful tool in modern drug discovery. Virtual screening is an approach that docks and then scores individual members of compound libraries. In contrast to this forward approach, inverse approaches construct compounds from fragments, such that the computed affinity, or a combination of relevant properties, is optimized. Drug discovery and development involves a complicated three-dimensional highly correlated, many-body dynamical molecular system, and an intense, lengthy, interdisciplinary scientific endeavor which is often no intuitive even for highly trained researchers [1]. Small Molecule Drugs are indispensable for the treatment and cure of deleterious infectious diseases. There has been a plethora of new Malaria and Ebola infectious diseases short linear motif elements protein and DNA/RNA targets being discovered. Hence, ideal small molecule quantum thinking drugs are always in great demand. We have recently developed a new inverse approach combining human spatial reasoning and AI design insight to our BiogenetoligandorolTMligandorolTM novel drug design technologies based on the most promising lead compounds and dead-end eliminated Docking Algorithms by employing a hybrid classical/quantum mechanical physical potential function. In an attempt to increase the antimicrobial activity of the insect defensin from Anopheles gambiae, which is active against Staphylococcus aureus at low concentration, hybrid defensins were designed by combining conserved sequence regions and variable regions of insect defensins. The three-dimensional structure of Anopheles gambiae defensin and five hybrids were determined by NMR and molecular modeling. Here, we have discovered for the first time an in-silico predicted and computer-aided molecular designed Inverse Molecular Design Docking Algorithm in a Model Binding Site offering the potential to usher in a new paradigm for engineering an In silico predicted and computer-aided molecular designed structure of peptide mimetic active pharmaco-agent (MalasmoruponaqTM™): 7,{[4,(2,{[(2R),3,(42,2,3,4,4a,4b,5,6,7,8,decahydro,9λ⁴,carbazol,4,yloxy),2,hydroxypropyl]amino}ethoxy),3,oxocyclohexyl]oxy},19,[(42Z),1,[(2R),2,[(2S),2,amino,3,[(3R),3,hydroxy,3,[(3R,4S,5R),4,hydroxy,5,[(42R),1,hydroxy,2,[(oxophospho),λ³,oxy]ethyl],2,oxooxolan,3,yl]propyl],1,3,diazinan,1,yl],2,(hydroxyamino)ethylidene],5,6,dihydro,4H,1λ⁴,2,thiazin,3,yl],2λ³,oxa,10λ⁴,13λ⁴,diazapentacyclo[12.8.0.0³,¹².0⁴,⁹.0¹⁵,²⁰]docosa,1,9,10,12,13,pentaen,6,one dihydrofluoride against the gram positive bacteria Staphylococcus aureus for the depletion of its antibacterial defensin DEF-AAA for the dual deactivations of antimicrobial activity of the insect defensin from Anopheles gambiae and Ebola viruses.
2D MalasmoruponaqTM™ QMMMIDDD miracle molecule.
- Keywords: Anopheles Gambiae; Computer Aided Molecular Drug Design; Design Docking Algorithm; Generalization of Density Functional Theory (DFT); Inverse Molecular; Motif Peptide; Pharmaco-Agent; Relativistic
- Introduction
To meet the challenges of ideal drugs, an efficient method of drug development is demanding and more applied technologies Machine Learning and Computer Vision Systems have to be introduced for Phenotype Data Acquisition and Analysis Direct quantum process tomography via measuring sequential weak values of incompatible observables Docking Algorithms. The process of the alchemical perturbation (AP) methods and QMMM in silico computer-aided drug discovery is typically challenging, costly, time consuming, and requires consideration of different computational aspects since it has historically been limited by the lack of validated molecular algorithmic sequences, consensus targets and of high-throughput machine learning based screening methods. It is considered as a linear, consecutive process that initiates with interactive molecular dynamics in virtual targets and small molecule lead discovery approaches including training machines to learn potential free energy functions, combining strict alchemical perturbation methods with the Poisson-Boltzmann or generalized Born biomolecular conformational heuristic samplings, surface area continuum solvation (MM/PBSA and MM/GBSA) and protein-MalasmoruponaqTM™ligand binding methods with fused pharmacophoric reaction discoveries using “on-the-magic-fly” quantum chemistry, and transport hadamard dynamics with computational exhausted automation technologies to generate real-time Quantum Mechanics MD simulations of flexible 3D hyper-structures, followed by fragment lead based FBDD/LBDD optimization and pre-clinical in vitro and in vivo studies to determine if such selected compounds satisfy a number of pre-set criteria for initiating clinical trial developments. Malaria, a form of P.Falcifarum, is a a mosquito-borne infectious disease that affects humans and other animals which is often occurred. Mefloquine is an anti-malarial synthetic chemoprotective molecule with anti-malarial activity and selectively inhibits the lactate dehydrogenase molecular mechanism. Glycolysis is the major bio-molecular pathway for ATP production in the malaria parasite Plasmodium falciparum and its inhibition is needed for cell survival. Malaria, one of the most distressing diseases, is caused by the parasitic protozoan Plasmodiumfalciparum. It takes away millions of lives with the rate increasing each growing year. According to WHO’s Factsheet on the World Malaria Report 2013, 1.2 billion people out of a total of an estimated 3.4 billion are at a high risk of malaria. Malaria is highly prevalent in sub-Saharan Africa where 90% of all malaria deaths occur (WHO 2013). A lot of research has been going on in the ield ofmalarial therapeutics. This method predicted controlled quantum small molecule SMILES teleportations with an arbitrator for secure quantum channels via quantum dots inside protein cavities Docking Interactions using experimentally known intraspecies and interspecies Docking Interactions and filtered proteins on several parameters, such as cellular location and cellular function for Supercritical entanglement in local systems to the area law for quantum mechanical Docking Algorithm to confirm the practicality of the predictions. In this study, a complete protein interaction network Neutron Diffraction in Transmission Mode Implementation between human host and Plasmodium falciparum has been developed by integration of experimental and computational BiogenetoligandorolTM’s Semi-empirical methods, which are less accurate methods that use experimental results to avoid the solution of some terms that appear in the ab initio methods. BiogenetoligandorolTM’s uses the accuracy of electric charges plays an important role in protein–MalasmoruponaqTM™ligand docking, which is why QM-MM calculations are incorporated into docking procedures. Fixed charges of MalasmoruponaqTM™ligands obtained from force-field parameterization are replaced by QM-MM calculations in the protein–MalasmoruponaqTM™ligand complex, treating only the MalasmoruponaqTM™ligand as the quantum region. BiogenetoligandorolTM’s uses the QMMMIDD quantum thinking approach that provides unprecedented accuracy in fragment MalasmoruponaqTM™ligand based structure-based binding-energy calculations that enable formalistic application of QM methodologies to noncovalent hyper geometric and intra topology meta-Docking Interactions in complex systems as large as protein–MalasmoruponaqTM™ligand druggable complexes and conformational ensembles. AgamOBP20 is one of a limited subset of OBPs that it is preferentially expressed in female mosquitoes and its expression is regulated by blood feeding and by the day/night light cycles that correlate with blood-feeding behavior. Analysis of AgamOBP20 in solution reveals that the apo-protein exhibits significant conformational heterogeneity but the binding of odorant molecules results in a significant conformational change, which is accompanied by a reduction in the conformational flexibility present in the protein. Crystal structures of the free and bound states reveal a novel pathway for entrance and exit of odorant molecules into the central-binding pocket, and that the conformational changes associated with ligand binding are a result of rigid body domain motions in α-helices 1, 4, and 5, which act as lids to the binding pocket. The eventual aim of this computer-aided inisilico drug design study is to design an efficient multi-pharmacophoric drug molecule against the Malaria target by adapting machine general-purpose earning techniques using inverse probability of censoring weighting Docking Algorithms for the accuraqte algebraic topology predictions of small molecules in machine learning based scoring and virtual screening techniques. Various tubulin mitotic small molecule inhibitors such as benzimidazole, dinitroanilines which interact within Malarial P. and EBOV protein proteins and hinder the infection process have been fragmented, re-cored and merged into a MalasmoruponaqTM™’s larger druggable scaffold by using Absolute Binding Free Energy Computational Scoring Calculations of Protein-MalasmoruponaqTM™ligand Docking Interactions for the constructions of exact representations of quantum many-body systems with Force-momentum-based Langevin dynamic self-guided deep neural networks as a rapid sampling inverse docking method that approaches the canonical neuronal version of Grover’s quantum algorithm. Finally, the MalasmoruponaqTM™ molecule is computationally designed by using some of Electronic Nose Quantum Noosphere Improved Quantum Artificial Fish Docking Algorithmic Applications to Distributed Network quantum classifiers which has exhibited better binding affinity than the other FDA anti-malarial molecules which can be considered as a novel drug molecule canditate. In this study, we have discovered for the first time an in-silico predicted and computer-aided molecular designed Inverse Molecular Design Docking Algorithm in a Model Binding Site as an In silico predicted and computer-aided molecular designed structure of peptide mimetic active pharmaco-agent(MalasmoruponaqTM™):7,{[4,(2,{[(2R),3,(42,2,3,4,4a,4b,5,6,7,8,decahydro,9λ⁴,carbazol,4,yloxy),2,hydroxypropyl]amino}ethoxy),3,oxocyclohexyl]oxy},19,[(42Z),1,[(2R),2,[(2S),2,amino,3,[(3R),3,hydroxy,3,[(3R,4S,5R),4,hydroxy,5,[(42R),1,hydroxy,2,[(oxophospho),λ³,oxy]ethyl],2,oxooxolan,3,yl]propyl],1,3,diazinan,1,yl],2,(hydroxyamino)ethylidene],5,6,dihydro,4H,1λ⁴,2,thiazin,3,yl],2λ³,oxa,10λ⁴,13λ⁴,diazapentacyclo[12.8.0.0³,¹².0⁴,⁹.0¹⁵,²⁰]docosa,1,9,10,12,13,pentaen,6,one dihydrofluoride against the gram positive bacteria Staphylococcus aureus for the depletion of its antibacterial defensin DEF-AAA for the deactivation of antimicrobial activity of the insect defensin from Anopheles gambiaeTo determine the number of binding sites, a proof of concept docking study employing a widely- accepted validation tool called GEMDOCK (Generic Evolutionary Method for molecular docking), is used to compare MalasmopuronaqTM with the other FDA drugs approved for use against Malaria. The results are impressive. Comparison against other FDA approved drugs proves l14122871974,78905 – fold times higher. To accomplish these challenges, several multidisciplinary BiogenetoligandorolTM’s Ab initio methods, where the solution of the Schrödinger equation is obtained from first principles of quantum chemistry using rigorous mathematical approximations, and without using empirical data approaches have been integrated for the process of drug development; collectively these approaches would form the basis of BiogenetoligandorolTM’s Wavefunction based methods, which are based on obtaining the wave function of the anti-malarial rational drug design system [2]. With the advent of genomics, proteomics, bioinformatics and technologies like crystallography, NMR, the structures of more and more protein targets are integrated into the BiogenetoligandorolTM’s Density functional based methods, that consist in the study of the properties of the system through its electronic density, but avoiding the explicit determination of the electronic wavefunction. The MalasmopuronaqTM QMMM small molecule binds to the crystal structures with some of 190800000379.40 Docking Fitness Scoring Values within the PfNDH2 protein and for the first time within Apo-, NADH, bound states/binding domains. The PfNDH2 targeted MalasmopuronaqTM QMMM small molecule inhibitor exhibits excellent docking potency against the PfNDH2 protein and for the first time within Apo-, NADH-bound states/binding domains via a potential allosteric mechanism and agonistically increases the conformational adaptation to different odorants that have important implications in the selection and development of reagents targeted at disrupting normal OBP function.
- Material and Methods
- Softwares
All softwares were open acces, except the academic version of BiogenetoligandorolTM(2018.19) obtained from (BiogenetoligandorolTM. BiogeneaSA, Greece) [4,6,8-12]. BiogenetoligandorolTM protocol [3,5,7,8-12,13]. The complex structure was applied with the CHARMM-Polar-H force field in the BiogenetoligandorolTM 2016 [3,4,7,6,8-13,15,18,21]. The typed structure was then exported and used as the basis for mutagenesis. Using a Perl script specific to BiogenetoligandorolTM, we mutated the hybrid CDR residues to all 20 genetically encoded amino acids and calculated both the ΔΔEbinding and ΔΔEstability values, which resulted in 1400 mutations[24,25,28,29,51,52,71-73,76,78]. BiogenetoligandorolTM biologics suite protocol: The complex structure was prepared by using the Protein Preparation Wizard tool [48, 49,69-73] within the BiogenetoligandorolTM, BiogeneaSA, Greece 2018–3 [33]. The titratable residues were protonated in accordance with their environment by using BiogenetoligandorolTM_Ka [50-52,71-73,76,78] and were typed with the OPLS3 [52] force field, and the structure was subsequently minimised. Because optimization of the wider environment of a mutation may result in the unwarranted acceptance of large side chains, two separate mutagenesis experiments were performed. One experiment used a 0.0 Å optimization distance, that is, only the mutated reside, and one also minimised any residues within 5.0 Å. By using both optimization criteria and taking a consensus of accepted mutations, it was possible to avoid selection of residues that sterically disrupted the local protein environment whilst identifying those that required only a small structural rearrangement to enter a conformation, thereby leading to improved binding affinity [52, 71-73,76,78].
- Genome-Wide Drug-Target Prediction, Dataset and Qsar Study
Using FP-2 (PF3D7_1115700) and FP-3 (PF3D7_1115400) [78-112,113,115,118,119,122] as query sequences, seven plasmodial protein homologs together with three human homologs were retrieved from the PlasmoDB version 9.31 [78-112,113,115,118,119,122] and NCBI [74,78-112,113,115,118,119,122] databases, respectively as described earlier [50,78-112,113,115,118,119,122]. A set of 341 molecules with inhibitory activity for plasmodial proteases was selected from the CanSAR database 7(https://cansar.icr.ac.uk/) based on their molecular weight and IC50. This was converted to pIC50 for the QSAR analysis. The set of these molecules NAG:L:701, NAG:L:702, BMA:L:703, MAN:L:704, MAN:L:705, MAN:L:706, MAN:L:707, nteracting chains: K, L, N was randomly distributed to a training set of 240 compounds NAG:D:701 (NAG-NAG-BMA-MAN-MAN-MAN-MAN) – POLYMER+ NAG:D:702+ BMA:D:703 + MAN:D:704+ MAN:D:705+ MAN:D:706+ MAN:D:707(70% of the data) and a test set of 131 NAG:H:701 (NAG-NAG-BMA-MAN-MAN-MAN-MAN) – POLYMER+ NAG:H:702+ BMA:H:703+ MAN:H:704+ MAN:H:705+ MAN:H:706+ MAN:H:707compounds (32% of the data). cathepsin L (Cat-L) like plasmodial proteases is the presence of an N-terminal signalling (non-structural) RNA+ION starting with C (composite ligand, containing Cytidine Monophosphate)C-G-C-A-U-G-C-G-MG Composite ligand consists of C:C:1, G:C:2, C:C:3, A:C:4, U:C:5, G:C:6, C:C:7, G:C:8, MG:C:9. Interacting chains: A, B peptide sequence (~∫150 amino acids), which is responsible for targeting them into the food vacuole in 4IOD (malarial clp b2 atpase/hsp101 protein). SO4 (sulfate) SO4-A-201 Interacting chains: A. For each of the plasmodial proteins, this segment was chopped off, and the remaining prodomain portion-catalytic domain saved into a Fasta file (Additional file 1) in 3L27 (polymerase cofactor vp35). As guided by the partial zymogen complex crystal structure of Cat-K [PDB: 1BY8],∫~∫21 amino acids (N-terminal) were also chopped off from the human cathepsin prodomain sequences V-M-GLU-50, V-S-GLU-50, V-M-GLU-51, V-S-GLN-54, V-S-HIS-80, V-M-GLU-144, V-M-ALA-145, V-S-ASN-146, V-M-ASP-226, V-S-ASP-226, V-M-ALA-227. Together, these sequences were used in the rest of the study, and are referred as “partial zymogen” or “prodomain-catalytic domain” sequences interchangeably in the manuscript [78-112,113,115,118,119,122]. Position details of the PRF (queuine) PRF-A-290 Interacting chains:A prodomain and PRF-B-290 Interacting chains: B catalytic portions per protein are listed in Additional file 4. To determine the conservation of the PRF-C-290 Interacting chains: C prodomain-catalytic portion, multiple sequence alignment (MSA) 4DGH (sulfate permease family protein) was performed using PROfile Multiple Alignment with predicted Local Structures and 3D constraints (PROMALS3D) web server [75] with default parameters except PSI-BLAST Expect value which was adjusted to 0.0001, and the alignment output visualized using JalView [76]. The GOL (Glycerol) GOL-A-608 Interacting chains: A training set has been subjected to the Partial Least Square (PLS) 8. In absence of an experimentally validated inhibitor with a biological activity of LMTK3 protein in the different databases, the construction of QSAR model based on the biological activity of these inibitors cannot take place [78-112,113,115,118,119,122,127] and NCBI [74,78-112,113,115,118,119,122] databases, respectively as described earlier [50,78-112,113,115,118,119,122]. Genome-wide anti-malarial drug-in 6IOT target ION CA (calcium ion) CA-A-502 Interacting chains: ADocking Interactions were predicted using DockThor. DockThor takes four networks as input: chemical-protein association (matrix R), off-target (matrix Q), chemical-chemical similarity, protein-protein similarity networks, The chemical-protein associations were obtained by integrating three resources: 1) publicly available databases, ChEMBL [53] (v23.1) and DrugBank [54] (v5.5.10), 2) four data sets from recent publications about kinome assays [55–58], and 3) protein structure-based off-target prediction from previous step. From ChEMBL, inhibition assays having IC50 ≤ 10 μM was regarded as active associations [78-112,113,115,118,119,122] and NCBI [74,78-112,113,115,118,119,122] databases, respectively as described earlier [50,78-112,113,115,118,119,122]. Those with suboptimal confidence scores (i.e. confidence < 9) were excluded. From DrugBank, drug-CA-B-502 Interacting chains: B target, drug-2BH1 (general secretion pathway protein l general secretion pat…), drug-G9D (SureCN12750328), G9D-A-1, Interacting chains: A, and drug-transporter associations were collected for the generation of the Hydrophobic Docking Interactions of the 2 MalasmoruponaqTM™ binding site(s) in 3ZML (glutathione s-transferase e2) GSH (Glutathione)GSH-A-1222 Interacting chains: A. The data sets from kinome assays are available in different types of activity measurement. Christmann-Franck et al. collected chemical-kinase assays from multiple past publications and presented the activity standardization protocol, which assumed an activity with Ki ≤ 5 μM is active [55,74,78-112,113,115,118,119,122]. If the original publication presented percent inhibition (or percent remaining activity) at a given compound concentration, Ki was calculated as follows:
%control=(TestCompoundSignal−PositiveControlSignal)(NegativeControlSignal−PositiveControlSignal)×100 response=background+signal−background1+(Kd−1/dose−1) y=A+B−A1+(Cx)D Ki=concentration×(100−%inhibition)%inhibition minU,V≥0∑(i,j)w(R(i,j)+Q(i,j)−U(i,:)⋅V(j,:)T)2+α(‖U‖2+‖V‖2)+βtr(UT(DC−C)U)+γtr(VT(DT−T)V) P(i,j)=UUP(i,:)∙VUP(j,:)T FoldChange={ES/ER,ifES>ER−ER/ES,ifES<ER q=(prank)×N
Here, w is the confidence weight on the observed and predicted off-target associations which indicate the reliability of the assigned probability of true association; α is the regularization parameter to prevent overfitting; β is the importance parameter for chemical-chemical similarity, γ is the importance parameter for protein-protein similarity, and tr(A) is the trace of matrix A [90-110,121,123,127]. The predicted score for the ith chemical to bind the jth protein can be calculated by P(i,j)=UUP(i,:)∙VTUP(j,:), where UUP and VUP are the low-rank matrices U and V after completion of the updates. Different from original winOCCF [33], Q in DockThor is the predicted off-target network instead of a fixed imputation value withinMalasmoruponaqTM™ binding site(s) in 3ZML (glutathione s-transferase e2). GSH (Glutathione)GSH-A-1222 Interacting chains: A. More details on the optimization algorithm of Eq (1) are published elsewhere [90-110,121,123,127], where ES and ER are the mean log2 mRNA probe levels for a given gene in cell lines found in the sensitive and resistant groups, respectively [89,90-110,121,123,127] to demonstrate the hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase): ION MG (magnesium ion) MG-A-7 Interacting chains: A. A false discovery rate (FDR)-adjusted p-value (q-value) is computed with a null hypothesis of no difference between “sensitive” and “resistant” groups for the generation of the Metal Complexes MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase): ION MG (magnesium ion) MG-A-7 Interacting chains: A. The q-value is calculated according to the following formula: q=(prank)×N where rank is the rank of the p-value and N is the number of conducted tests. Gene set over-representative analysis was carried out using Protein-Ligand Interaction Profiler [60-89,90-110,121,123,127] in the Water Bridges of the MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase): ION MG (magnesium ion) MG-A-7 Interacting chains: A. Using Molecular Evolutionary Genetic Analysis (MEGA) version 5.2 software [87,89,90-110,121,123,127], the evolutionary relationship of plasmodial proteases and human cathepsins was evaluated with the following preferences; Maximum Likelihood (statistical method) and Nearest-Neighbor-Interchange (NNI) as the tree inference option the hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase): ION MG (magnesium ion) MG-A-7 Interacting chains: A. A total of 9 H-S-ASP-65, H-M-GLN-67, H-S-THR-206, V-M-VAL-199, V-M-ARG-202, V-S-ARG-202, V-M-LEU-203, V-M-THR-206, V-S-THR-206 amino acid substitution models were calculated for both complete (100%) and partial (95%) deletion and the best three models based on Bayesian Information Criterion (BIC) were selected. For each selected IHP-B-210 Composite ligand consists of IHP:B:210, NA:B:211. Interacting chains: B model, the corresponding gamma (G) evolutionary distance correction value was selected to build different phylogenetic trees and comparison was made to determine robustness of dendrogram construction process [90-110,121,123,127]. 4IOD (malarial clp b2 atpase/hsp101 protein). SO4 (sulfate) SO4-A-201 Interacting chains: A was included in the tree calculations as outgroup.
- Physicochemical Properties, Motif Analysis, Homology Modelling and Structure Validation
Using an ad hoc Python and Biopython script, the amino acid composition and physicochemical properties, namely molecular weight (Mr), isoelectric point (pI), aromaticity, instability index, aliphatic index and grand average of hydropathy index (GRAVY) of the proteins were determined [60-89,90-110,121,123,127]. Multiple Em for Motif Elicitation (MEME) standalone suite version 4.10.2 [57-60-89,90-102,03,104,107,108,110,121,123,127] was used to identify the composition and distribution of protein motifs within partial zymogen sequences of the hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase): ON MG (magnesium ion) MG-A-7 Interacting chains: A. A Fasta file (Additional file 1-4) containing sequence information of the different proteins was parsed to MEME software with analysis preferences set as; -nostatus –time 18,000 –maxsize 16,000 –mod zoops –nmotifs X –minw 6 –maxw 50 in the hydrophobic Docking Interactions of the MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase): ION MG (magnesium ion) MG-A-7 Interacting chains: A. The variable X (a whole number from 1) was varied until no more unique motifs were assessable as determined by Motif Alignment Search Tool (MAST) [87-90,95-97] for the profiling of the hydrogen Bonds of the MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase): ON MG (magnesium ion) MG-A-7 Interacting chains: A. A heat map showing motif distribution was generated using an in house Python script. PyMOL was used to map the different motifs onto the protein structures.
- Homology Modelling and Structure Validation and Prodomain-Catalytic Domain Interaction Studies and Short Inhibitor Peptide Design
MODELLER version 9.18 + was used to build homology models of the inhibitor complex of all proteins except for Cat-K which has already a crystal structure. Using a combination of templates, high quality prodomain-catalytic domain complexes of the plasmodial proteases as well as cathepsins (Cat-L and Cat-S) were calculated by MODELLER with refinement set to very slow. Additional file 4 shows the details of templates selected for each protein model. For the plasmodial proteases, the crystallographic structure of procathepsin L1 from Fasciola hepatica [PDB: 2O6X] was used as it had the highest similarity with most target sequences (30–38%) and high resolution of 1.40 Å. However, it lacked the arm (β-hairpin) region while the nose residues were missing. To overcome these challenges, Cat-K [PDB: 1BY8] together with FP-2 [PDB: 2OUL] (for FP-2, VP-2, KP-2, BP-2 and YP-2) and FP-3 [3BWK] (for FP-3, VP-3, KP-3 and CP-2) were additionally used. For Cat-L and Cat-S, only two templates were used [PDB: 1BY8 and 2O6X]. For each protein, 100 models were calculated and ranked according to normalized discrete optimized protein energy (Z-DOPE) score [81] of the generated hydrogen Bonds MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A.. The top three models per protein were further validated using ProSA [82], Verify3D [83], QMEAN [84] and PROCHECK [85] and the best quality model selected Water Bridges: MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A.. To determine the prodomain inhibitory mechanism, residue Docking Interactions between prodomain and catalytic domain of plasmodial and human partial zymogen complexes were evaluated using the Protein Interaction Calculator (PIC) web server [86]. The interaction energy of identified residues was evaluated using the amino acid interaction (INTAA) web server [87] Hydrogen Bonds from the:MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A.. PyMOL was used to visualize the resulting Docking Interactions. For each protein, prodomain segment interacting with the catalytic domain’s active pocket residues was identified and extracted into a Fasta file. From the interaction energies, residues within these inhibitory segments forming strong contacts with subsite residues were identified. Based on the identified hot spot residues, the next objective was to design short peptide(s) exhibiting the native prodomain effect whilst showing selectivity on human cathepsins hydrogen Bonds from the:MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A.. The conservation of prodomain inhibitory segments for all the proteins, and separately of only the plasmodial proteases, was determined using WebLogo server [88]. Peptides of varying lengths and composition based on amino acid conservation forming contacts with subsite residues of the water Bridges from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A.. In order to evaluate the interaction of selected peptides on the catalytic domains, the prodomain segments of all proteins were chopped using PyMOL. Blind docking simulation runs of selected peptides were then performed on these sets of catalytic domains by CABS-dock protein-peptide docking tool [89] using the default parameters Hydrogen Bonds from the. MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A.. To confirm the reliability of the results, docking experiments were repeated using catalytic domains of the same proteins that had been modelled and used in previous studies [50]. Binding affinity (ΔG) and dissociation constant (Kd) for each protein-peptide complex was then evaluated using PROtein binDIng enerGY prediction (PRODIGY) web server [90].
- Sequence Analysis and Docking Studies of PfDHHCs
Using various databases like the PlasmoDB, PiroplasmaDB, and UniProt, we extracted DHHC sequences of different organisms including Plasmodium falciparum, Plasmodium berghei Toxoplasma gondii, Babesia bovis, Theileria parva, Cryptosporidium muris, and Eimeria tenella. This data exploration was done using different apicomplexan,specific databases including plasmodium genomics resource database (PlasmoDB) 13, toxoplasma genomics resource database (ToxoDB) 14, piroplasma genomics resource database (PiroplasmaDB) 15, and UniProt 16 for fetching other organism,specific protein sequences. Using PlasmoDB, putative DHHC gene sequences in P. falciparum (PfDHHC) were annotated and exctracted based on conserved domain architecture as receptors for the performance of the Docking Studies with MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein), selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A, and in the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A.. The domain architecture of protein sequences was assessed via SMART,Batch and INTERPRO online servers [81-83,86,88-110,119,121,122]. We performed multiple sequence alignment (MSA) of the 12 annotated PfDHHCs using MUSCLE algorithm (implemented in jalview software, Elixir,UK, https://elixir-europe.org) [101-103,107,109,110]. These 12 PfDHHCs along with PAT sequences from six other organisms namely closer members P. berghei and T. gondii, and distant members of Apicomplexa namely B. bovis, T. parva, C. muris, and E. tenella were further used to construct a neighbor,joining (NJ) tree of the Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein), selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A. The indexing and integration of obtained data sets were carried out using XDS (Pilatus) [95-98,100-113] for the generation of the Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A. The scaling, merging and calculating of structural factor amplitudes were executed using programs TRUNCATE47 and SCALA48 from CCP4 software49[11,112,114,121]. Crystal structures were constructed by molecular replacement using Phaser50 with RnCCT (PDB: 3HL4) and free MalasmoruponaqTM_937d73c677_1 (PDB: 4ZCT) as search models, followed by model building in Coot51 in the Salt Bridges from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A. The structure refinements were done using REFMAC 5.8.007352,53 and PHENIX 1.9.169254. Molecular graphics representations were created using PyMol55. All the MalasmoruponaqTM™ligand structures were created using PRODRG server [56,92,94,95,98] Crystal diffraction data and final refinement statistics were summarized in Table 3.The bootstrap consensus tree inferred from 500 replicates finally represented the evolutionary history of the taxa analyzed using mega7 software (Pennsylvania State University, University Park, PA, USA) 20. The evolutionary distances were computed using the Dayhoff matrix based method and are in the units of the number of amino acid substitutions per site in the Hydrophobic Docking Interactions of the 2 MalasmoruponaqTM™ binding site(s) in 1V0P (cell division control protein 2 homolog). MalasmoruponaqTM™ Small Molecule PVB (purvalanol B)PVB-A-1287 Interacting chains: A. The sequences of 12 PfDHHCs were obtained from PlasmoDB and their structural models were constructed using the I,TASSER web server using template as HsDHHC20 (PDB code: 2BML) [81,83,88,89,94,95]. Using modrefiner software (University of Michigan, Ann Arbor, MI, USA), the structures were further refined for docking with substrate palmitic acid (PA) and a known inhibitor of palmitoylation, 2,BMP 22. Quality validation of the resultant models was done with RAMPAGE as prepared for the perfomance of the Hydrophobic Docking Interactions of the 2 MalasmoruponaqTM™ binding site(s) in 1V0P (cell division control protein 2 homolog). MalasmoruponaqTM™ Small MoleculePVB (purvalanol B)PVB-A-1287 Interacting chains: A. The theoretical models were visualized with pymol Molecular Graphics System (Schrödinger, LLC, New York, NY, USA), version 1.7.4 23. The MalasmoruponaqTM_937d73c677_1 and RnCCT catalytic domains share 44% sequence identity23 and high structural similarity for the illustration of the Hydrophobic Docking Interactions of the in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase (Figure 4). This especially holds for the core region of the conserved α/β Rossmann fold indicated by a dashed circle in (Figure 4b), that hosts the inner part of the active site accommodating DockThorfor the demonstrations of the Hydrophobic Docking Interactions within the 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase. This region, defined by residues 618–760 in MalasmoruponaqTM_937d73c677_1 displays an all-atom RMSD value of 0.73∫Å with the respective region of the RnCCT structure complexed with MalasmoruponaqTM_341139 20. DockThoris found in the same zig-zag position in both MalasmoruponaqTM_937d73c677_1 and RnCCT co-structures with only the two methylene groups of this MalasmoruponaqTM™ligand adopting different conformations. The interaction network of DockThoris also largely similar to the Hydrophobic Docking Interactions of the in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase (Figure 4c). The differences in the catalytic site concern the residues V625, Y626, Q636 and V759 of MalasmoruponaqTM_937d73c677_1 corresponding to hydrophobic residues I84, F85, A95 and I200 of RnCCT, respectively (Figure 4d). A notable structural difference involves Q636 sidechain that enables a direct interaction with the ribose 3∫OH moiety in MalasmoruponaqTM_937d73c677_1, whereas a similar contact in RnCCT is established by an ordered water molecule next to A95. Y626 and Q636 constitute the wall of the active site cavity around the hole for the ribose moiety of the MalasmoruponaqTM™ligands and its Hydrophobic Docking Interactions of the MalasmoruponaqTM™ fragmented compounds binding site(s) in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase),(cycloguanil)1CY-A-609 Interacting chains: A. Both residues display conformational changes during the course of catalysis (Figure 3e). The position corresponding to Y626 is strictly reserved for aromatic (Y/F) residues in the HxGH nucleotidylyltransferase enzyme superfamily because the edge-on orientation of the aromatic sidechain secures the parallel conformation and hydrogen bond contacts of the two histidines from the HxGH motif, critical for their proper catalytic function in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase (Supplementary Figure 5). In a nucleotide-bound form, Q636 forms a hydrogen bridge to Y626, enabled by the phenolic OH group of the latter that is additionally present as compared to its RnCCT surrogate F85. In order to evaluate the impact of these residue changes, we engineered a Y626F/Q636A double mutant in MalasmoruponaqTM_937d73c677_1 (528–795) to mimic the RnCCT enzyme hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A. This construct displayed a six-fold attenuated catalytic rate together with an unaltered KM,CTP value compared to MalasmoruponaqTM_937d73c677_1 (528–795) (Table 1). Thermodynamic analysis revealed unaltered CTP affinity of the mutant with a slightly increased favorable binding enthalpy counter balanced by a larger entropic penalty in the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol)EDO-A-302Interacting chains: A (Table 2). A modest effect of the residue substitutions was uncovered by the analysis of DockThor binding experiments. A somewhat tighter binding of DockThor was observed in the case of the MalasmoruponaqTM_341139 mimicking construct MalasmoruponaqTM_937d73c677_1 (528-795) Y626F/Q636A, accompanied by a decrease of both the favorable enthalpy and the unfavorable entropy components in the the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol)EDO-A-302 Interacting chains: A (Table 2). The differences observed for DockThor binding to MalasmoruponaqTM_937d73c677_1 or to the MalasmoruponaqTM_341139 mimicking construct may be interpreted by a slightly more constrained DockThor interaction in the wild-type MalasmoruponaqTM_937d73c677_1 enzyme water Bridges from MalasmoruponaqTM™ binding site(s) in 4YWI, MalasmoruponaqTM™ Small Molecule. This is also supported by the reduced flexibility of the nucleotide binding pocket in the MalasmoruponaqTM_341139 -MalasmoruponaqTM_937d73c677_1 structure in comparison to the MalasmoruponaqTM_341139 -RnCCT structure (PDB: 3HL4), as suggested by B-factor values. Chemical structure of MalasmoruponaqTM_341139_2,BMP was downloaded from BiogenetoligandorolTM database in SDF format, converted to standard PDB format and energy minimized using Chem3D Pro 12.0. Molecular docking was performed by using DockThor/GemDock24 to rationalize the activity of PA and 2,BMP against all 12 PfDHHCs. As per the already established 2,BMP binding pocket in PfDHHC homologue, HsDHHC20 (PDB ID: 6BML), we ensured that the active site residues were covered while constructing the virtual grid for docking. Incorporating the predicted MalasmoruponaqTM™ligand binding groove, a virtual 3D grid of mean (20 Å) × mean (20 Å) × mean (20 Å) with varying x, y, z coordinates of the center of energy was constructed for individual PfDHHCs through the Autogrid module of Protein-Ligand Interaction Profiler (PLIP) Tools24 Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule. We performed molecular docking studies using DockThor/GemDockwith compounds to rationalize its activity (Figure 25-67). The top,ranked conformations of compound within the protein catalytic pocket were selected based on the lowest free binding energies of the hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule Ethylene Glycol)EDO-A-302Interacting chains: A. The stable conformations were visualized for polar contacts like hydrogen bonds. Top scoring docked conformations of the scaffold were selected based on the most negative free binding energies and visualized for polar contacts with the amino acid residues of MalasmoruponaqTM_937d73c677_1 ,12 51 hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305 by using pymol Molecular Graphics System.
4.1.2. Data Set Curation and Data Set Preparation and Descriptor Selection
Chemical structures of the curated data set in the SMILES format were converted into the .mol format and further optimized using Gaussian 09 [13] to obtain low energy conformation. Geometrical optimization of all chemical structures were achieved by semi-empirical Austin Model 1 (AM1) level followed by density functional theory (DFT) computation using the Becke’s three-parameter hybrid method with the Lee-Yang-Parr correlation functional (B3LYP) together with the 6-31 g(d) level. The optimized structures were used for calculation of the first set of thirteen quantum chemical descriptors using an in-house developed script: the mean absolute atomic charge (Qm), total energy (Etotal), total dipole moment (µ), highest occupied molecular orbital energy (HOMO), lowest unoccupied molecular orbital energy (LUMO), energy difference of HOMO and LUMO (HOMO-LUMOGap), electron affinity (EA), ionization potential (IP), Mulliken electronegativity (χ), hardness (η), softness (S), electrophilic index (ω i), and electrophilicity (ω).
4.1.3. Generation of QSAR Model
We used the Partial Least Square (PLS) as a statistical analysis method to establish a linear correlation between the subset of descriptors and bioactivities to derive predictive models. These models were established on a training set (240 molecules), and tested by test set (101 molecules) [110,121,123,127]. The module QuaSAR-Model in BiogenetoligandorolTMwas used to construct the QSAR PLS model 8. QSAR models were separately developed according to the three different scaffolds using MLR method implemented in Protein-Ligand Interaction Profiler (PLIP) Tools according to the equation (1). Y = B0 + Σ BnXn (1) where Y is the pEC1.5 values of compounds, B0 is the intercept and Bn are the regression coefficient of descriptors Xn. Both maps are at near-atomic resolution, varying from 3–3.6Å in the transmembrane (TM) and core regions to 5–8Å in the periphery (Figure 14-22). X-ray co-structures of
MalasmoruponaqTM_341139-MalasmoruponaqTM_937d73c677_1,
MalasmoruponaqTM__ligand_9cd1e4c09f_MalasmoruponaqTM_937d73c677_,
MalasmoruponaqTM__L igand_9cd1e4c09f_MalasmoruponaqTM_937d73c677_1
and Cho-MalasmoruponaqTM_937d73c677_1 monomers. Complexes with (a) DockThor(PDB: 4ZCS) at 2.45∫Å resolution, (b) CMP (PDB: 4ZCP) at 1.98∫Å resolution, (c) MalasmoruponaqTM_ ligand_0c92b908ca_1 (PDB: 4ZCR) at 1.80∫Å resolution and (d) Cho (PDB: 4ZCQ) at 1.92∫Å resolution. In all cases only one monomer of a dimer is presented. The MalasmoruponaqTM™ligands (MalasmoruponaqTM_341139, MalasmoruponaqTM_937d73c677_1 MalasmoruponaqTM_ ligand_0c92b908ca_1 and MalasmoruponaqTM_ ligand_0323350cd7_1) are shown in sticks with electron density around them [110,121,123,127].
4.1.4. Model Building and Refinement Validation Molecular Modelling
The QSAR model obtained has been validated in two steps. The first step through internal validation by allowing the calculation of the cross correlation coefficient (q2), using the LOO (cross validation Leave-One-Out). The second step through external validation used to evaluate the prediction set activities and calculating the numerical model parameters in the MalasmoruponaqTM Hydrogen Bonds from generated in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase. For the better understanding of the binding and Docking Interactions of our compounds to 3UM6, we conducted 1 µs molecular dynamics (MD) simulations for the most potent compounds.,
MalasmoruponaqTM_341139-MalasmoruponaqTM_937d73c677_1,
MalasmoruponaqTM__ligand_9cd1e4c09f_MalasmoruponaqTM_937d73c677_,
MalasmoruponaqTM__L igand_9cd1e4c09f_MalasmoruponaqTM_937d73c677_1
and Cho-MalasmoruponaqTM_937d73c677_1 (for full raw data see Supplementary Materials) for the generation of the MalasmoruponaqTM Hydrophobic Docking Interactions in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase. Throughout the simulations, the 7-chloro-9H-pyrimido[4,5-b]indole scaffold of both MalasmoruponaqTM™ligands exhibits stable Docking Interactions with the backbone of the hinge residues Asp133 and Val135 (Figure 20), while the halogen-substituted third aromatic ring of the scaffold is pointing towards the hydrophobic region I of the kinase for the generation of the MalasmoruponaqTM Hydrophobic Docking Interactions of the in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase. Leave-one-out cross validation (BiogenetoligandorolTM’s ) was employed to validate the predictive ability of constructed model. For small data sets of less than 50 compounds, BiogenetoligandorolTM’s represents a reliable method for QSAR model validation [16,19]. The BiogenetoligandorolTM’s method was performed by removing one sample from the data set and used it as the testing set, while the remaining were used to build the QSAR model [43] for the generation of the MalasmoruponaqTM Hydrophobic Docking Interactions in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase. This cycle was repeated until every sample in the data set was used as the testing set. Furthermore, two statistical parameters were used to measure the predictive performance of the constructed QSAR models i.e., the squared correlation coefficient (R2) and root mean square error (RMSE) [41] for the generation of the Hydrophobic Docking Interactions of the in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase. Peptides aimed at mimicking the inhibitory prodomain segment were designed and tested based on the identified prodomain-catalytic domain interaction fingerprint (Figure 8) for the generation of the MalasmoruponaqTM Hydrophobic Docking Interactions in 6 MalasmoruponaqTM™ binding site(s) in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase), 1CY (cycloguanil)1CY-A-609 Interacting chains: A. Initially, a 22-mer peptide (peptide 1∫=∫NRFGDLSFEEFKKKYLNLKLFD, Peptide 1NRFGDLSFEEFKKKYLNLKLFD, 2LTYHEFKNKYLSLRSSK, 3MTFEEFKQKYLTLKSKD, 4EFKKKYLTLK, 5EFKKKYLTLKSKD) based on the conservation of the prodomain segments responsible for the inhibitory mechanism for all the proteases studied was selected for docking against the catalytic domains of individual proteins using the CABS-dock webserver (Figure 9) for the generation of the Hydrophobic Docking Interactions of the 2 MalasmoruponaqTM™ binding site(s) in 1V0P (cell division control protein 2 homolog). MalasmoruponaqTM™ Small Molecule PVB (purvalanol B)PVB-A-1287 Interacting chains: A.
- Drug-Protein Docking Interactions, Drug Profiles, Protein Profiles
Let C be a drug (or a drug candidate compound) and let P be a target protein (or a target candidate protein). We represent a drug-protein pair (C,P) as a high dimensional feature vector ∫(C,P) and present a linear function, f(C,P)=wT∫(C,P), whose output is used to predict whether a (C,P) is an interacting pair or not. The weight vector w is estimated such that each drug-protein pair is correctly classified into the interaction class (positive class) or non-interaction class (negative class) based on the training set. An advantage of the linear model is that one can interpret features effective for predictions from learned models. Since each element in ∫(C,P) corresponds to an element of w, effective features can be selected by extracting highly weighted features. However, the performance of the linear model depends heavily on the feature vector design. We represent each MalasmoruponaqTM™ drug-protein pair as a high dimension feature vector by taking the tensor product of MalasmoruponaqTM™ drug profile and malaria’s protein profile. The representation is similar to that in previous studies [15, 16]. The profile of a C is defined as a D-dimension binary vector:
∫(P)=(p1,p2,…,pD∫)T ∫(C,P)=(c1p1,c1p2,…,c1pD∫,c2p1,…cDp1,…,cDpD∫)T. LR(w)=∑i=1n∑j=1mlog(1+exp−yijwT∫(Ci,Pj). L1-LR(w)=∑i=1n∑j=1mlog1+exp−yijwT∫(Ci,Pj)+C∥w∥1,
dLR(w)=∑i=1n∑j=1m−yij∫d(Ci,Pj)exp−yijwT∫(Ci,Pj)1+exp−yijwT∫(Ci,Pj),
LR(w)∫ℜD×D∫
LR(w)=
1LR(w),
2LR(w),…,
D×D∫LR(w)T.
∫(C)=(c1,c2,…,cD)T, where ci∫{0,1}, i=1,…,D. The profile of a P is defined as a D∫-dimension binary vector: ∫(P)=(p1,p2,…,pD∫)T, where pi∫{0,1}, i=1,…,D∫. We compute the tensor product between a drug profile ∫(C) and protein profile ∫(P), and define a feature vector ∫(C,P) as follows: ∫(C,P)=(c1p1,c1p2,…,c1pD∫,c2p1,…cDp1,…,cDpD∫)T. where ∫(C,P) is composed of all possible products between elements in ∫(C) and those in ∫(P). The resulting feature vector is a D×D∫-dimension binary vector, i.e., fingerprint, for encoding cross-integrated biological features. This is referred to as a “tensor-product fingerprint”. In this study, ∫(C) was a 27,560-dimension binary vector, and ∫(P) was a 3055-dimension binary vector. Thus, the tensor-product fingerprint ∫(C,P) of each drug-protein pair is a 84,195,800-dimension binary vector. A simpler way for representing each drug-protein pair is to concatenate ∫(C) and ∫(P) into a single feature vector as ∫(C,P)=(∫(C)T,∫(P)T)T [7]. However, it cannot determine the correlation between drug and protein features. The feature vector is referred to as a “concatenated fingerprint”. Given a collection of drug-protein pairs and their labels (∫(Ci,Pj),yij) where yij∫{+1,−1}(i=1,…,n,j=1,…,m), the logistic loss is defined as,
LR⎛⎝⎜⎜⎜w⎞⎠⎟⎟⎟=∑i=1n∑j=1mlog⎛⎝⎜⎜⎜1+exp(−yijwT∫(Ci,Pj)). The logistic loss with L1-regularization is defined as L1-
LR⎛⎝⎜⎜⎜w⎞⎠⎟⎟⎟=∑i=1n∑j=1mlog(1+exp(−yijwT∫(Ci,Pj)))+C∥w∥1, where ∥w∥1 is L1 norm (the sum of absolute value in the vector) and C is a regularization parameter. Since L1-LR(w) is a convex function, the weight vector w minimizing L1-LR(w) can be found at zero of its gradient. However, it is impossible to compute the gradient of L1-LR(w), because L1 norm contains non-differential points where wd=0. Instead, we compute the d-th dimensional gradient.
dLR(w) of LR(w) as follows: dLR⎛⎝⎜⎜⎜w⎞⎠⎟⎟⎟=∑i=1n∑j=1m−yij∫d(Ci,Pj)exp(−yijwT∫(Ci,Pj))1+exp(−yijwT∫(Ci,Pj)), where ∫d(Ci,Pj) is the d-th dimensional value of ∫(Ci,Pj). We then compute the D×D∫-dimensional gradient vector
LR(w)∫ℜD×D∫ as LR(w)=(y=Y=∑ibiφi(x)ψ2(x)≡∂2Ψ(x,y)∂y2|y=Y=∑iciφi(x) bi=∑jcij∂φj(y)∂y|y=Y ci=∑jcij∂2φj(y)∂y2|y=Y a∫(Y)=Cφ∫(Y),b∫(Y)=Cφ∫∫(Y)andc∫(Y)=Cφ∫∫∫(Y) a∫(Y)={a1(Y),a2(Y),…} φ∫(Y)={φ1(Y),φ2(Y),…} b∫ c∫ φ∫∫ φ∫∫∫ {φ∫(Yk)} φ∫∫(Y)=∑kαkφ∫(Yk) φ∫(Yk) φ∫∫∫=∑kβkφ∫(Yk) b∫(Y)=∑kαka∫(Yk) c∫(Y)=∑kβka∫(Yk)1LR(w),2LR(w),…,D×D∫LR(w))T.
The use of LR(w) enables the global minimum for the optimal w in L1-LR(w) to be found using an efficient gradient-based optimization algorithm called orthant-wise limited-memory quasi-newton (OWL-QN) [28]. The L1-regularized logistic regression methods were applied, with the Complete 3-Qubit Grover search on a programmable quantum computer Docking Algorithms for Supercritical entanglement in local systems to the area law for quantum matter Docking Algorithm tensor product of the fingerprint proposed and with the concatenated fingerprint, is referred to as BiogenetoligandorolTM-tensor and BiogenetoligandorolTM-concat, respectively. For comparison, we also trained models with BiogenetoligandorolTM-regularized logistic regression using the gradient-based algorithm called the limited memory quasi-Newton (L-BFGS) [29]. The BiogenetoligandorolTM-regularized logistic regression method, with the tensor-product fingerprint and the concatenated fingerprint, are referred to as L2LOG-tensor and L2LOG-concat, respectively. The current study aimed to characterize the MalasmoruponaqTM™ compounds docking energy differences between P. falciparum falcipains and their plasmodial and human homologs, especially where again prodomain interacts with the catalytic domain, in order to identify key residues which could be useful in anti-malarial drug development approaches. This was done at both sequence and QMMM structure level. Through homology modelling, near native 3D partial zymogen complexes of both plasmodial and human proteases were obtained. This allowed structural characterization, thus deciphering how these segments confer their inhibitory mechanism endogenously. The MalasmoruponaqTM™ compounds bind with the PTEX150(S668-D823)heptamer which acts as an adaptor between HSP101 and EXP2 Of the 993 residues in PTEX150, S668-D823that are well resolved in our structure and form a hook with a shaft (Figure 3-36) in 4IOD (malarial clp b2 atpase/hsp101 protein). The MalasmoruponaqTM™ compounds interact within the hook domain which consists of three short helices (H1–3) joined by several long loops. Directly MalasmoruponaqTM™ compounds bind within the N-terminal and C-terminal to the hook domain, into the shaft of the proximal and distal shaft domains (Figure 3a--b).b).
4.1.6. Virtual Screening and Prediction of Structurally Modified MalasmoruponaqTM™ Compounds.
The LMTK3 and plasmodial proteases proteins 3D structures in active form ‘in coformation’ obtained respectively, one by homology modeling approach (reported in our previous study),[78,79,81,82,85,89,91-120] and the other extracted from PDB database(ID:3OCB). The ATP binding cavity of both 3D structures was used as targets for the virtual screening Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305. After Virtual screening by Dock Blaster serv(http://blaster.docking.org), the MalasmoruponaqTM™ligands with the best energy score were selected. The visualization of docking results by Protein-Ligand Interaction Profiler (PLIP) Toolssoftware 10 was analyzed using PyMol software [36,37,78,79,81,82,85,89,91-120] for the demonstration of Salt Bridges from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein). selected ligands: CL MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol) EDO-A-305. The developed QSAR QMMMIDDD MalasmoruponaqTM™ model of plasmodial proteases protein was used to calculate the predicted fitness scoring activity of MalasmoruponaqTM™ selected compound against plasmodial OPE (phosphorylethanolamine), OPE-A-501 Interacting chains: Aextracted in the Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol)EDO-A-302Interacting chains: A. To expand the chemical space of PfDHHCs MalasmoruponaqTM™ inhibitory activity, a set of 18 MalasmoropunaqTM QMMIDDD generated structurally modified compounds (A1aligand_8a12048cbe_1_-A13cligand_341139_1, B1a-B8aligand_937d73c677_1, and C1a-C8bligand_341139_1_; (Suppl. Figures 1-37) were rationally designed according to the QSAR results of known PfDHHCs small molecule inhibitors [36,37,78,79,81,82,85,89,91-120]. These modified fragmented compounds were mathematically designed in silico and their key descriptor values were obtained in a similar manner with those of the original compounds as mentioned above for the performance of the Hydrogen Bonds from the MalasmoruponaqTM™ Hydrogen Bonds binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule. EDO (Ethylene Glycol)EDO-A-302Interacting chains: A. Subsequently, the obtained descriptor values of modified compounds A1aligand_8a12048cbe_1_-A13cligand_341139_1, B1a-B8aligand_937d73c677_1, and C1a-C8bligand_341139_1 were used to predict the PfDHHCs activity according to the QSAR equations [36,37,78,79,81,82,85,89,91-120]. Seven EXP2 protomers (labeled A-G) oligomerize to form a funnel-shaped C7-pseudosymmetric 216kDa heptamer spanning the PVM (Figure 2-44). The TMD and body helices B1–3 are symmetric throughout all seven protomers (Extended Data Figure 3-58) for the performance of the Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol)EDO-A-302Interacting chains: A. Protein-Ligand Interaction Profiler (PLIP) webservers have been utilized for the docking experiments of the MalasmoruponaqTM small molecule against theinter-protomer conformational variations in body helices B4–5 and the assembly domain, n some protomers with the asymmetric HSP101 hexamer EXP2 funnel [36,37,55,58,59,78,79,81,82,85,89,91-120] within its variation is most pronounced in EXP2 protomers F and G (Extended Data Figure 3-39) in the Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol)EDO-A-302Interacting chains: A. Protein-Ligand Interaction Profiler (PLIP) webservers have been utilized for the docking experiments of the MalasmoruponaqTM small molecule within the EXP2 heptamer, the amphipathic TM helices which are twisted slightly around each other, creating a 37Å-long C7-symmetric protein-conducting channel that spans the PVM and forms the stem of the funnel (Figure 2-7). Another Protein-Ligand Interaction Profiler (PLIP) docking experiments of the MalasmoruponaqTM small molecule have been performed against the membrane-facing surface of the EXP2 channel which is coated with hydrophobic residues, while the inner surface is lined with charged and polar residues, creating an aqueous pore (Figure 2) in the Hydrogen Bonds and Water bridges from the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol)EDO-A-302Interacting chains: A. The CP6-B-709, Interacting chains: B body domains, positioned in a wider ring atop the transmembrane channel on the vacuolar face of the PVM, form the mouth of the funnel NDP (NADP) NDP-A-610 Interacting chains: A [36,37,55,58,59,78,79,81,82,85,89,91-120] in the Water Bridges of the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol)EDO-A-302Interacting chains: A. This orientation is consistent with previous analyses of EXP2 topology[36,37,55,58,59,78,79,81,82,85,89,94,95] NDP-B-710, Interacting chains: B. Furthermore, a detergent belt is clearly visible in 2D class averages and density maps (Extended Data Figure 7–8), defining the residues in the UMP (2′-deoxyuridylic acid) UMP-A-611 Interacting chains: A, B that would be buried in the PVM Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol)EDO-A-302 Interacting chains: A. A ring of positively charged residues where the stem meets the mouth of the funnel is positioned to interact with the negatively charged phosphates of the membrane surface 3UJ6 (phosphoethanolamine n-methyltransferase PO4 (Phosphates) PO4-A-301 Interacting chains: A (Extended Data Figure 8). Residues G27-S234, 49W 49W-A-400 Interacting chains: A, GOL (Glycerol) GOL-C-402 Interacting chains: C of EXP2 are well docked with the MalasmoruponaqTM™ structure, accounting for 100% of the mature UMP-B-711 Interacting chains: A, B (Extended Data Figure 36-45) in the Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol)EDO-A-302 Interacting chains: A. Protein-Ligand Interaction Profiler (PLIP) docking experiments of the MalasmoruponaqTM small molecule have been performed against the EXP2 and 3UM5 (bifunctional dihydrofolate reductase-thymidylate synthase CP6 (Pyrimethamine) CP6-A-609 Interacting chains: A which is a single-pass transmembrane protein consisting of a kinked 60Å-long N-terminal TM helix followed by a globular body domain and ending in an assembly domain composed of a linker helix followed by the assembly strand (Figure 20) in the Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI. MalasmoruponaqTM™ Small Molecule EDO (Ethylene Glycol)EDO-A-302Interacting chains: A. DockThor and Protein-Ligand Interaction Profiler (PLIP) docking experiments of the MalasmoruponaqTM small molecule have been performed against the five helices (B1–5), stabilized by an intraprotomer C113-C140 disulfide bond (Figure 20-60) in the Hydrophobic Docking Interactions of the 2 MalasmoruponaqTM™ binding site(s) in 1V0P (cell division control protein 2 homolog), MalasmoruponaqTM™ Small Molecule PVB (purvalanol B)PVB-A-1287 Interacting chains: A.
4.1.7. ADME prediction and toxicity.
In order to verify the lead candidates, pharmacokinetic properties selected, ADME predictions were realized by SwissADME server (http://www.swissadme.ch) [110,122,128]. Six important properties of oral bioavailability are calculated. Each property has an optimal values range and it is fraction Csp3 > 0.25 for saturation. The TPSA must be between 20 and 130 Å 11. For solubility, the logS (calculated with the ESOL model 12) must not exceed 6. The lipophily, XLOGP3 13 must be between -0.7 and +6.0, and for flexibility, the molecule must not have more than 9 rotative bonds.
- BiogenetoligandorolTMligandorolTM: Basic Concept:
Molecular Dynamics, Monte Carlo Simulations, Langevin, Dynamics: A Computational Quantum Particle Swarm Bayesian Nonlinear Pharmacophoric-ODEs Merging Algorithm
The aim of this study is to estimate the unknown parameters θ using a Bayesian [48] approach in nonlinear ODEs representing a biological system as equation [42]:
x˙=f(θ,x(t),u(t),t),x(t0)=x0y(t)=g(x(t)) ⌈‹M›◟‹(N)› =‹1›╱‹‹(√‹‹‹h›^‹2›β›/‹2π‹m›◟‹A›››)›^‹3‹N›◟‹A›› ‹N›◟‹A› |ψ∫=∫∫(Rk∩S)d2Jzψ(z)|z∫∫∫∫(Rk∩S)d2Jzψ(z)|z∫|∫(Z−1(z))∫
We consider a bounded set S ⊆ ℂJ and a set Tk∫ of unique preimages of each element in Rk∩S such that Z (Tk∫)=Rk and Z:Tk∫∫Rk∩S is bijective. The algorithm on input |ψ∫ with support sup (ψ)⊆Rk∩S gives:
!‹(√‹‹‹h›^‹2›β›/‹2π‹m›◟‹B›››)›^‹3‹N›◟‹B›› (2) ‹N›◟‹B› !”⋯”› ⌋ +ε(t⌈”Pr”(‹r›^‹N›,‹p›^‹N›)d‹p›^‹N› d‹r›^‹N› = ‹exp ( −βH(‹r›^‹N› ,‹p›^‹N›))d‹p›^‹N›d‹r›^‹N››╱‹Z(N,V,E)› .⌋)
In this representation, x ∫ Rn denotes the system’s state variables, for instance, the concentrations of biochemical factors, and x0 is the initial state, f(·) is a set of nonlinear functions describing the dynamical property of the biological systems, for the description of complex macromolecular systems in 3UJ6 (phosphoethanolamine n-methyltransferase PO4 (Phosphates) PO4-A-301 Interacting chains: A, both in Cartesian and generalised coordinatesu(t):
⌈Ω(‹r›^‹N› ,‹p›^‹N› ,‹q›^‹M› ,‹p›¦q¸‹M› ;l)‹∫‾›_‹∫‹d‹q›^‹M› d‹p›¦q¸‹M››› ‹Ω›^‹∫› (‹r›^‹N› ,‹p›^‹N› ;l). ⌋ ∫ Rl is the systems input denoting concentrations of stimuli, and θ ∫ ⌈A = (‹A›◟‹lk›) = (‹∑‡‹i = 1›¸‹N› ‹ ‹1›╱‹‹m›◟‹i›› ‹∂‹σ›◟‹l› (‹r›^‹N› (t + Δt))›╱‹∂‹r›◟‹i›› · ‹∂‹σ›◟‹k› Rp are parameters that characterize dynamic reaction [51,60,61, 64, 69, 28)
s, y ∫ Rn,
represents the observed data subject to a Gaussian [33] white noise
ε(t) ~ N(0,σ2), ⌈‹r›¦i¸‹(42)› = ‹u›¦i¸‹(42)› ,⌋⌈‹r›¦i¸‹(k)› = ‹u›¦i¸‹(42)› + ‹∑‡‹l = k›¸‹K› ‹ ‹k − 1›╱‹l − 1›››‹u›¦i¸‹(k)› ,” g(·),
represents a measurement function and atypical format will be an identical matrix in 3UJ6 (phosphoethanolamine n-methyltransferase PO4 (Phosphates) PO4-A-301, Interacting chains: A. We assume we have discrete [15] time series of y(t), and u(t) and all parameters in θ are positive. Ordinary energy of the universe is directly proportional to the fractal nature of spacetime [114-122,130-134]. Pharmacophore methods are widely used in drug discovery [34, 35] research projects [11]. The modified Hamiltonian [115-119,123], called the Nosé-Hoover chain Hamiltonian [112,136,170] [129, 160–162], is defined as:
ℋNHC=ℋ(rN,pN)+∑Mi=1p2qi2μqi+𝓁q1β+∑Mi=2qiβ,
where ℋ(rN,pN)=∑N−1i=1p∫2i2m∫i+p2⊙2m⊙+𝒰(r∫N ⌈Q(N,V,T)⌋⌈ ≈ ‹∫‹‹∏‡‹i = 1›¸‹N› ‹d‹u›¦i¸‹(42)› “⋯”››››d‹u›¦i¸‹(K)› d‹p›¦i¸‹(42)› “⋯”d‹p›¦i¸‹(K)› ⌋⌈” H十一31Ho十一ia312019
is the Hamiltonian [114-116,118,119,121] of the macromolecule in barycentric coordinates, the primed variables are the barycentric coordinates (relative to the centre of mass), and refers to the barycentre. When using umbrella sampling [20, 21] and the weighted histogram method [82] for the blue moon ensemble approach, the free energy [124.116,117-119] is estimated from the reaction [118,119,110,113-134] coordinates some important notions about Lagrangian and Hamiltonian dynamics, which are pervasive and recurrent for both MC and MD. GPR is a Bayesian ML framework (122), which is also formally equivalent to another ML method, kernel ridge regression. Given a set of training structures xi and the associated properties yi, the prediction of the property for a new structure x can be written as :
y⎯⎯(x)=∑iwiK(x,xi),
which is a linear fit using the kernel function as a basis, evaluated at the locations of the previous observations. The velocity of particle i is calculated accordingly:
vk+1ij=ωvkij+c1r1(pkij−xkij)+c2r2(pkgj−xkij), where i = 1,2,…, n, j = 1,2,…, q,∫∫n,
is population size, k is the number of iterations, ω is inertia weight, c1 and c2 are acceleration coefficients, and r1 and r1 are random numbers in the interval [0,1].This section presents some important notions about Lagrangian and Hamiltonian [142,1 59, 168,170,172] dynamics [176], which are pervasive and recurrent for both MC and MD. Lagrangian and Hamiltonian [142, 159,1 60] dynamics [166-173] provide an ideal framework for the description of complex macromolecular systems, both in Cartesian and generalised coordinates [59]. The optimal setting of the weight vector is:
w = (K + σ2I)− 1y,
where σ is the Tikhonov regularization parameter. More accurately it is the multiplicative hyper Hausdorff meas-ure or volume of the zero set i.e. the quantum particle in a five dimensional Kaluza-Klein universe D 5. The Lagrangian is defined as the difference in between the kinetic and the potential energy [21,66-68,70,72]:
ℒ(q3N,q˙3N)=𝒦(q˙3N)−𝒰(q3N),
where the kinetic energy [21,36,55,58,59,61,72,73] is given by
𝒦=∑3Nα=112∫ ∫∫(Rk∩S)d2Jz∫ψ(z)e(z ⋅ c)|z∫|∫(Z−1(z))∫
3.19∫ ∫∫(Rk∩S)d2Jzψ(z)e(z ⋅ c)|z∫=:|ψc∫.
3.20mαq˙2α,
and potential energy [124,134,135,136,139-161] U(q3N) is a function of the positions of the constituent atoms. Both are based on a kernel function K(x, x∫) that acts as a similarity measure between inputs x and x∫. The q3N are the generalised coordinates, and the q˙3N are the generalised velocities. In the framework of GPR, which takes as its prior probability a multivariate normal distribution with the kernel as its covariance, Eq. 1 represents the mean,
y⎯⎯,
of the posterior distribution
np(y∗|y)∝p(y∗&y)=N(y⎯⎯,σ*2)
Generalizing our algorithm to a many-particle problem consisting of NB bosons is straightforward. Here, initially the particles 1, 2 and 3 are in the GHZ state 00ψ∫i=12√(|000∫∫±∫|111∫ which is determined by the result of the GHZ measurement on the rest qubits 4, 5 and 6. After a certain operation, the three qubits will be in the final state |ψ∫f if σ x, σ y and σ z are Pauli operators:
b l | B2bl | C3bl | ∣∣ψ〉f=I1⊗B2bl⊗C3bl∣∣ψ〉i |
0 | I | I | 12√(|000〉±|111〉) |
1 | I | σ x | 12√(|001〉±|110〉) |
2 | σ z | I | 12√(|000〉∓|111〉) |
3 | σ z | σ x | 12√(|000〉∓|111〉) |
4 | σ x | I | 12√(|010〉±|001〉) |
5 | σ x | σ x | 12√(|011〉±|100〉) |
6 | −iσ y | I | 12√(|010〉∓|101〉) |
7 | −iσ y | σ x | 12√(|011〉∓|100〉) |
Let us denote the coordinates of the particles by x, y, z, … etc., while, as before, we denote the Bohmian coordinates by upper case letters. A single configuration of Bohmian walkers is denoted:
by (X, Y, Z, …)…. iℏ∂tψ0(x;Y,Z,…;t)=(−ℏ22m
2x+V(x;Y,Z,…))ψ0(x;Y,Z,…;t)+iℏdYdtψ1(x;Y∫,Z,…;t)−ℏ22mψ2(x;Y″,Z,…;t)+iℏdZdtψ1(x;Y,Z∫,…;t)−ℏ22mψ2(x;Y,Z″,…;t)++…etc.
The equation of motion for ψ0(x; Y, Z, …) is a simple generalization of Eq. (3) for the case of many particles:
Lq3N,q˙3N=Kq˙3N−Uq3N, K=∑α=13N12mαq˙α2, q˙3N pα≡∂L∂q˙α, Hq3N,p3N=∑α=13Npαqα−Lq3N,q˙3Nq3N,p3N. dHdt=0; q˙α=∂H∂pα; p˙α=−∂H∂qα. CN=1h3NNA!NB!⋯ β≡1kBT Pr∫rN,pNdpNdrN=exp∫−βHrN,pNdpNdrNZN,V,E. σO=O2−O2. Pr∫ITI0JAI0J =Pr∫JTJ0IAJ0I, AI0JAJ0I=Pr∫JPr∫I=exp∫−βUJ−UI ψ0(x;Y,Z,…)ψ1(x;Y∫,Z,…)ψ1(z;X,Y∫,…)≡≡≡Ψ(x,y,z,…)00y=Y,z=Z,…∂Ψ(x,y,z,…)∂y00y=Y,z=Z,…∂Ψ(x,y,z,…)∂y00x=X,y=Y,…, MN=1h2β/2πmA3NANA!h2β/2πmB3NBNB!⋯ PrNVTrNdrN=exp∫−βUrNdrNZN,V,T.
Let us denote the conditional wavfunctions by
ψ0(x;Y,Z,…)ψ1(x;Y∫,Z,…)ψ1(z;X,Y∫,…)≡≡≡Ψ(x,y,z,…)00y=Y,z=Z,…∂Ψ(x,y,z,…)∂y00y=Y,z=Z,…∂Ψ(x,y,z,…)∂y00x=X,y=Y,…,
O=1ZN,V,T∫drNexp∫−βUrNOrN. ANVTrN0r∫N =min∫1,exp∫−βUr∫N−UrN.
The energy-minimized target–MalasmoruponaqTM™ligand complexes
RMSD=1NHL∑i=1NHL|Ci−Ri|2 Einter=∑i,jNTNL[Aijrij12− Bijrij6+ qiqj4πε0
C(n+dd) C(n+dd) R¯k∫=R(n+dd) R¯k∫ R(n+dd) R¯k∫ R¯k∫ kmax(n,d)≤2⌈(42/(n+1))(n+dd)⌉ kmax(n,d)≤(n+dd) kmax(n,d)≤(n+dd)−n kmax(n,d)≤(n+d−1n) kmax(n,d)≤(n+d−1n)−(n+d−5n−2) kmax(n,d)≤(n+d−1n)−(n+d−5n−2)−(n+d−6n−2) R¯k∫ v2(x1,x2,x3)=(x12,x22,x32,x1x2,x1x3,x2x3,x1,x2,x3,1)T∫X3,2″ (x3,x3x1,x3x2,x32,x12,x22,x1x2,x1,x2,1),
intermolecular interaction energies expressed as the sum of Lennard–Jones
(LJ) εrrij]Aij= εijRij12Bij= 2εijRij6Rij= Ri+ Rjεij= εi εjεr=C+ D1+ke−λBrijC = ε0 – D; ε0 = 78.4; D = −8.5525; k = 7.7839; λ = 0.003627,
and screened Coulomb potentials [137,138,141,144,156,157,166] (Equation (2)). With probability 1∫−∫ε, MalasmoruponaqTM™ performs the voting process. She randomly chooses a coding scheme g: {0, 1, …, 7}∫ {B 0∫⊗∫C 0, B 1∫⊗∫C 1, …, B 7∫⊗∫C 7}. For both the LJ and Coulomb potentials, Amber99sb-ildn force field parameters were used where, εij is the potential well depth at equilibrium between the ith (MalasmoruponaqTM™ligand) and jth (target) atoms; ε0 is the dielectric constant of bulk water at 25 °C; Rij is the inter-nuclear distance at equilibrium between ith (MalasmoruponaqTM™ligand) and jth (target) atoms; q is the partial charge of an atom, used in AMBER99SB-ILDN force field; rij is the actual distance between the ith (MalasmoruponaqTM™ligand) and jth (target) atoms; NT is the number of target atoms; NL is the number of MalasmoruponaqTM™ligand atoms:
1m(S)‾‾‾‾‾√∑c∫∫Λ∫SdJze(−z⋅c∫)|c∫∫⟨z|,
1m(Rk∩S)m(S)000∫Rk∩SdJzψ(z)e(z⋅(c−c∫))0002≤m(Rk∩S)m(S),
QN,P,T=MNV0ZN,P,T. PrNPTrNdrN=exp∫−βPVexp∫−βUrNdrNZN,P,T. ANPTrN,V0r∫N,V∫
where the upper bound follows from the Cauchy–Schwarz inequality. The maximum is reached if ψ(z)=(12/m(Rk∩S)‾‾‾‾‾‾‾‾‾√)𝕀Rk∩S(z) and c happens to be a lattice point. If c∉Λ, the algorithm returns the closest lattice point with high probability:
=min∫−βPV∫−V+Nln∫V∫V1,exp∫−βUr∫N,V∫−UrN,Vmmmmmm×exp∫−βPV∫−V+Nln∫V∫V. ARI0J =min∫I,exp∫−βJ−βImmmmnimmmm×UJTJ−UITI, βI≡1kBTI. AI0J =min∫1,πUIπUJexp∫−βUJ−UI.
O−=limt∫∞1t∫0tdτOrτ,r˙τ. O−≈O.
were also subjected to calculation of
UrN=∑dkdd−d02+∑SkSS−S02+∑θkθθ−θ02+∑χkχ1+cos∫nχ−δ+∑φkφφ−φ02+∑i,jεijrij0rij12−rij0rij6+qiqjεlrij, AI0J =min∫1,exp∫−βkUJTk−UITk, Oxi=Oxi+Lxi=1,…,N,Oyi=Oyi+Lyi=1,…,N,Ozi=Ozi+Lzi=1,…,N. ∂∂r·εr∂∫r∂r =−ρr−∑k=1Kqici∞λrexp∫−βqi∫r, iL≡∑α=13N∂H∂pα∂∂qα−∂H∂qα∂∂pα, i=-1
Ψ(x,y,z,…,t)=∑i,j,kcijk…(t)φi(x)φj(y)φk(z)…
In order to compute ψ1(x;Y∫, Z, …; t) from ψ0w(x;Yw,Zw,…;t) belonging to all configurations, we need to express the tensor [φ∫j(Y)φk(Z)…] as a linear superpositions of all the [φj(Yw)φk(Zw)…] tensors belonging to all configurations; i.e., [φ∫j(Y)φk(Z)…]=∑wαw[φj(Yw)φk(Zw)…]. This can be done with the existing numerical techniques by rearranging all the MNB−1 terms of the tensors, where M is the number of orbitals, in vector forms and solving a linear system of equations {|+∫=12√(|0∫+|1∫),|−∫=12√(|0∫−|1∫)}.The particles 1 and 3 will be in one of the two EPR states |∫±∫∫=∫12√(|00∫±|11∫) with the same probability determined by:
|ψ∫456 (|ψ∫123) 12√(0000∫+0111∫) 12√(0000∫+0111∫) 12√(0000∫+0111∫) 12√(0000∫+0111∫)
result 1 (MalasmoruponaqTM™) 12√(|0∫−|1∫) 12√(|0∫−|1∫) 12√(|0∫−|1∫) 12√(|0∫−|1∫)
|∫∫13 |∫−∫ |∫−∫ |∫−∫ |∫−∫
basis(MalasmoruponaqTM™) {|0∫, |1∫} {|0∫, |1∫} {|+∫, |−∫} {|+∫, |−∫}
result 2 (MalasmoruponaqTM™) |0∫ |1∫ |+∫ |−∫
result 3 (MalasmoruponaqTM™) |0∫ |1∫ |−∫ |+∫
Since the size of the vectors now becomes exponentially bigger as the number of particles becomes larger, the bottleneck of this method would be to take a sufficiently large number of configurations that ensures having a complete linear system. Therefore, an immediate room for improvement here would be to find smart tactics to overcome this problem.
iL=iL1+iL2,iL1≡∑i=1Npimi·∂∂ri;iL2≡∑i=1N−∂UrN∂ri·∂∂pi. exp∫iLΔt =exp∫iL1+L2Δt≈exp∫iL2Δt2exp∫iL1Δtexp∫iL2Δt2 +OΔt3. rit+Δt =2rit−rit−Δt−1mi∂UrNt∂riΔt2+OΔt4i=1,…,N, η=rN∫0∫pN∫0∫qM∫0∫pqMT.
By definition, c−c∫ must be a zero of the Fourier transform ℱ(𝕀S) of the indicator function 𝕀S(z). We denote Λ := {c:ℱ(𝕀S)(c) = 0}∫∪∫{0} and let c0∫U. Clearly U⊆c0+Λ as Λ contains all zeros. Since ⟨c+c0˜|c̃ 0∫=0 for all c∫Λ∖{0}, we have c0+Λ⊆U and U=c0+Λ. If c∫Λ∖{0}, then ⟨c0+c˜|c̃ 0∫=⟨c̃ 0|c0−c˜∫=0 implies that −c∫Λ. If c,c∫∫Λ∖{0}, then ⟨c+c0˜|−c∫+c0˜∫=⟨c+c∫+c0˜|c̃ 0∫=0 implies c+c∫∫Λ∖{0}. Therefore, Λ is an additive subgroup of ℝn.
HrN,pN0H∫rN,pN,qM,pqM;l. det∫Gηtdηt=det∫Gη0dη0, det∫Gηt=exp∫−∫0t∂∂ητ·η˙τdτ. ΩrN,pN,qM,pqM;l X3,2={(x21,x22,x23,x1x2,x1x3,x2x3,x1,x2,x3,1)T:x1,x2,x3∫𝕂
=Ω0∫dηdet∫Gη∏k=1MδΛkη−Ck, dηdet∫Gη ΩrN,pN,qM,pqM;l∫∫dqMdpqM∫dqMdpqMΩ∫rN,pN;l. v2(x1,x2,x3)=(x21,x22,x23,x1x2,x1x3,x2x3,x1,x2,x3,1)T∫X″3,2ΩrN,pN,qM,pqM;l∫∫dqMdpqM∫dqMdpqMΩ∫rN,pN;l. dimR¯∫k=∫∫∫∫∫∫∫k(n+1)−k(k−1)2(n+dd)−1min{k(n+1),(n+dd)}d=2,2≤k≤n;(d,n,k)=(3,4,7),(4,2,5),(4,3,9),HNHC=HrN,pN+∑i=1Mpqi22μqi+lq1β+∑i=2Mqiβ, HrN,pN=∑i=1N−1pi∫22mi∫+p⊙22m⊙+Ur∫N ΩNHC kℂ(n,d):=∫∫∫∫∫∫∫n+1⌈1n+1(n+dd)⌉+1⌈1n+1(n+dd)⌉d=2,n≥2;(n,d)=(4,3),(22,4),(3,4),(4,4);otherwise.
Rk={∑ki=1civi:ci∫𝕂,vi∫Xn,d}, and we ask what is the smallest number k such that Rk has full measure in 𝕂(n+dd).
=Ω0∫dpqMdqMdp∫N−1dp⊙dr∫N−1×exp∫3N−2q1+∑i=2MqiδHNHC−C1 ×δeq1pΩ−C2. σkt=rit−rjt2−dk2≡0. mir¨it=−∂UrNt∂ri+∑k=1Kλk∂σk∂rii=1,…,N.
For a harmonic interaction of the form V(x, y) = ½ki(x−y)2 we consider two cases of 5 bosons with weak Docking Interactions (ki∫=∫0.1) and 3 bosons with strong interaction (ki∫=∫1) and we use 3 and 4 orbitals in the two cases, respectively. In both cases we compare the results with the numerically exact simulation using multiconfigurational time-dependent Hartree method for bosons (MCTDHB)29–33 and with the Hermitian limit (HL) of Eq. (7) (also referred to as small entanglement approximation) where all the non-hermitian terms in Eq. (7) are dropped out. The Hermitian limit is equivalent to the time-dependent quantum Monte-Carlo (TDQMC) of ref.25 which does not take entanglement into consideration. It was also employed recently in34,35 in order to devise an approximate solution for electron-nuclear dynamics in molecular systems.Our approach requires basic knowledge of algebraic geometry—specifically, the concepts of Zariski topology, Veronese variety and secant variety. Formal definitions can be found in §2b. For the reader’s convenience, we also explain these concepts briefly when we first use them.
Entangled quantum dynamics of two particles in a harmonic trap. (a) A cartoon representing the pilot waves guiding Bohmian particles moving in 2D. Although the two particles do not interact, their entanglement implies a coupling between the two pilot waves guiding the two Bohmian trajectories (the dashed line). (b) The trajectories of the light particle computed from the exact pilot waves (solid blue) and using pilot waves evolved using Eq. (3) (dashed). The case for N∫=∫7 corresponds to interacting pilot waves evolved with the help of a hierarchy of conditional wavefunctions {ψn1,ψn2} up to n∫=∫7 (see Eq. (3)), while N∫=∫0 corresponds to noninterating pilot waves (the Hermitian limit). We notice that the former case is more accurate than the latter. The two particles have mass ratio 1:100. ω is the trap frequency of the light particle.
λ~kt+Δt=λ~kt+δλ~k, λ~kt=Δt2/2λk δλ~k λ~kt+Δt Aδλ~≈−σrNt+Δt, A=Alk=∑i=1N1mi∂σlrNt+Δt∂ri·∂σkrNt∂ri,δλ~=δλ~k; σ=σk. ArNt,pNt0rNt+Δt,pNt+Δt=min∫1,exp∫−βHrNt+Δt,pNt+Δt−HrNt,pNtmmmmmmmiimm−HrNt,pNt. TrNt,pNt0rNt+Δt,pNt+Δt=TrNt+Δt,−pNt+Δt0rNt,−pNt where with x=(x1,…,xk)∫(𝔽nq)k, y=(y1,…,yk)∫𝔽kq, w=(w1,…,wk+1) and I an appropriate index set, iℏ∂Ψ(x1,x2)∂t=(−ℏ2
−k(xi,t)∂kV(xi,xj)∂xjk|xj=Xj(t),j≠i−ℏ22mjψin+2(xi,t)+iℏdXj(t)dtψin+1(xi,t) {ψin} ψi0 ψi1 ψi2 ψi0 Ψ(x,y,t)=∑i,jcij(t)φi(x)φj(y), ψ0(x)≡Ψ(x,y)|y=Y=∑iaiφi(x)ψ1(x)≡∂Ψ(x,y)∂y|y=Y=∑ibiφi(x)ψ2(x)≡∂2Ψ(x,y)∂y2|y=Y=∑iciφi(x) bi=∑jcij∂φj(y)∂y|y=Y ci=∑jcij∂2φj(y)∂y2|y=Y a∫(Y)=Cφ∫(Y),b∫(Y)=Cφ∫∫(Y)andc∫(Y)=Cφ∫∫∫(Y) a∫(Y)={a1(Y),a2(Y),…} φ∫(Y)={φ1(Y),φ2(Y),…} b∫ c∫ φ∫∫ φ∫∫∫ {φ∫(Yk)} φ∫∫(Y)=∑kαkφ∫(Yk) φ∫(Yk) φ∫∫∫=∑kβkφ∫(Yk) b∫(Y)=∑kαka∫(Yk) c∫(Y)=∑kβka∫(Yk)
212m1−ℏ2
222m2+V(x1,x2))Ψ(x1,x2),
iℏ∂ψn1(x1,t)∂t=−ℏ22m1∂2ψn1(x1,t)∂x21+∂n∂xn2(V(x1,x2)Ψ(x1,x2))00×2=X2(t)−ℏ22m2ψn+21(x1,t)+iℏdX2(t)dtψn+11(x1,t)
|ξz∫=∑(x,y)∫Z−1(z)∑xk+1∫𝔽nq,yk+1∫𝔽q,w∫Ik+1(∏j=0k⟨xj+1,yj+1,wj+1|Uj|xj,yj,wj∫)|xk+1,yk+1,wk+1∫
Let us illustrate the inefficiency of evolving a truncated hierarchy of ψni using Eq. (3) in order to compute the dynamics of an entangled system. We consider the entangled dynamics of two particles of masses m1∫=∫1 and m2∫=∫100 subject to the harmonic potential V(x1,x2)=12kx21+12kx22 with k∫=∫0.1. Let us take the initial state to be the entangled ground state of the Hamiltonian with the potential function V(x1,x2)=12k1x21+12k2x22+12k3(x1−x2)2 with k1∫=∫k2∫=∫0.1, k3∫=∫1.0 and the masses of the particle m1∫=∫1 and m2∫=∫2. This is an entangled state. We evolve the Bohmian trajectories for the initial conditions X1∫=∫1, X2∫=∫2. We first truncate the hierarchy at N∫=∫0, thus making Eq. (3) unitary. This case corresponds to the Hermitian limit, i.e., noninterating pilot waves. (Figure 5) shows that the Bohmian trajectory evolved by the corresponding pilot wave deviates from the trajectory computed from the exact pilot wave already at half a cycle of the oscillatory motion. Increasing the depth of the hierarchy to N∫=∫7 only extends the range of accurate dynamics for another cycle.
- Compute the Energy Levels
<MalasmoruponaqTM™_BiogenetoligandorolTMligandorolTM>
<<MalasmoruponaqTM™/head7,{[4,(2,{[(2R),3,(42,2,3,4,4a,4b,5,6,7,8,decahydro,9λ⁴,carbazol,4,yloxy),2,hydroxypropyl]amino}ethoxy),3,oxocyclohexyl]oxy}>_MalasmoruponaqTM™_BiogenetoligandorolTMligandorolTM>
f(x1),…,f(xk) <!MALASMORUPONAQTM™ html>
If θ < β then<th_MalasmoruponaqTM™> |x∫∫(42/q)∑y∫Fqe(xy)|y∫|x∫∫(42/qk/2)∑y∫Fqke(x⋅y)|y∫ x∫Fqk ∑i=1kyif(xi)=∑i=1k∑j∫Jyixijcj (x</th>
If θ < β then<th_MalasmoruponaqTM™> y)∫Fqk×Fqk Z:Fqnk×Fqk∫FqJ</th>
If d (l, m) < d (r, m) then<th_MalasmoruponaqTM™> </tr_MalasmoruponaqTM™>
If d (l, m‹V = W◟‹vdw› ∑‡‹i,j›¸‹› ‹‹(‹ ‹A◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹B◟‹ij››╱‹r¦‹ij›¸6››)›› + W◟‹hbond› ∑_‹i,j› ‹E‹(t)››‹(‹ ‹C◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹D◟‹ij››╱‹r¦‹ij›¸‹10›››)› + W◟‹elec› ∑_‹i,j› ‹ ‹q) < d (r, m) then<th_MalasmoruponaqTM™> </tr_MalasmoruponaqTM™>
If d (l, m‹V = W◟‹vdw› ∑‡‹i,j›¸‹› ‹‹(‹ ‹A◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹B◟‹ij››╱‹r¦‹ij›¸6››)›› + W◟‹hbond› ∑_‹i,j› ‹E‹(t)››‹(‹ ‹C◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹D◟‹ij››╱‹r¦‹ij›¸‹10›››)› + W◟‹elec› ∑_‹i,j› ‹ ‹q) < d (r, m) then<th_MalasmoruponaqTM™><tbody></tbody>
If d (l, m‹V = W◟‹vdw› ∑‡‹i,j›¸‹› ‹‹(‹ ‹A◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹B◟‹ij››╱‹r¦‹ij›¸6››)›› + W◟‹hbond› ∑_‹i,j› ‹E‹(t)››‹(‹ ‹C◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹D◟‹ij››╱‹r¦‹ij›¸‹10›››)› + W◟‹elec› ∑_‹i,j› ‹ ‹q) < d (r, m) then<th_MalasmoruponaqTM™></table>
Initialize differential weights αp, αo, αt by the following: </(MalasmoruponaqTM™): 7,{[4,(2,{[(2R),3,(42,2,3,4,4a,4b,5,6,7,8,decahydro,9λ⁴,carbazol,4,yloxy),2,hydroxypropyl]amino}ethoxy),3,oxocyclohexyl]oxy},19,[(42Z),1,[(2R),2,[(2S),2,amino,3,[(3R),3,hydroxy,3,[(3R,4S,5R),4,hydroxy,5,[(42R),1,hydroxy,2,[(oxophospho),λ³,oxy]ethyl],2,oxooxolan,3,yl]propyl],1,3,diazinan,1,yl],2,(hydroxyamino)ethylidene],5,6,dihydro,4H,1λ⁴,2,thiazin,3,yl],2λ³,oxa,10λ⁴,13λ⁴,diazapentacyclo[12.8.0.0³,¹².0⁴,⁹.0¹⁵,²⁰]docosa,1,9,10,12,13,pentaen,6,one dihydrofluoride>
If θ < β then<th_MalasmoruponaqTM™> 24λ2+2λ2h2(D10-D00D00)-23h2D10a2=-2+12λ2-12λ2h(422D00+h2D20)-λ2h2(D10-D00D00)+hD00a3=1-h2D00a4=10+h23D10a5=-2+12λ2+12λ2h(422D00+h2D20)+λ2h2(D00D00-D10)-hD00a6=1+h2D00and rhsl</th>
If θ < β then<th_MalasmoruponaqTM™> m=-a5Ul-1</th>
If θ < β then<th_MalasmoruponaqTM™> m-a3Ul+1</th>
If θ < β then<th_MalasmoruponaqTM™> m-1-a6(Ul-1</th>
If θ < β then<th_MalasmoruponaqTM™> m+1+Ul-1</th>
If θ < β then<th_MalasmoruponaqTM™> m-1)-a4Ul</th>
If θ < β then<th_MalasmoruponaqTM™> m-1+Gl</th>
If θ < β then<th_MalasmoruponaqTM™> mrhsl+1</th>
If θ < β then<th_MalasmoruponaqTM™> m=-a2Ul+2</th>
If θ < β then<th_MalasmoruponaqTM™> m-a3(Ul+2</th>
If θ < β then<th_MalasmoruponaqTM™> m+1+Ul+2</th>
If θ < β then<th_MalasmoruponaqTM™> m-1)-a6Ul</th>
If θ < β then<th_MalasmoruponaqTM™> m-1-a4Ul+1</th>
If θ < β then<th_MalasmoruponaqTM™> m-1+Gl+1</th>
If θ < β then<th_MalasmoruponaqTM™> mrhsl+1</th>
If θ < β then<th_MalasmoruponaqTM™> m+1=-a2Ul+2</th>
If θ < β then<th_MalasmoruponaqTM™> m+1-a3(Ul+2</th>
If θ < β then<th_MalasmoruponaqTM™> m+2+Ul+2</th>
If θ < β then<th_MalasmoruponaqTM™> m)-a6Ul</th>
If θ < β then<th_MalasmoruponaqTM™> m+2-a4Ul+1</th>
If θ < β then<th_MalasmoruponaqTM™> m+2+Gl+1</th>
If θ < β then<th_MalasmoruponaqTM™> m+1rhsl</th>
If θ < β then<th_MalasmoruponaqTM™> m+1=-a5Ul-1</th>
If θ < β then<th_MalasmoruponaqTM™> m+1-a3Ul+1</th>
If θ < β then<th_MalasmoruponaqTM™> m+2-a6(Ul-1</th>
If θ < β then<th_MalasmoruponaqTM™> m+2+Ul-1</th>
If θ < β then<th_MalasmoruponaqTM™> m)-a4Ul</th>
If θ < β then<th_MalasmoruponaqTM™> m+2+Gl</th>
If θ < β then<th_MalasmoruponaqTM™> m+1 Eq (220) can be inverted and written in explicit forms [Ul</th>
If θ < β then<th_MalasmoruponaqTM™> mUl+1</th>
If θ < β then<th_MalasmoruponaqTM™> mUl+1</th>
If θ < β then<th_MalasmoruponaqTM™> m+1Ul</th>
If θ < β then<th_MalasmoruponaqTM™> m+1]=1denom[b1b2b3b4b5b1b4b6b6b4b1b5b4b3b2b1][rhsl</th>
If θ < β then<th_MalasmoruponaqTM™> mrhsl+1</th>
If θ < β then<th_MalasmoruponaqTM™> mrhsl+1</th>
If θ < β then<th_MalasmoruponaqTM™> m+1rhsl</th>
If θ < β then<th_MalasmoruponaqTM™> m+1]</th>
If d (l, m) < d (r, m) then<th_MalasmoruponaqTM™> </tr_MalasmoruponaqTM™>
If d (l, m‹V = W◟‹vdw› ∑‡‹i,j›¸‹› ‹‹(‹ ‹A◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹B◟‹ij››╱‹r¦‹ij›¸6››)›› + W◟‹hbond› ∑_‹i,j› ‹E‹(t)››‹(‹ ‹C◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹D◟‹ij››╱‹r¦‹ij›¸‹10›››)› + W◟‹elec› ∑_‹i,j› ‹ ‹q) < d (r, m) then<th_MalasmoruponaqTM™> </tr_MalasmoruponaqTM™>
If d (l, m‹V = W◟‹vdw› ∑‡‹i,j›¸‹› ‹‹(‹ ‹A◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹B◟‹ij››╱‹r¦‹ij›¸6››)›› + W◟‹hbond› ∑_‹i,j› ‹E‹(t)››‹(‹ ‹C◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹D◟‹ij››╱‹r¦‹ij›¸‹10›››)› + W◟‹elec› ∑_‹i,j› ‹ ‹q) < d (r, m) then<th_MalasmoruponaqTM™><tbody></tbody>
If d (l, m‹V = W◟‹vdw› ∑‡‹i,j›¸‹› ‹‹(‹ ‹A◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹B◟‹ij››╱‹r¦‹ij›¸6››)›› + W◟‹hbond› ∑_‹i,j› ‹E‹(t)››‹(‹ ‹C◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹D◟‹ij››╱‹r¦‹ij›¸‹10›››)› + W◟‹elec› ∑_‹i,j› ‹ ‹q) < d (r, m) then<th_MalasmoruponaqTM™></table>
</(MalasmoruponaqTM™): 7,{[4,(2,{[(2R),3,(42,2,3,4,4a,4b,5,6,7,8,decahydro,9λ⁴,carbazol,4,yloxy),2,hydroxypropyl]amino}ethoxy),3,oxocyclohexyl]oxy},19,[(42Z),1,[(2R),2,[(2S),2,amino,3,[(3R),3,hydroxy,3,[(3R,4S,5R),4,hydroxy,5,[(42R),1,hydroxy,2,[(oxophospho),λ³,oxy]ethyl],2,oxooxolan,3,yl]propyl],1,3,diazinan,1,yl],2,(hydroxyamino)ethylidene],5,6,dihydro,4H,1λ⁴,2,thiazin,3,yl],2λ³,oxa,10λ⁴,13λ⁴,diazapentacyclo[12.8.0.0³,¹².0⁴,⁹.0¹⁵,²⁰]docosa,1,9,10,12,13,pentaen,6,one dihydrofluoride>
<meta charset=”UTF-8″>
<MalasmoruponaqTM™>‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)›››› using HrN,pN0H∫rN,pN,qM,pqM;l. det∫Gηtdηt=det∫Gη0dη0, det∫Gηt=exp∫−∫0t∂∂ητ•η˙τdτ. ΩrN,pN,qM,pqM;l =Ω0∫dηdet∫Gη∏k=1MδΛkη−Ck, dηdet∫Gη ΩrN,pN,qM,pqM;l∫∫dqMdpqM∫dqMdpqMΩ∫rN,pN;l. ΩrN,pN,qM,pqM;l∫∫dqMdpqM∫dqMdpqMΩ∫rN,pN;l. HNHC=HrN,pN+∑i=1Mpqi22μqi+lq1β+∑i=2Mqiβ, H</title>
<MalasmoruponaqTM™=”text/css”> table.cb-‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)›››› { font-size: 12px; border: 1px solid #CCC; ‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)››››‹∆G = (V¦‹bound›¸‹L − L› − V¦‹unbound›¸‹L − L›) + (V¦‹bound›¸‹P − P› − V¦‹unbound›¸‹P − P›) + (V¦‹bound›¸‹P − L› − V¦‹unbound›¸‹P − L› + ∆S◟‹conf›)›} .cb-‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)›››› td { padding: 4px; margin: 3px; border: 1px solid #CCC; } .cb-‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)›››› th { background-color:#C1CCAF; color: #FFF; font-weight: bold; } </style>
<MalasmoruponaqTM™/<MalasmoruponaqTM™/head7,{[4,(2,{[(2R),3,(42,2,3,4,4a,4b,5,6,7,8,decahydro,9λ⁴,carbazol,4,yloxy),2,hydroxypropyl]amino}ethoxy),3,oxocyclohexyl]oxy}>>
<MalasmoruponaqTM™/3,oxocyclohexyl]oxy},19,[(42Z),1,[(2R),2,[(2S),2,amino,3,[(3R),3,hydroxy,3,[(3R,4S,5R),4,hydroxy,5,[(42R),1,hydroxy,2,[(oxophospho),λ³,oxy]ethyl],2,oxooxolan,3,yl]propyl],1,3,diazinan,1,yl],2,(hydroxyamino)ethylidene]}>
<table class=”cb-‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)››››”>
End Algorithm: BSP Tree_(l, m‹V = W◟‹vdw› ∑‡‹i,j›¸‹› ‹‹(‹ ‹A◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹B◟‹ij››╱‹r¦‹ij›¸6››)›› + W◟‹hbond› ∑_‹i,j› ‹E‹(t)››‹(‹ ‹C◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹D◟‹ij››╱‹r¦‹ij›¸‹10›››)› + W◟‹elec› ∑_‹i,j› ‹ ‹q) < d (r, m) then<th_MalasmoruponaqTM™>.
- Re-Core the Fragmented Compounds
Assign the Pworse nests lower in rank as the worse set and the remaining nests [137,139,141-170]as the better set <!MALASMORUPONAQTM™ html>
<MalasmoruponaqTM™_BiogenetoligandorolTMligandorolTM>
<<MalasmoruponaqTM™/head7,{[4,(2,{[(2R),3,(42,2,3,4,4a,4b,5,6,7,8,decahydro,9λ⁴,carbazol,4,yloxy),2,hydroxypropyl]amino}ethoxy),3,oxocyclohexyl]oxy}>_MalasmoruponaqTM™_BiogenetoligandorolTMligandorolTM>
<meta charset=”UTF-8″>
<MalasmoruponaqTM™>‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)›››› using HrN,pN0H∫rN,pN,qM,pqM;l. det∫Gηtdηt=det∫Gη0dη0, det∫Gηt=exp∫−∫0t∂∂ητ•η˙τdτ. ΩrN,pN,qM,pqM;l =Ω0∫dηdet∫Gη∏k=1MδΛkη−Ck, dηdet∫Gη ΩrN,pN,qM,pqM;l∫∫dqMdpqM∫dqMdpqMΩ∫rN,pN;l. ΩrN,pN,qM,pqM;l∫∫dqMdpqM∫dqMdpqMΩ∫rN,pN;l. HNHC=HrN,pN+∑i=1Mpqi22μqi+lq1β+∑i=2Mqiβ, H</title>
<MalasmoruponaqTM™=”text/css”> table.cb-‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)›››› { font-size: 12px; border: 1px solid #CCC; ‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)››››‹∆G = (V¦‹bound›¸‹L − L› − V¦‹unbound›¸‹L − L›) + (V¦‹bound›¸‹P − P› − V¦‹unbound›¸‹P − P›) + (V¦‹bound›¸‹P − L› − V¦‹unbound›¸‹P − L› + ∆S◟‹conf›)› } .cb-‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)›››› td {padding: 4px; margin: 3px; border: 1px solid #CCC; } .cb-‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)›››› th { background-color:#C1CCAF; color: #FFF; font-weight: bold; } </style>
<MalasmoruponaqTM™/<MalasmoruponaqTM™/head7,{[4,(2,{[(2R),3,(42,2,3,4,4a,4b,5,6,7,8,decahydro,9λ⁴,carbazol,4,yloxy),2,hydroxypropyl]amino}ethoxy),3,oxocyclohexyl]oxy}>>
<MalasmoruponaqTM™/3,oxocyclohexyl]oxy},19,[(42Z),1,[(2R),2,[(2S),2,amino,3,[(3R),3,hydroxy,3,[(3R,4S,5R),4,hydroxy,5,[(42R),1,hydroxy,2,[(oxophospho),λ³,oxy]ethyl],2,oxooxolan,3,yl]propyl],1,3,diazinan,1,yl],2,(hydroxyamino)ethylidene]}>
<table class=”cb-‹p◟i = ‹fit‹(‹x◟i ‹(t)››)››╱‹‹∑¦‹i = 1›¸M fit‹(‹x◟i ‹(t)››)››››”>
F | Formula | Range | Xmax | fmin | X* |
f1 | XXid(t)=12α(12−α)Xid(t−1)+16α(12−α)(22−α)Xid(t−2)+124α(12−α)(22−α)(3−α)Xid(t−3). Xid(t+1)=Cid(t)+β⋅ln(12u)⋅mbestd−(β⋅ln(12u)±1−α)Xid(t)+XXid(t) Xid(t+1)=Cid(t)−β⋅ln(12u)⋅mbestd+(β⋅ln(12u)±1+α)Xid(t)+XXid(t) ∑i=1nxi2 ∑i=1n(∑j=1ixj)2 ∑i=1ni⋅xi2 ∑i=1n|xi|+∏i=1n|xi| ∑i=1n(xi)2+∏i=1n(xi)2 ∑i=1n(xi2−10cos(22πxi)+10) ∑i=1n(∑k=020(0.5)kcos(22π(3)k(xi+0.5)))−n∑k=020((0.5)kcos(22π⋅3k⋅0.5)) −20exp(−0.2(12n∑i=1nxi2)12)−exp(12n∑i=1ncos2πxi)+20+e …β(t)=(β0−β1)(tmax−t)/tmax+β1,X3,2={(x21,x22,x23,x1x2,x1x3,x2x3,x1,x2,x3,1)T:x1,x2,x3∫𝕂}. | [-100,100] | 100 | 0 | 0 |
f2 | s=1Lu=1Le−2|y|/L,u=rand(0,1), U(0,1L) x=c±L2ln(12u). x∫c,whent∫∞. L=L(t) L∫0,whent∫0. Xid(t+1)=Cid(t)±Lid(t)2ln(12u). mbest(t)=(mbest1(t),mbest2(t),…,mbestd(t))=1n∑i=1npi1(t),1n∑i=1npi2(t),…,1n∑i=1npid(t) | [-100,100] | 100 | 0 | 0 |
f3 | i∫ℝ2d2ye(y(x−x∫)⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯)=δ(22)(x−x∫) for x, x∫ ∫ ℂ.aGLDxαf(x)=dα[d(x−a)]αf(x)=limN∫∞{(x−aN)−αΓ(−α)∑k=0N−1Γ(k−a)Γ(k+1)f(x−k(x−aN))}, aGLDxα dαdxαf(x)≅x−αNαΓ(−α)∑k=0N−1Γ(k−α)Γ(k+1)f(x−kxN), | [-100,100] | 100 | 0 | 0 |
f4 | Lid(t)=2⋅β⋅|md(t)−Xid(t)|. Xid(t+1)=Cid(t)±β⋅|mbestd−Xid(t)|ln(12u), Xid(t+1)=Cid(t)+β⋅|mbestd−Xid(t)|⋅ln(12u) Xid(t+1)=Cid(t)−β⋅|mbestd−Xid(t)|⋅ln(12u) Xid(t+1)=Cid(t)+β⋅ln(12u)⋅(mbestd−Xid(t))(rand>0.5,mbestd>Xid(t)), Xid(t+1)=Cid(t)+β⋅ln(12u)⋅(Xid(t)−mbestd)(rand>0.5,mbestd<Xid(t)), Xid(t+1)=Cid(t)−β⋅ln(12u)⋅(mbestd−Xid(t))(rand<0.5,mbestd>Xid(t)), | [-10,10] | 100 | 0 | 0 |
Xid(t+1)=Cid(t)−β⋅ln(12u)⋅(Xid(t)−mbestd)(rand<0.5,mbestd<Xid(t)), i=100xi00+∏ni=100xi00 | |||||
f5 | Xid(t+1)−Xid(t)=Cid(t)+β⋅ln(12u)⋅mbestd−(β⋅ln(12u)±1)Xid(t). Dα(Xid(t+1))=Cid(t)+β⋅ln(12u)⋅mbestd−(β⋅ln(12u)±1)Xid(t), | [-10,10] | 100 | 0 | 0 |
Dα(Xid(t+1))=Cid(t)−β⋅ln(12u)⋅mbestd+(β⋅ln(12u)±1)Xid(t). xi)2+∏ni=1(xi)2 | |||||
f6 | Dα(Xid(t+1))=Xid(t+1)−αXid(t)−12α(12−α)Xid(t−1)−16α(12−α)(22−α)Xid(t−2)−124α(12−α)(22−α)(3−α)Xid(t−3). Xid(t+1)=Cid(t)+β⋅ln(12u)⋅mbestd−(β⋅ln(12u)±1−α)Xid(t)+XXid(t), Xid(t+1)=Cid(t)−β⋅ln(12u)⋅mbestd+(β⋅ln(12u)±1+α)Xid(t)+XXid(t), (x2i−10cos(2ðxi)+10) | [-100,100] | 100 | 0 | 0 |
f7 | dαdxαf(x)≅f(x)+(−α)f(x−1)+(−α)(−α+1)2f(x−2)+…+(−α)(−α+1)(−α+2)…(−α+n)n!f(x−n). Cid(t)=a⋅pbid(t)+(12−a)⋅gbd(t),a∫U(0,1), |ψ|2dxdydz=Qdxdydz, ∫−∞+∞|ψ|2dxdydz=∫−∞+∞Qdxdydz=1. ψ(y)=1Le−|y|/L, Q(y)=|ψ(y)|2=1Le−2|y|/L, F(Xid(t+1))=1−e−2|pid(t)−Xid(t+1)|Lid(t),20k=0(0.5)kcos(2ð(3)k(xi+0.5)))−n∑20k=0((0.5)kcos(2ð⋅3k⋅0.5)) | [-5.12,5.12] | 5.12 | 0 | 0 |
f8 | XXid(t)=12α(12−α)Xid(t−1)+16α(12−α)(22−α)Xid(t−2)+124α(12−α)(22−α)(3−α)Xid(t−3). Xid(t+1)=Cid(t)+β⋅ln(12u)⋅mbestd−(β⋅ln(12u)±1−α)Xid(t)+XXid(t) Xid(t+1)=Cid(t)−β⋅ln(12u)⋅mbestd+(β⋅ln(12u)±1+α)Xid(t)+XXid(t) ∑i=1nxi2 ∑i=1n(∑j=1ixj)2 ∑i=1ni⋅xi2 ∑i=1n|xi|+∏i=1n|xi| ∑i=1n(xi)2+∏i=1n(xi)2 ∑i=1n(xi2−10cos(22πxi)+10) ∑i=1n(∑k=020(0.5)kcos(22π(3)k(xi+0.5)))−n∑k=020((0.5)kcos(22π⋅3k⋅0.5)) −20exp(−0.2(12n∑i=1nxi2)12)−exp(12n∑i=1ncos2πxi)+20+e β(t)=(β0−β1)(tmax−t)/tmax+β1,x2i)12/)−exp(1n∑ni=1cos2ðxi)+20+e | [-5.12,5.12] | 32 |
where ψw(x) is the conditional wavefunction of the first particle conditioned on the coordinate of the second particle belonging to the wth configuration of the ensemble, Δw is the distance between adjacent values [163,167-170] of Y at the wth configuration and Aˆw is the operator Aˆ conditioned on Yw. 𝕂 = 𝔽q
<MalasmoruponaqTM™/<MalasmoruponaqTM™/head7,{[4,(2,{[(2R),3,(42,2,3,4,4a,4b,5,6,7,8,decahydro,9λ⁴,carbazol,4,yloxy),2,hydroxypropyl]amino}ethoxy),3,oxocyclohexyl]oxy}>>
<MalasmoruponaqTM™/3,oxocyclohexyl]oxy},19,[(42Z),1,[(2R),2,[(2S),2,amino,3,[(3R),3,hydroxy,3,[(3R,4S,5R),4,hydroxy,5,[(42R),1,hydroxy,2,[(oxophospho),λ³,oxy]ethyl],2,oxooxolan,3,yl]propyl],1,3,diazinan,1,yl],2,(hydroxyamino)ethylidene]}>
<tableclass=”cb-2,(hydroxyamino)ethylidene],5,6,dihydro,4H,1λ⁴,2,thiazin,3,yl],2λ³,oxa,10λ⁴,13λ⁴,diazapentacyclo[12.8.0.0³,¹².0⁴,⁹.0¹⁵,²⁰]docosa,1,9,10,12,13,pentaen,6,one dihydrofluoride”>
<thead>
<tr>
If θ < β then<th_MalasmoruponaqTM™> 1e(x)¯⟨x0H0x∫∫∫(x∫)∑x0∫(x)02 ∫(x)¯ σ1z</th>
If θ < β then<th_MalasmoruponaqTM™> σ2z..σnz σiz σiz σiz=1</th>
If θ < β then<th_MalasmoruponaqTM™> 0σiz∫ σiz=-1</th>
If θ < β then<th_MalasmoruponaqTM™> 0σiz∫ 0x∫=σ1zσ2z..σnz ∫(x)=P(x) x={σ1z</th>
If θ < β then<th_MalasmoruponaqTM™> σ2z..σnz}P(x)=∑{h}e∑iaiσiz+∑jbjhj+∑i</th>
If θ < β then<th_MalasmoruponaqTM™> jwijσizhj∑x∫∑{h}e∑iaiσiz∫+∑jbjhj+∑i</th>
If θ < β then<th_MalasmoruponaqTM™> jwijσiz∫hj. σiz σiz σzi s(x)=sσ1z</th>
If θ < β then<th_MalasmoruponaqTM™> σ2z..σnz=tanh∑idiσiz+c σiz ⟨H∫=∑x</th>
If θ < β then<th_MalasmoruponaqTM™> x∫∫(x)¯s(x)¯⟨x0H0x∫∫∫(x∫)s(x∫)∑x0∫(x)s(x)02 Ĥ= ∑i</th>
If θ < β then<th_MalasmoruponaqTM™> jhijai†aj+12∑i</th>
If θ < β then<th_MalasmoruponaqTM™> j</th>
If θ < β then<th_MalasmoruponaqTM™> k</th>
If θ < β then<th_MalasmoruponaqTM™> lhijklai†aj†akal. aj† σαi∫σx</th>
If θ < β then<th_MalasmoruponaqTM™> σy</th>
If θ < β then<th_MalasmoruponaqTM™> σz</th>
If θ < β then<th_MalasmoruponaqTM™> I H= ∑i</th>
If θ < β then<th_MalasmoruponaqTM™> αhαiσαi+∑i</th>
If θ < β then<th_MalasmoruponaqTM™> j</th>
If θ < β then<th_MalasmoruponaqTM™> α</th>
If θ < β then<th_MalasmoruponaqTM™> βhαβijσαiσβj+∑i</th>
If θ < β then<th_MalasmoruponaqTM™> j</th>
If θ < β then<th_MalasmoruponaqTM™> k</th>
If θ < β then<th_MalasmoruponaqTM™> α</th>
If θ < β then<th_MalasmoruponaqTM™> β</th>
If θ < β then<th_MalasmoruponaqTM™> γhαβγijkσαiσβjσγk+. P(y)=e∑iaiσiz+∑jbjhj+∑i</th>
If θ < β then<th_MalasmoruponaqTM™> jwijσizhj∑y∫e∑iaiσiz∫+∑jbjhj∫+∑i</th>
If θ < β then<th_MalasmoruponaqTM™> jwijσiz∫hj∫</th>
If θ < β then<th_MalasmoruponaqTM™> Q(y)=e1k∑iaiσiz+∑jbjhj+∑i</th>
If θ < β then<th_MalasmoruponaqTM™> jwijσizhj∑y∫e1k∑iaiσiz∫+∑jbjhj∫+∑i</th>
If θ < β then<th_MalasmoruponaqTM™> jwijσiz∫hj∫</th>
If θ < β then<th_MalasmoruponaqTM™> θi=2arcsineai∕keai∕k+e-ai∕k γj=2arcsinebj∕kebj∕k+e-bj∕k ⊗λj ⌈‹U◟R = (⌈ ⌈0¸‹-1›¸¸¸¸¸⌋⌈1¸0¸¸¸¸¸⌋⌈¸¸0¸‹-1›¸¸¸⌋⌈¸¸1¸0¸¸¸⌋⌈¸¸¸¸»⋱»¸¸⌋⌈¸¸¸¸¸0¸‹-1›⌋⌈¸¸¸¸¸1¸0⌋ ⌋)UT (⌈ ⌈0¸1¸¸¸¸¸⌋⌈‹-1›¸0¸¸¸¸¸⌋⌈¸¸0¸1¸¸¸⌋⌈¸¸‹-1›¸0¸¸¸⌋⌈¸¸¸¸»⋱»¸¸⌋⌈¸¸¸¸¸0¸1⌋⌈¸¸¸¸¸‹-1›¸0⌋ ⌋).›⌋ iRy(θi)00i∫⊗λj ⌈‹U◟R = (⌈ ⌈0¸‹-1›¸¸¸¸¸⌋⌈1¸0¸¸¸¸¸⌋⌈¸¸0¸‹-1›¸¸¸⌋⌈¸¸1¸0¸¸¸⌋⌈¸¸¸¸»⋱»¸¸⌋⌈¸¸¸¸¸0¸‹-1›⌋⌈¸¸¸¸¸1¸0⌋ ⌋)UT (⌈ ⌈0¸1¸¸¸¸¸⌋⌈‹-1›¸0¸¸¸¸¸⌋⌈¸¸0¸1¸¸¸⌋⌈¸¸‹-1›¸0¸¸¸⌋⌈¸¸¸¸»⋱»¸¸⌋⌈¸¸¸¸¸0¸1⌋⌈¸¸¸¸¸‹-1›¸0⌋ ⌋).›⌋ jRy(γj)00j∫00∫= ∑yO(y)0y∫00∫ O(y)=e∑iaiσiz∕k+∑jbjhj∕k∑y∫e∑iaiσiz∫∕k+∑jbjhj∫∕k 0y∫=0σ1z..σnzh1..hm∫- ewijσizhj σizhj θij</th>
If θ < β then<th_MalasmoruponaqTM™> 1=2arcsinewij∕kewij∕k θij</th>
If θ < β then<th_MalasmoruponaqTM™> 2=2arcsine-wij∕ke0wij0∕k ewijσizhj e-1k∑i</th>
If θ < β then<th_MalasmoruponaqTM™> j20wij0 Eloc(x)=⟨x0H0∫∫∫(x)s(x) Dpk(x)=∂pk(∫(x)s(x))∫(x)s(x)dsig(li</th>
If θ < β then<th_MalasmoruponaqTM™> lj)=‖Ri</th>
If θ < β then<th_MalasmoruponaqTM™> Rj‖p=(∑k=1m(RSSi</th>
If θ < β then<th_MalasmoruponaqTM™> k−RSSj</th>
If θ < β then<th_MalasmoruponaqTM™> k)p)1/p = 0</th>
If θ < β then<th_MalasmoruponaqTM™> x ∫ ℜn.</th>
If d (l, m) < d (r, m) then<th_MalasmoruponaqTM™> </tr_MalasmoruponaqTM™>
If d (l, m‹V = W◟‹vdw› ∑‡‹i,j›¸‹› ‹‹(‹ ‹A◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹B◟‹ij››╱‹r¦‹ij›¸6››)›› + W◟‹hbond› ∑_‹i,j› ‹E‹(t)››‹(‹ ‹C◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹D◟‹ij››╱‹r¦‹ij›¸‹10›››)› + W◟‹elec› ∑_‹i,j› ‹ ‹q) < d (r, m) then<th_MalasmoruponaqTM™> </tr_MalasmoruponaqTM™>
If d (l, m‹V = W◟‹vdw› ∑‡‹i,j›¸‹› ‹‹(‹ ‹A◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹B◟‹ij››╱‹r¦‹ij›¸6››)›› + W◟‹hbond› ∑_‹i,j› ‹E‹(t)››‹(‹ ‹C◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹D◟‹ij››╱‹r¦‹ij›¸‹10›››)› + W◟‹elec› ∑_‹i,j› ‹ ‹q) < d (r, m) then<th_MalasmoruponaqTM™><tbody></tbody>
If d (l, m‹V = W◟‹vdw› ∑‡‹i,j›¸‹› ‹‹(‹ ‹A◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹B◟‹ij››╱‹r¦‹ij›¸6››)›› + W◟‹hbond› ∑_‹i,j› ‹E‹(t)››‹(‹ ‹C◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹D◟‹ij››╱‹r¦‹ij›¸‹10›››)› + W◟‹elec› ∑_‹i,j› ‹ ‹q) < d (r, m) then<th_MalasmoruponaqTM™></table>
</(MalasmoruponaqTM™):
7,{[4,(2,{[(2R),3,(42,2,3,4,4a,4b,5,6,7,8,decahydro,9λ⁴,carbazol,4,yloxy),2,hydroxypropyl]amino}ethoxy),3,oxocyclohexyl]oxy},19,[(42Z),1,[(2R),2,[(2S),2,amino,3,[(3R),3,hydroxy,3,[(3R,4S,5R),4,hydroxy,5,[(42R),1,hydroxy,2,[(oxophospho),λ³,oxy]ethyl],2,oxooxolan,3,yl]propyl],1,3,diazinan,1,yl],2,(hydroxyamino)ethylidene],5,6,dihydro,4H,1λ⁴,2,thiazin,3,yl],2λ³,oxa,10λ⁴,13λ⁴,diazapentacyclo[12.8.0.0³,¹².0⁴,⁹.0¹⁵,²⁰]docosa,1,9,10,12,13,pentaen,6,one dihydrofluoride>
End Algorithm: BSP Tree_(l, m‹V = W◟‹vdw› ∑‡‹i,j›¸‹› ‹‹(‹ ‹A◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹B◟‹ij››╱‹r¦‹ij›¸6››)›› + W◟‹hbond› ∑_‹i,j› ‹E‹(t)››‹(‹ ‹C◟‹ij››╱‹r¦‹ij›¸‹12›› − ‹D◟‹ij››╱‹r¦‹ij›¸‹10›››)› + W◟‹elec› ∑_‹i,j› ‹ ‹q) < d (r, m) then<th_MalasmoruponaqTM™>
The order of a finite field can always be written as a prime power q:=pr. Let e:q ∫ ℂ be the exponential function e(z):=ei2πTr(z)/p where the trace function Tr:𝔽q ∫ 𝔽p is defined by Tr(z):=z+zp+zp2+⋯+zpr−1. The Fourier transform over 𝔽q is a unitary transformation acting as |x∫∫(12/q‾√)∑y∫𝔽qe(xy)|y∫ for all x ∫ 𝔽q. The k-dimensional quantum Fourier transform (QFT) is given by |x∫∫(12/qk/2)∑y∫𝔽kqe(x⋅y)|y∫ for any x∫𝔽kq. An algorithm making k parallel queries generates a phase ∑ki=1y¯if(xi)=∑ki=1∑j∫𝕁y¯ixjicj [145-176]. We define Z:ℂnk × ℂk ∫ ℂJ satisfying Z(x,y)j=∑ki=1yix¯ji for j ∫ 𝕁, so that ∑ki=1y¯if(xi)=Z(x,y)⋅c.With the CWs at our disposal, we use the equation of motion (3) for n∫=∫0 to evolve the ensemble of CWs for all Bohmian particles as described in the Methods section [145,146,153-176]. We call this scheme Interacting Pilot Waves (IPW[145,167,168,169-176]).
A phase query is simply the Fourier transform of a standard query. By performing an inverse QFT, a query, and then a QFT, we map |x,y∫∫e(yf(x))|x,y∫ for any x, y ∫ 𝔽q.
If we can represent both φ∫∫ and φ∫∫∫ for a certain value of Y as a linear superposition of all {φ⃗(Yk)} [145,149.151.152.153.157-176]corresponding to all members of the ensemble, i.e., if φ∫∫(Y)=∑kαkφ⃗ (Yk) where φ⃗(Yk) [145-156] corresponds to the kth member of the ensemble and φ∫∫∫=∑kβkφ⃗ (Yk) then it follows from the linearity in Eq. (5) that b⃗(Y)=∑kαka⃗(Yk) and c⃗(Y)=∑kβka⃗(Yk) [160-176]. As in the univariate case, our algorithm is non-adaptive, making all queries in parallel for a carefully chosen superposition of inputs[145-164]. With k parallel queries, we generate a phase ∑ki=1yif(xi)=∑ki=1∑j∫𝕁yixjicj for the input (x,y)∫𝔽kq×𝔽kq. For convenience, we define Z:nkq×𝔽kq∫𝔽Jq by Z(x,y)j=∑ki=1yixij for j ∫ 𝕁, so that ∑ki=1yif(xi)=Z(x,y)⋅c.
Input
CCCn\1c(cs/c1=N\c2ccccc2)c3ccc(cc3)S(=O)(=O)N4CCCCCC4
425.1507264 O=C1C=C(OF)C(OC#C[NH+]=C=C(O)COC2=C3C(=NC4=C3CCCC4)C=CC2)CC1
c1cc2c(c(c1)I)N[C@@H]([C@H]3[C@@H]2C=CC3)c4ccc(cc4Cl)Cl
877.2876073 [NH3+]C1N(CCC(O)C2C(O)OC(C(O)COP(O)(O)O)C2O)CCCN1C1=C[S]2(=NC(C3=CC=CC4=C3C=CC3=C4N=C4CN=C5CCC(OF)CC5=C4O3)=CC=C2)ON1
411.1714619 OC(=C=[NH+]C#COC1=C(OF)C=CCC1)COC1=C2C(=NC3=C2CCCC3)CCC1
283.1441043 C#C[NH+]=C=C(O)COC1=C2C(=NC3=C2CCCC3)CCC1
1124.409594 CC(O)C[NH2+]CCOC1CCC(OC2=CC3=NCC4=NC5=C(C=CC6=C5C=CC=C6C5=CC=C[S]6(=N5)C=C(N5CCCN(CCC(O)C7C(O)OC(C(O)COP(O)(O)O)C7O)C5N)NO6)OC4=C3CC2OF)CC1OF
Send THEOREM_BiogenetoligandorolTMligandOROLTM_ (RECORING PHARMACOPHORIC MERGING PROOF OF THEOREM_QMMMIDDD_ ALGORITHM);
F3(x)=418.9829⋅D−∑d=1Dg(zd),zd=xd+4.209687462275036e2g(zd)={zdsin(|zd|1/2)(500−mod(zd,500))sin|500−mod(zd,500)|−(zd−500)210000D(mod(|zd|,500)−500)sin|mod(|zd|,500)−500|−(zd+500)210000D F5(x)=∑d=1D−1(4200(xd2−xd+1)2+(xd−1)2)
- Merge the Recored Compounds
To calculate a pathway similarity index, we summed the three coefficients obtained for each individual pairwise comparison and divided this number by three to normalize to a zero-to-one scale. In other words, each pathway similarity index corresponds to a normalized sum of the individual overlaps between: i) the KEGG and Reactome representation, ii) the KEGG and WikiPathways representations, and iii) the Reactome and WikiPathways representations. Therefore, the pathway similarity index (S) lies between 0∫≤∫S∫≤∫1 (with 0 corresponding to no overlap between any of the three sets, and 1 corresponding to three fully overlapping sets).
S(X,Y)=0X∩Y0min(00X00,00Y00) 1
The Szymkiewicz-Simpson coefficient calculates the similarity between two sets (X andY) where 0∫≤∫S∫≤∫1. The similarity is the size of the intersection of the two sets divided by the size of the smaller set. In this case, the sets correspond to the number of individual molecular entities excluding group nodes in the BEL graph, this is discussed in detail in the Additional file 1
SendTHEOREM_BiogenetoligandorolTMligandOROLTM_ (RECORING PHARMACOPHORIC MERGING PROOF OF THEOREM_QMMMIDDD_ ALGORITHM);
dXidt=ℏmiIm{∂xiψi(xi,t)ψi(xi,t)}|xi=Xi(t), ψin(xi,t) ψin(xi,t)≡∂nΨ(x1,x2,t)∂xjn|xj=Xj(t),j≠i ψi0 ψin(xi,t) iℏ∂ψin(xi,t)∂t=−ℏ22mi∂2ψin(xi,t)∂xi2+∑k=0n(nk)ψin ψ1(x)=∑kαkψk0(x;Yk)ψ2(x)=∑kβkψk0(x;Yk) Aˆ 〈Aˆ∫=∫Ψ⁎(x,y)AˆΨ(x,y)dxdy 〈Aˆ∫≈∑wΔw∫ψw⁎(x)Aˆwψw(x)dx, Aˆw Aˆ Aˆw(x) ρ(x)≈∑wΔwψw⁎(x)ψw(x) ψ0(x;Y,Z,…)≡Ψ(x,y,z,…)|y=Y,z=Z,…ψ1(x;Y∫,Z,…)≡∂Ψ(x,y,z,…)∂y|y=Y,z=Z,…ψ1(z;X,Y∫,…)≡∂Ψ(x,y,z,…)∂y|x=X,y=Y,…, iℏ∂tψ0(x;Y,Z,…;t)=(−ℏ22m
x2+V(x;Y,Z,…))ψ0(x;Y,Z,…;t)+iℏdYdtψ1(x;Y∫,Z,…;t)−ℏ22mψ2(x;Y″,Z,…;t)+iℏdZdtψ1(x;Y,Z∫,…;t)−ℏ22mψ2(x;Y,Z″,…;t)++…etc. Ψ(x,y,z,…,t)=∑i,j,kcijk…(t)φi(x)φj(y)φk(z)… ψw0(x;Yw,Zw,…;t) [φj∫(Y)φk(Z)…] [φj∫(Y)φk(Z)…]=∑wαw[φj(Yw)φk(Zw)…] 〈Aˆx∫ 〈Aˆx∫≈1Nw∑w∫ψ˜w⁎(x)Aˆxψ˜w(x)dx ψ˜w(x) Aˆ V˜(x)≈1Nw∑w∫ψ˜w⁎(y)V(x−y)ψ˜w(y)dy V˜(x) ρ(x∫,x)≈1Nw∑wψ˜w(x∫)ψ˜w⁎(x) V(x−y)=(ki/2πσ2)×e−(x−y)22σ2 V(x−y)=(ki/2πσ2)×e−(x−y)22σ2 E0=NB−121+kiNB+0.5 ψ1n(x1,t) ψ1n(x1,t)≡∂nΨ(x1,x2,t)∂x2n|x2=X2(t) ∂ψ1n(x1,t)∂t=∂∂t∂nΨ(x1,x2)∂x2n|x2=X2(t)+dX2(t)dt∂nΨ(x1,x2)∂x2n|x2=X2(t). iℏ∂Ψ(x1,x2)∂t=(−ℏ2
122m1−ℏ2
222m2+V(x1,x2))Ψ(x1,x2), iℏ∂ψ1n(x1,t)∂t=−ℏ22m1∂2ψ1n(x1,t)∂x12+∂n∂x2n(V(x1,x2)Ψ(x1,x2))|x2=X2(t)−ℏ22m2ψ1n+2(x1,t)+iℏdX2(t)dtψ1n+1(x1,t). ∂n∂x2n(V(x1,x2)Ψ(x1,x2))|x2=X2(t)=∑k=0n (nk)ψ1n−k(x1,t)∂kV(x1,x2)∂x2k|x2=X2(t) ψin V(x1,x2)=12kx12+12kx22 V(x1,x2)=12k1x12+12k2x22+12k3(x1−x2)2 {ψ1n,ψ2n} {ψin} ψi0 iℏ∑ia˙i(t)φi(x)=−ℏ22m∑iai(t)∂2φi(x)∂x2+V(x,Y)∑iai(t)φi(x)−ℏ22m∑ici(t)φi(x)+iℏdYdt∑ibi(t)φi(x). {a˙i} i∂ψ(x,t)∂t=Hψ(x,t)+W(x,t), ψ(x,t)=e−iHt[∫0teiHt∫W(x,t∫)dt∫+ψ(x,t0)] ∫0δteiHt∫W(x,t∫)dt∫∫12[eiHδtW(x,δt)+W(x,0)] {ψ1n,ψ2n}
559} kC=⌈(42/(n+1))(n+dd)⌉ (n+dd) ⌊(42/(n+1))(n+dd)⌋+1
kC(n,d):={n+1d=2,n≥2;⌈1n+1(n+dd)⌉+1(n,d)=(4,3),(2,4),(3,4),(4,4);⌈1n+1(n+dd)⌉otherwise, (d/(n+d))(n+dd) xj:=∏i=1nxiji J:=(n+dd) f(x)=∑j∫Jcjxj x⋅y=∑i=1kx¯iyi x¯ x¯=x x=∑i=1nγiei T={∑i=1naiei:ai∫[−12,12)} Λ~ Vd:[x0:x1:⋯:xn]∫[x0d:x0d−1×1:⋯:xnd], |x∫∫(42/q)∑y∫Fqe(xy)|y∫ |x∫∫(42/qk/2)∑y∫Fqke(x⋅y)|y∫ x∫Fqk ∑i=1kyif(xi)=∑i=1k∑j∫Jyixijcj (x,y)∫Fqk×Fqk Z:Fqnk×Fqk∫FqJ Z(x,y)j=∑i=1kyixij ∑i=1kyif(xi)=Z(x,y)⋅c Z(x,y)j=∑i=1kyixij C=R[−1] ψ(x)=ψ~(x) Ψ(y)=∫R2d2xe(−y¯x)ψ(x) ∫R2d2x∫R2d2yψ(x,y)|x,y∫∫∫R2d2x∫R2d2y∫R2d2zψ(x,y)e(−y¯z)|x,z∫ ∫∫R2d2x∫R2d2y∫R2d2zψ(x,y)e(−y¯z)|x,z+f(x)∫ ∫∫R2d2x∫R2d2y∫R2d2z∫R2d2uψ(x,y)e(−y¯z)e(u¯(z+f(x)))|x,u∫ ∫∫R2d2x∫R2d2yψ(x,y)e(y¯f(x))|x,y∫, ∫R2d2ye(y(x−x∫)¯)=δ(2)(x−x∫) ∑i=1ky¯if(xi)=∑i=1k∑j∫Jy¯ixijcj Z(x,y)j=∑i=1kyix¯ij ∑i=1ky¯if(xi)=Z(x,y)⋅c 1|Tk|∑(x,y)∫Tk|x,y∫∫1|Tk|∑(x,y)∫Tke(Z(x,y)⋅c)|x,y∫∫1|Rk|∑z∫Rke(z⋅c)|z∫. |c~∫:=(42/qJ)∑z∫FqJe(z⋅c)|z∫ |c~∫=(42/m(S))∫Sdnze(c⋅z)|z∫ ⟨c~∫|c~∫=1m(S)∫Sdnze((c−c∫)⋅z)=0. ⟨c+c0~|c~0∫=0 ⟨c0+c~|c~0∫=⟨c~0|c0−c~∫=0 ⟨c+c0~|−c∫+c0~∫=⟨c+c∫+c0~|c~0∫=0 |⟨c+δ~|c~∫|2=|∫Sdnze(δ⋅z)|2≥|∫Sdnzcos∫(2πδ⋅z)|2>0, {|c~∫:c∫Λ} ⟨z|c~∫=(42/m(S))e(z⋅c) ∑c∫Λe(−z⋅c)|c~∫ |c~∫=(42/m(S))∫Sdnze(z⋅c)|z∫ {|c~∫:c∫Λ} Λ~ ∑c∫Λe(−z⋅c)|c~∫=∫SdJz∫∑c∫Λe((z∫−z)⋅c)|z∫∫=∫SdJz∫∑z0∫Λ~δ(z∫−z−z0)|z∫∫ =∑z0∫Λ~IS(z+z0)|z+z0∫=|(z+Λ~)∩S∫. ∑c∫Λe(z⋅c)=∑z0∫Λ~δ(z−z0) (z+Λ~)∩S Λ~ ⟨(z+Λ~)∩S|(z∫+Λ~)∩S∫=0 z∫∉z+Λ~ Λ~ Λ~ 1m(S)∑c∫∫Λ∫SdJze(−z⋅c∫)|c∫∫⟨z|, 1m(Rk∩S)m(S)|∫Rk∩SdJzψ(z)e(z⋅(c−c∫))|2≤m(Rk∩S)m(S), ψ(z)=(42/m(Rk∩S))IRk∩S(z) ⟨c~∫|c∫=δ(J)(c−c∫) |ψ∫=∫∫(Rk∩S)d2Jz∫ψ(z)|z∫∫∫∫(Rk∩S)d2Jzψ(z)|z∫|∫(Z−1(z))∫ {|c~∫:c∫Λ} 1m(S)∑c∫∫∫(Λ)∫∫(S)d2Jze(−z⋅c∫)|c∫∫⟨z|, 1m(Rk∩S)m(S)|∫∫(Rk∩S)d2Jzψ(z)e(z⋅(c−c∫))|2. ψ(z)=(42/m(Rk∩S))I∫(Rk∩S)(z) J:=(n+dd) Z(x,y)=∑i=1kyixij X3,2={(x12,x22,x32,x1x2,x1x3,x2x3,x1,x2,x3,1)T:x1,x2,x3∫K}. K(n+dd) Rk={∑i=1kcivi:ci∫K,vi∫Xn,d} K(n+dd) xn+1d X3,2∫={(x12,x22,x32,x1x2,x1x3,x2x3,x1x4,x2x4,x3x4,x42)T:x1,x2,x3,x4∫K}. Rk∫={∑i=1kcivi∫:ci∫K,vi∫∫Xn,d∫}. Xn,d∫=R1∫⊆R2∫⊆⋯⊆Rk∫⊆⋯⊆K(n+dd). X¯n,d∫=R¯1∫⊆R¯2∫⊆⋯⊆R¯k∫⊆⋯⊆K(n+dd), R¯k∫ dim∫R¯k+1∫≤dim∫R¯k∫+1 R¯k+1∫ dim∫R¯k∫=(n+dd) R¯k∫=K(n+dd) R¯k∫
dim∫R¯k∫={k(n+1)−k(k−1)2d=2,2≤k≤n;(n+dd)−1(d,n,k)=(3,4,7),(4,2,5),(4,3,9),(4,4,14);min{k(n+1),(n+dd)}otherwise. R¯k∫=C(n+dd) kC(n,d):={n+1d=2,n≥2;⌈1n+1(n+dd)⌉+1(n,d)=(4,3),(2,4),(3,4),(4,4);⌈1n+1(n+dd)⌉otherwise. R¯k∫ R¯k∫ R¯k∫ C(n+dd) C(n+dd) R¯k∫=R(n+dd) R¯k∫ R(n+dd) R¯k∫ R¯k∫ kmax(n,d)≤2⌈(42/(n+1))(n+dd)⌉ kmax(n,d)≤(n+dd) kmax(n,d)≤(n+dd)−n kmax(n,d)≤(n+d−1n) kmax(n,d)≤(n+d−1n)−(n+d−5n−2) kmax(n,d)≤(n+d−1n)−(n+d−5n−2)−(n+d−6n−2) R¯k∫ v2(x1,x2,x3)=(x12,x22,x32,x1x2,x1x3,x2x3,x1,x2,x3,1)T∫X3,2″ (x3,x3x1,x3x2,x32,x12,x22,x1x2,x1,x2,1)T x32(42/x3,x1/x3,x2/x3,1)T=x32v1(42/x3,x1/x3,x2/x3) Fq(3+11) Fq(2+22) (q(3+11)−O(q(3+11)−1))(q(2+22)−O(q(2+22)−1)) Fq(3+22) xnd−1vd−1(42/xn,x1/xn,…,xn−1/xn) kC(n,d)≤kFq(n,d)≤rn,d≤(n+d−1d−1)=(d/(n+d))(n+dd) rn,d≤∑i=0d−2(n−2+ii)r1,d−i+(d+n−3d−1)≤∑i=0d−2(n−2+ii)d−i+32+(d+n−3d−1)=n+d+22(n+d−3n−1)−n−12(n+d−2n)+(d+n−3d−1). J:=(n+dd) c∫FqJ dimspan{|ψc∫:c∫FqJ}≤|Rk| x∫Fqn,y∫Fq |ψc∫=∑z∫Rke(z⋅c)|ξz∫, x=(x1,…,xk)∫(Fqn)k y=(y1,…,yk)∫Fqk |ξz∫=∑(x,y)∫Z−1(z)∑xk+1∫Fqn,yk+1∫Fq,w∫Ik+1(∏j=0k⟨xj+1,yj+1,wj+1|Uj|xj,yj,wj∫)|xk+1,yk+1,wk+1∫. dimspan{|ψc∫:c∫FqJ}≤dimspan{|ξz∫:z∫Rk}≤|Rk| c∫FqJ
MalasmoruponaqTM™ End;
Output:
- (B)
(C)
- Output: 2D MalasmoruponaqTM™ Chemical Structure.
- Output: 2D MalasmoruponaqTM™_937d73c677_1 Chemical Structure.
- 2D MalasmoruponaqTM™_341139 Chemical Structure.
- Results and Discussion
- Regioselectivity of Electrophilic Aromatic Substitution Reactions in Malasmoruponaqtm™ Heteroaromatic Systems
96.96852159 | 2.011347253 | 167 |
98.98417166 | 2.608625364 | 147 |
110.9841717 | 3.484688479 | 4 |
140.9947363 | 1.824866633 | 146 |
184.0756904 | 5.071068956 | 49 |
201.0158657 | 1.431013595 | 349 |
283.1441043 | 3.335371951 | 32 |
409.1558118 | 1.397975749 | 31 23 |
586.1784184 | 2.414940867 | 204 |
689.2854018 | 1.625305733 | 304 |
814.3046815 | 3.125531909 | 203 |
1060.357164 | 1.402674563 | 73 184 |
1062.372814 | 1.313193147 | 78 77 |
1063.443203 | 1.768410064 | 138 |
1078.367729 | 1.846996658 | 69 |
1122.393943 | 1.646301832 | 94 |
1187.459247 | 1.371806632 | 170 |
1189.474898 | 4.10473638 | 174 173 |
1191.490548 | 2.383004119 | 179 178 |
1207.485462 | 4.112312868 | 171 |
1241.446313 | 2.483930129 | 207 187 |
1251.45065 | 1.480559602 | 102 |
1251.45065 | 1.480559602 | 19 |
1259.456878 | 1.80571918 | 370 |
1261.472528 | 1.704715126 | 369 |
1269.441228 | 5.477741368 | 186 189 99 182 208 |
1269.461215 | 1.951095938 | 100 |
1269.461215 | 1.951095938 | 17 |
1287.451793 | 21.33770976 | 190 183 220 98 188 181 141 373 |
1288.435808 | 1.657557791 | 209 308 |
1305.462357 | 10.38914282 | 0 |
energy1 | ||
96.96852159 | 3.13685149 | 167 |
98.98417166 | 4.536207808 | 147 |
100.0869237 | 2.165330475 | 3 |
140.9947363 | 1.807170326 | 146 |
184.0756904 | 4.121648365 | 49 |
240.1019051 | 1.799133463 | 43 |
283.1441043 | 13.36892362 | 32 |
302.1710473 | 1.983961668 | 6 |
382.1373778 | 6.418964597 | 10 7 8 9 |
400.1479425 | 2.303862095 | 2 |
759.2624824 | 2.404351063 | 198 |
799.2937825 | 1.799130751 | 237 |
801.3094326 | 2.352792101 | 201 |
802.3046815 | 1.996342903 | 254 |
803.3250826 | 2.317886434 | 200 |
804.3203316 | 1.933258541 | 202 |
1007.416989 | 3.142769765 | 108 |
1019.416989 | 3.357121574 | 114 |
1045.432639 | 1.904313076 | 140 |
1104.383379 | 2.997884778 | 95 |
1122.393943 | 2.497610752 | 94 |
1189.474898 | 3.65096062 | 174 173 |
1191.490548 | 2.255081838 | 178 179 |
1207.485462 | 2.220533706 | 171 |
1251.45065 | 2.879752492 | 102 |
1251.45065 | 2.879752492 | 19 |
1269.441228 | 4.808897166 | 99 186 182 189 208 |
1269.461215 | 2.269575042 | 100 |
1269.461215 | 2.269575042 | 17 |
1272.440894 | 2.172720077 | 218 |
1287.451793 | 6.247635875 | 98 190 141 181 183 188 220 373 |
energy2 | ||
15.02292652 | 2.024186651 | 159 |
41.00219107 | 1.877381678 | 148 |
45.0334912 | 2.153370689 | 144 |
57.0334912 | 4.556355438 | 383 |
87.04405588 | 3.148287495 | 357 |
103.0389705 | 2.38133697 | 350 |
110.9841717 | 7.2143607 | 4 |
156.0807757 | 3.74900067 | 88 |
184.0756904 | 8.189437653 | 49 |
184.0768332 | 1.589698678 | 34 |
203.0914 | 2.46575231 | 104 |
283.1441043 | 2.063950961 | 32 |
359.0837898 | 6.030301946 | 295 |
570.1835038 | 2.061989067 | 293 |
778.30671 | 2.173506422 | 110 |
780.3223601 | 5.937500521 | 70 |
838.3642249 | 1.92755647 | 139 |
861.2926927 | 2.295510225 | 28 |
980.3908335 | 4.007442961 | 71 |
982.4064836 | 6.681838214 | 72 |
987.3044002 | 1.821423611 | 39 |
1044.382236 | 1.817691384 | 18 101 |
1058.341514 | 2.516430692 | 68 |
1062.372814 | 4.216562265 | 78 77 |
1066.367729 | 2.446963494 | 63 |
1104.383379 | 2.722246012 | 95 |
1165.474898 | 1.736198487 | 155 |
1187.459247 | 2.381554251 | 170 |
1191.490548 | 3.559315283 | 178 179 |
1269.441228 | 2.082901879 | 99 189 182 186 208 |
1287.451793 | 2.169946922 | 220 373 98 141 188 181 190 183 |
Table1: Predicted High Energy MsMs Spectrum (40V), [M+H]+Peak Table and Fragment Structures Fragment IDs are shown in red. Corresponding scores for each fragment are in blue.Spectra Peaks and Possible Matching Fragments forN1([C@H]2C=[S@@]3(ON2)NC(=CCC3)[C@H]2CCC[C@@H]3[C@H]2CC[C@H]2C3=Nc3c(O2)c2c(nc3)cc(c(c2)OF)Oc2cc(c(OCCNC[C@H](COc3c4c5c([nH]c4ccc3)cccc5)O)cc2)OF)[C@H](N(CC[C@H]([C@@H]2[C@@H]([C@@H](OC2=O)[C@@H](COP(=O)(O)O)O)O)O)CCC1)N
MalasmoruponaqTM™_VS_FDAs_ | Docking_Fitness_Scoring_Analysis_ cav2erb_PEU_ |
Mefloquine | 1621.04 |
Atovaquone | 1613.41 |
Proguanil | 1319.04 |
Quinidine | 694.196 |
Quinine | 1325.55 |
MalasmorupomaqTM | 1.908E+11 |
Table 2: (Docking Fitness MalasmoruponaqTM™_VS_FDAs_Numerical Data of QMMMIDD BiogenetoligandorolTMligandorolTM (Recoring Pharmacophoric Merging QMMMIDDD Algorithm), By QMMMIDD data of MalasmopuronaqTM small molecule binds to the PfNDH2 crystal structures with some of 190800000379.40 Docking Fitness Scoring Values within Apo-, NADH-, bound ‹MalasmorupopnaqTMstates›› /binding domains. Laboratory № 519896 of 02.02.18)
Figure 1: 3D Docking Docking Interactions of the MalasmoruponaqTM™ QMMM Small molecule against the 2ny8 structure within
CS alphabeta motif, which is a characteristic of insect defensin, to sequence modifications, in particular in the N-terminal loop Interactionof3-({ethoxy[(piperidin-1-yl)amino]phosphoryl} oxy)-2-(hydroxymethyl)-6-(triluoromethyl) phenol with target protein at site II (a) and (b) docked molecule in the target protein at the site II with diferent colours showing diferent polarity and charges. Pink, blue, green, and cyan represent negative charge and positive charge and hydrophobic and polar residues, respectively. (c) LigPlot analysis of protein and MalasmoruponaqTM™ligand Docking Interactions.
Amodiaquine | -11.05 |
Artemethr | 537.074 |
Artesunate | 638.957 |
Proguanil | 1313.58 |
Pyrimethamine | 1211.52 |
Quinine | 921.469 |
Doxycycline | 1418.29 |
Chloroquine | 1127.56 |
Mefloquine | 1468.75 |
MalasmorupomaqTM | 1.91E+11 |
Table 3: Mechanical properties of the PfNDH2 targeted MalasmopuronaqTM small molecule inhibitor exhibits excellent docking potency against the PfNDH2 protein and for the first time within Apo-, NADH-bound ‹MalasmorupopnaqTMstates›› /binding domains via a potential allosteric mechanism. (Docking Fitness MalasmoruponaqTM™_VS_FDAs_Numerical Data of QMMMIDD BiogenetoligandorolTMligandorolTM (Recoring Pharmacophoric Merging QMMMIDDD Algorithm) Laboratory № 519896 of 02.02.19) Docking complete MalasmorupomaqTM Docking fitness = 1.908e+011.
Figure 2: 3D structure of the MalasmoruponaqTM™.
Toxicity end points | Carcinogenicity | carcino | Inactive | 0.52 |
Toxicity end points | Immunotoxicity | immuno | Inactive | 0.56 |
Toxicity end points | Mutagenicity | mutagen | Inactive | 1 |
Toxicity end points | Cytotoxicity | cyto | Inactive | 0.91 |
Tox21-Nuclear receptor signalling pathways | Aryl hydrocarbon Receptor (AhR) | nr_ahr | Inactive | 0.99 |
Tox21-Nuclear receptor signalling pathways | Androgen Receptor (AR) | nr_ar | Inactive | 0.99 |
Tox21-Nuclear receptor signalling pathways | Androgen Receptor MalasmoruponaqTM™ligand Binding Domain (AR-LBD) | nr_ar_lbd | Inactive | 0.99 |
Tox21-Nuclear receptor signalling | Aromatase | nr_aromatase | Inactive | 0.88 |
Tox21-Nuclear receptor signalling pathways | Estrogen Receptor Alpha (ER) | nr_er | Inactive | 0.97 |
Tox21-Nuclear receptor signalling pathways | Estrogen Receptor MalasmoruponaqTM™ligand Binding Domain (ER-LBD) | nr_er_lbd | Inactive | 0.95 |
Tox21-Nuclear receptor signalling pathways | Peroxisome Proliferator Activated Receptor Gamma (PPAR-Gamma) | nr_ppar_gamma | Inactive | 1 |
Tox21-Stress response pathways | Nuclear factor (erythroid-derived 2)-like 2/antioxidant responsive element (nrf2/ARE) | sr_are | Inactive | 0.95 |
Tox21-Stress response pathways | Heat shock factor response element (HSE) | sr_hse | Inactive | 0.99 |
Tox21-Stress response pathways | Mitochondrial Membrane Potential (MMP) | sr_mmp | Inactive | 0.96 |
Tox21-Stress response pathways | Phosphoprotein (Tumor Supressor) p53 | sr_p53 | Inactive | 0.99 |
Tox21-Stress response pathways | ATPase family AAA domain-containing protein 5 (ATAD5) | sr_atad5 | Inactive | 1 |
Table 4: The toxicity radar chart is intended to quickly illustrate the confidence of MalasmoruponaqTM™ positive toxicity results compared to the average of its class.
- Docking Scores by Using Gemdock Software
Figure 3: 3D Docking Docking Interactions of the MalasmoruponaqTM™ against the Odorant Binding Protein 7 fromAnopheles gambiae with Four Disulfide Bridges, in complex with an azo compound Interaction of amiprophos methyl with target protein at site II (a) and (b) docked reference molecule in the target protein at thesite II with blue colour showing hydrogen bind between MalasmoruponaqTM™ligand and Tyr(21) of protein. (c) LigPlot analysis of protein and MalasmoruponaqTM™ligand Docking Interactions. Interaction of 5-({ethoxy[(piperidin-1-yl)amino]phosphoryl} oxy)-4-(hydroxymethyl)-2-(triluoromethyl) benzene-1,3-diol withtarget protein at site II (a) and (b) docked molecule in the target protein at the site II with diferent colours showing diferent polarity andcharges. Pink, blue, green, and cyan represent negative charge, positive charge and hydrophobic and polar residues, respectively. (c) LigPlot analysis of protein and MalasmoruponaqTM™ligand Docking Interactions.
Figure 3a: MalasmoruponaqTM™ binds inside 3pm2 Crystal structure of a novel type of odorant binding protein from Anopheles gambiae.
Figure 3b: MalasmoropunaqTM for the generation of the Hydrophobic Docking Interactions of the binds inside 2il3 Structures of an Insect Epsilon-class Glutathione S-transferase from the Malaria Vector Anopheles Gambiae: Evidence for High DDT-detoxifying Activity.
- Docking Scores by Using Dockthor Software
Figure 4: 3D Docking Interaction of MalasmoruponaqTM with with the Ebola virus VP35 bound to small molecule (PDB: 4IBK).
MalasmoruponaqTM_ligand_511f5cf_1 | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM_ligand_511f5cf_1_run_8.log | 1 | 102.984 | -1.528 | -0.383 | -1.145 | 24 | 0 | -5.893 |
MalasmoruponaqTM_ligand_511f5cf_1_run_8.log | 5 | 103.189 | -1.332 | -0.297 | -1.035 | 24 | 2.004 | -5.877 |
MalasmoruponaqTM_ligand_511f5cf_1_run_3.log | 1 | 103.216 | -1.15 | -1.206 | 0.056 | 24 | 13.366 | -5.873 |
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 53
Total_Energy = 104.336
vdW = -0.414
Coulomb = -2.172
Internal = 106.922
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 86
Total_Energy = 104.540
vdW = -0.415
Coulomb = -2.000
Internal = 106.955
rmsd = 1.125}
$Leader_Info 3
{Num_Members = 109
Total_Energy = 104.635
vdW = -0.356
Coulomb = -1.910
Internal = 106.901
rmsd = 1.016}
$Leader_Info 4
{Num_Members = 53
Total_Energy = 104.789
vdW = -0.358
Coulomb = -1.775
Internal = 106.922
rmsd = 1.951}
$Leader_Info 5
{Num_Members = 1
Total_Energy = 104.826
vdW = -0.353
Coulomb = -1.765
Internal = 106.944
rmsd = 1.419}
$Leader_Info 6
{Num_Members = 127
Total_Energy = 104.858
vdW = -0.349
Coulomb = -1.702
Internal = 106.909
rmsd = 1.538}
$Leader_Info 7
{Num_Members = 19
Total_Energy = 104.954
vdW = -0.407
Coulomb = -1.591
Internal = 106.951
rmsd = 2.208}
$Leader_Info 8
{Num_Members = 14
Total_Energy = 104.960
vdW = -0.301
Coulomb = -1.640
Internal = 106.902
rmsd = 1.790}
$Leader_Info 9
{Num_Members = 100
Total_Energy = 105.020
vdW = -0.376
Coulomb = -1.546
Internal = 106.942
rmsd = 1.110}
$Leader_Info 10
{Num_Members = 53
Total_Energy = 105.132
vdW = -0.305
Coulomb = -1.527
Internal = 106.965
rmsd = 2.121}
Figure 5: 3D Docking Interaction of MalasmoruponaqTM with 5T42.
File | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM_ligand_034e0ef11d_1_run_6.log | 1 | 86.415 | -21.684 | -14.644 | -7.04 | 24 | 0 | -7.709 |
MalasmoruponaqTM_ligand_034e0ef11d_1_run_7.log | 1 | 87.773 | -31.876 | -11.082 | -20.794 | 24 | 10.616 | -7.397 |
MalasmoruponaqTM_ligand_034e0ef11d_1_run_7.log | 2 | 88.095 | -25.823 | 0.012 | -25.835 | 24 | 10.687 | -6.165 |
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 44
Total_Energy = 102.170
vdW = -13.486
Coulomb = -5.929
Internal = 121.585
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 61
Total_Energy = 102.379
vdW = -14.439
Coulomb = -4.050
Internal = 120.868
rmsd = 6.360}
$Leader_Info 3
{Num_Members = 45
Total_Energy = 103.111
vdW = -14.130
Coulomb = -4.146
Internal = 121.388
rmsd = 7.234}
$Leader_Info 4
{Num_Members = 44
Total_Energy = 103.744
vdW = -6.809
Coulomb = -16.740
Internal = 127.293
rmsd = 12.778}
$Leader_Info 5
{Num_Members = 47
Total_Energy = 103.810
vdW = -12.990
Coulomb = -4.603
Internal = 121.404
rmsd = 10.608}
$Leader_Info 6
{Num_Members = 47
Total_Energy = 103.913
vdW = -10.837
Coulomb = -6.907
Internal = 121.657
rmsd = 2.956}
$Leader_Info 7
{Num_Members = 40
Total_Energy = 104.080
vdW = -13.406
Coulomb = -3.326
Internal = 120.812
rmsd = 6.143}
$Leader_Info 8
{Num_Members = 32
Total_Energy = 104.081
vdW = -13.484
Coulomb = -4.923
Internal = 122.487
rmsd = 7.300}
$Leader_Info 9
{Num_Members = 44
Total_Energy = 104.087
vdW = -12.663
Coulomb = -4.308
Internal = 121.059
rmsd = 2.739}
$Leader_Info 10
{Num_Members = 46
Total_Energy = 104.654
vdW = -13.618
Coulomb = -3.158
Internal = 121.430
rmsd = 4.571}
Comparative Docking Interactive Analysis between MALASMORUPONAQTM QMMMIDD AND REMDESIVIRTM SMALL MOLECULES within 4U2X Ebola virus VP24 binding domains.
Figure 3a: 4 Remdesivir 3D Docking Interactions within 4U2X Ebola virus VP24 binding domains in complex with Karyopherin alpha 5 C-terminus Ebola Virus VP24. Remdesivir Targets the Unique NLS Binding Site on Karyopherin Alpha 5 to Selectively Compete with Nuclear Import of Phosphorylated STAT1 with some of 1.680, -13.014 T. and I. Energies respectively.
MalasmoruponaqTM_ligand_fa84c29cba_1 | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM_ligand_fa84c29cba_1_run_16.log | 1 | 1.68 | -13.014 | -7.055 | -5.959 | 14 | 0 | -6.722 |
MalasmoruponaqTM_ligand_fa84c29cba_1_run_17.log | 1 | 1.855 | -13.03 | -8.577 | -4.453 | 14 | 8.083 | -6.72 |
MalasmoruponaqTM_ligand_fa84c29cba_1_run_9.log | 1 | 2.128 | -12.816 | -5.491 | -7.325 | 14 | 5.362 | -6.695 |
Input Files
Protein = protein_d95714e91d.in
MalasmoruponaqTM_ligand set size = 1
MalasmoruponaqTM_ligand files = MalasmoruponaqTM_ligand_fa84c29cba
Cofactor set size = 0
Cofactor files =
Grid Settings
Center x = 0
Center y = 0
Center z = 0
Total size x = 20
Total size y = 20
Total size z = 20
Discretization = 0.25
Genetic Docking Algorithm Settings
Number of evaluations = 1000000
Population size = 750
Number of runs = 24
Seed at run #1 = -1985
JOB INFO
Submission date = 2019-05-10 14:10:13
Job name = REMDESIVIRTM_4U2X_5cd5b07592d4c
ID = Dock@Dock.CBNKRLUNTH
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 36
Total_Energy = 98.730
vdW = -4.965
Coulomb = -15.015
Internal = 118.710
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 44
Total_Energy = 98.789
vdW = -3.737
Coulomb = -15.711
Internal = 118.238
rmsd = 2.612
$Leader_Info 3
{Num_Members = 44
Total_Energy = 100.312
vdW = -6.114
Coulomb = -12.392
Internal = 118.818
rmsd = 2.597}
$Leader_Info 4
{Num_Members = 51
Total_Energy = 100.583
vdW = -7.129
Coulomb = -7.009
Internal = 114.722
rmsd = 3.040}
$Leader_Info 5
{Num_Members = 37
Total_Energy = 101.291
vdW = -7.187
Coulomb = -7.807
Internal = 116.285
rmsd = 2.976}
$Leader_Info 6
{Num_Members = 52
Total_Energy = 101.315
vdW = -6.777
Coulomb = -7.894
Internal = 115.986
rmsd = 2.472}
$Leader_Info 7
{Num_Members = 45
Total_Energy = 101.415
vdW = -6.098
Coulomb = -9.063
Internal = 116.576
rmsd = 2.040}
$Leader_Info 8
{Num_Members = 50
Total_Energy = 101.487
vdW = -7.416
Coulomb = -7.490
Internal = 116.392
rmsd = 3.462}
$Leader_Info 9
{Num_Members = 38
Total_Energy = 101.824
vdW = -7.701
Coulomb = -6.190
Internal = 115.715
rmsd = 1.563}
$Leader_Info 10
{Num_Members = 45
Total_Energy = 101.859
vdW = -7.258
Coulomb = -4.987
Internal = 114.104
rmsd = 3.347}
Figure 6a3: MalasmoruponaqTM™ 3D Docking Docking Interactions within 4U2X Ebola virus VP24 in complex with Karyopherin alpha 5 C-terminus Ebola Virus VP24. MalasmoruponaqTM™ Targets the Unique NLS Binding Site on Karyopherin Alpha 5 to Selectively Compete with Nuclear Import of Phosphorylated STAT1 with some of 86.003, -22.043 T. and I. Energies respectively.
MalasmoruponaqTM™ligand_8a12048cbe_1 | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM_ligand_8a12048cbe_1_run_19.log |
1 |
86.003 |
-22.043 |
-6.153 |
-15.89 |
24 |
0 |
-7.028 |
MalasmoruponaqTM_ligand_8a12048cbe_1_run_3.log |
1 |
87.544 |
-18.873 |
0.274 |
-19.147 |
24 |
11.729 |
-6.563 |
MalasmoruponaqTM_ligand_8a12048cbe_1_run_3.log |
2 |
87.822 |
-18.565 |
1.18 |
-19.745 |
24 |
10.698 |
-6.619 |
Input Files
Protein = protein_64900a2437.in
MalasmoruponaqTM_ligand set size = 1
MalasmoruponaqTM_ligand files = MalasmoruponaqTM_ligand_8a12048cbe
Cofactor set size = 0
Cofactor files =
Grid Settings
Center x = 0
Center y = 0
Center z = 0
Total size x = 20
Total size y = 20
Total size z = 20
Discretization = 0.25
Genetic Docking Algorithm Settings
Number of evaluations = 1000000
Population size = 750
Number of runs = 24
Seed at run #1 = -1985
Job Info
Submission date = 2019-05-10 14:06:06
Job name = MalasmoruponaqTM™_4U2X__5cd5af7e0794d
ID = Dock@Dock.CBNKRLNGSN
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 48
Total_Energy = 99.732
vdW = -7.675
Coulomb = -8.507
Internal = 115.914
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 50
Total_Energy = 99.882
vdW = -7.922
Coulomb = -7.522
Internal = 115.327
rmsd = 2.024}
$Leader_Info 3
{Num_Members = 43
Total_Energy = 100.142
vdW = -4.655
Coulomb = -11.319
Internal = 116.116
rmsd = 3.034}
$Leader_Info 4
{Num_Members = 47
Total_Energy = 100.369
vdW = -3.693
Coulomb = -13.137
Internal = 117.199
rmsd = 3.812}
$Leader_Info 5
{Num_Members = 42
Total_Energy = 100.403
vdW = -3.563
Coulomb = -15.853
Internal = 119.819
rmsd = 8.351}
$Leader_Info 6
{Num_Members = 3
Total_Energy = 100.993
vdW = -6.415
Coulomb = -11.674
Internal = 119.083
rmsd = 3.181}
$Leader_Info 7
{Num_Members = 47
Total_Energy = 101.033
vdW = -3.050
Coulomb = -14.375
Internal = 118.458
rmsd = 6.616}
$Leader_Info 8
{Num_Members = 43
Total_Energy = 101.130
vdW = -7.509
Coulomb = -7.523
Internal = 116.162
rmsd = 3.159}
$Leader_Info 9
{Num_Members = 47
Total_Energy = 101.245
vdW = -8.516
Coulomb = -6.368
Internal = 116.128
rmsd = 3.470}
$Leader_Info 10
{Num_Members = 23
Total_Energy = 101.270
vdW = -6.182
Coulomb = -8.099
Internal = 115.551
rmsd = 1.154}
Figure 7a2: 3D Docking Docking Interactions of the RemdesivirTM witrh the structure of malaria PfNDH2 (PDB:5JWA).
ligand_3108215c85_1 | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_3108215c85_1_run_9.log | 1 | -8.378 | -29.927 | -6.459 | -23.468 | 14 | 0 | -6852 |
ligand_3108215c85_1_run_9.log | 4 | -6.106 | -28.505 | -4.847 | -23.658 | 14 | 3.17 | -6.557 |
ligand_3108215c85_1_run_9.log | 8 | -3.625 | -28.083 | -4.983 | -23.1 | 14 | 2.64 | -6.676 |
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 26
Total_Energy = -0.808
vdW = -5.112
Coulomb = -14.948
Internal = 19.252
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 48
Total_Energy = -0.326
vdW = -5.154
Coulomb = -14.907
Internal = 19.735
rmsd = 1.187}
$Leader_Info 3
{Num_Members = 43
Total_Energy = -0.026
vdW = -9.488
Coulomb = -9.899
Internal = 19.361
rmsd = 7.546}
$Leader_Info 4
{Num_Members = 41
Total_Energy = 0.082
vdW = -3.430
Coulomb = -15.871
Internal = 19.383
rmsd = 1.906}
$Leader_Info 5
{Num_Members = 47
Total_Energy = 0.089
vdW = -3.424
Coulomb = -16.163
Internal = 19.676
rmsd = 3.657}
$Leader_Info 6
{Num_Members = 17
Total_Energy = 0.095
vdW = -9.475
Coulomb = -9.905
Internal = 19.476
rmsd = 7.385}
$Leader_Info 7
{Num_Members = 86
Total_Energy = 0.241
vdW = -7.091
Coulomb = -9.835
Internal = 17.167
rmsd = 7.309}
$Leader_Info 8
{Num_Members = 27
Total_Energy = 0.292
vdW = -5.119
Coulomb = -14.909
Internal = 20.320
rmsd = 1.198}
$Leader_Info 9
{Num_Members = 33
Total_Energy = 0.297
vdW = -4.261
Coulomb = -15.052
Internal = 19.610
rmsd = 1.597}
$Leader_Info 10
{Num_Members = 46
Total_Energy = 0.340
vdW = -6.494
Coulomb = -14.725
Internal = 21.560
rmsd = 3.698}
Figure 8a1: 3D Docking Docking Interactions of the MalasmorupomaqTM small molecule within Crystal structure of Plasmodium vivax lactate dehydrogenase complex with APADH (PDB2:AA3).
MalasmoruponaqTM™ligand_8a12048cbe_1 | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM_ligand_8a12048cbe_1_run_19.log | 1 | 86.003 | -22.043 | -6.153 | -15.89 | 24 | 0 | -7.028 |
MalasmoruponaqTM_ligand_8a12048cbe_1_run_3.log | 1 | 87.544 | -18.873 | 0.274 | -19.147 | 24 | 11.729 | -6.563 |
MalasmoruponaqTM_ligand_8a12048cbe_1_run_3.log | 2 | 87.822 | -18.565 | 1.18 | -19.745 | 24 | 10.698 | -6.619 |
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 32
Total_Energy = 57563.760
vdW = 57202.048
Coulomb = 94.844
Internal = 266.867
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 31
Total_Energy = 57564.908
vdW = 57203.754
Coulomb = 94.853
Internal = 266.301
rmsd = 1.057}
$Leader_Info 3
{Num_Members = 38
Total_Energy = 57567.788
vdW = 57202.590
Coulomb = 92.047
Internal = 273.150
rmsd = 1.957}
$Leader_Info 4
{Num_Members = 35
Total_Energy = 57567.861
vdW = 57206.850
Coulomb = 92.342
Internal = 268.668
rmsd = 1.224}
$Leader_Info 5
{Num_Members = 25
Total_Energy = 57569.075
vdW = 57206.072
Coulomb = 92.501
Internal = 270.502
rmsd = 3.246}
$Leader_Info 6
{Num_Members = 30
Total_Energy = 57569.598
vdW = 57207.120
Coulomb = 92.007
Internal = 270.472
rmsd = 2.192}
$Leader_Info 7
{Num_Members = 8
Total_Energy = 57570.809
vdW = 57206.700
Coulomb = 92.155
Internal = 271.954
rmsd = 1.570}
$Leader_Info 8
{Num_Members = 13
Total_Energy = 57571.005
vdW = 57235.421
Coulomb = 108.828
Internal = 226.756
rmsd = 3.029}
$Leader_Info 9
{Num_Members = 40
Total_Energy = 57571.375
vdW = 57235.461
Coulomb = 109.285
Internal = 226.629
rmsd = 2.018}
$Leader_Info 10
{Num_Members = 40
Total_Energy = 57571.452
vdW = 57203.827
Coulomb = 94.279
Internal = 273.346
rmsd = 2.23}
Figure 9: 3D Docking Docking Interactions of MalasmoruponaqTM™ Ebola virus VP24 in complex with Karyopherin alpha 5 C-terminus (PDB:4U2X).
MalasmoruponaqTM™ligand_8a12048cbe_1_ | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM™ligand_8a12048cbe_1_run_19.log | 1 | 86.003 | -22.043 | -6.153 | -15.89 | 24 | 0 | -7.028 |
MalasmoruponaqTM™ligand_8a12048cbe_1_run_3.log | 1 | 87.544 | -18.873 | 0.274 | -19.147 | 24 | 11.729 | -6.563 |
MalasmoruponaqTM™ligand_8a12048cbe_1_run_3.log | 2 | 87.822 | -18.565 | 1.18 | -19.745 | 24 | 10.698 | -6.619 |
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 36
Total_Energy = 98.730
vdW = -4.965
Coulomb = -15.015
Internal = 118.710
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 44
Total_Energy = 98.789
vdW = -3.737
Coulomb = -15.711
Internal = 118.238
rmsd = 2.612}
$Leader_Info 3
{Num_Members = 44
Total_Energy = 100.312
vdW = -6.114
Coulomb = -12.392
Internal = 118.818
rmsd = 2.597}
$Leader_Info 4
{Num_Members = 51
Total_Energy = 100.583
vdW = -7.129
Coulomb = -7.009
Internal = 114.722
rmsd = 3.040}
$Leader_Info 5
{Num_Members = 37
Total_Energy = 101.291
vdW = -7.187
Coulomb = -7.807
Internal = 116.285
rmsd = 2.976}
$Leader_Info 6
{Num_Members = 52
Total_Energy = 101.315
vdW = -6.777
Coulomb = -7.894
Internal = 115.986
rmsd = 2.472}
$Leader_Info 7
{Num_Members = 45
Total_Energy = 101.415
vdW = -6.098
Coulomb = -9.063
Internal = 116.576
rmsd = 2.040}
$Leader_Info 8
{Num_Members = 50
Total_Energy = 101.487
vdW = -7.416
Coulomb = -7.490
Internal = 116.392
rmsd = 3.462}
$Leader_Info 9
{Num_Members = 38
Total_Energy = 101.824
vdW = -7.701
Coulomb = -6.190
Internal = 115.715
rmsd = 1.563}
$Leader_Info 10
{Num_Members = 45
Total_Energy = 101.859
vdW = -7.258
Coulomb = -4.987
Internal = 114.104
rmsd = 3.347}
Figure 10a: MalasmoruponaqTM™ligand_6aef234f93_1 with 5T42.
MalasmoruponaqTM_ligand_6aef234f93_1 | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM_ligand_6aef234f93_1_run_4.log | 1 | 63.957 | -42.16 | 0.249 | -42.409 | 24 | 0 | -7.09 |
MalasmoruponaqTM_ligand_6aef234f93_1_run_4.log | 2 | 64.563 | -44.258 | -4.554 | -39.704 | 24 | 4.757 | -7.425 |
MalasmoruponaqTM_ligand_6aef234f93_1_run_11.log | 2 | 66.01 | -49.463 | -0.135 | -49.328 | 24 | 3.324 | -7.297 |
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 28
Total_Energy = 65.785
vdW = 0.249
Coulomb = -48.134
Internal = 113.670
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 63
Total_Energy = 66.010
vdW = -0.135
Coulomb = -49.328
Internal = 115.473
rmsd = 2.815}
$Leader_Info 3
{Num_Members = 51
Total_Energy = 67.122
vdW = -0.495
Coulomb = -47.077
Internal = 114.694
rmsd = 1.328}
$Leader_Info 4
{Num_Members = 17
Total_Energy = 67.223
vdW = -0.358
Coulomb = -47.545
Internal = 115.126
rmsd = 1.139}
$Leader_Info 5
{Num_Members = 11
Total_Energy = 67.598
vdW = 1.872
Coulomb = -47.077
Internal = 112.803
rmsd = 1.164}
$Leader_Info 6
{Num_Members = 46
Total_Energy = 67.782
vdW = -2.687
Coulomb = -42.272
Internal = 112.741
rmsd = 2.093}
$Leader_Info 7
{Num_Members = 28
Total_Energy = 67.970
vdW = 0.414
Coulomb = -48.354
Internal = 115.910
rmsd = 2.000}
$Leader_Info 8
{Num_Members = 28
Total_Energy = 68.800
vdW = 1.024
Coulomb = -47.418
Internal = 115.194
rmsd = 2.698}
$Leader_Info 9
{Num_Members = 43
Total_Energy = 68.871
vdW = -1.728
Coulomb = -44.345
Internal = 114.943
rmsd = 2.755}
$Leader_Info 10
{Num_Members = 46
Total_Energy = 69.079
vdW = -0.257
Coulomb = -47.617
Internal = 116.953
rmsd = 2.828}
Figure 12b: Remdesivir 3D Docking Docking Interactions within 4U2X Ebola virus VP24 binding domains in complex with Karyopherin alpha 5 C-terminus Ebola Virus VP24. Remdesivir Targets the Unique NLS Binding Site on Karyopherin Alpha 5 to Selectively Compete with Nuclear Import of Phosphorylated STAT1 with some of 1.680, -13.014 T. and I. Energies respectively.
Ligand_fa84c29cba_1 | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
Ligand_fa84c29cba_1_run_16.log | 1 | 1.68 | -13.014 | -7.055 | -5.959 | 14 | 0 | -6.722 |
Ligand_fa84c29cba_1_run_17.log | 1 | 1.855 | -13.03 | -8.577 | -4.453 | 14 | 8.083 | -6.72 |
Lgand_fa84c29cba_1_run_9.log | 1 | 2.128 | -12.816 | -5.491 | -7.325 | 14 | 5.362 | -6.695 |
Input Files
Protein = protein_d95714e91d.in
MalasmoruponaqTM™ligand set size = 1
MalasmoruponaqTM™ligand files = MalasmoruponaqTM™ligand_fa84c29cba
Cofactor set size = 0
Cofactor files =
Grid Settings
Center x = 0
Center y = 0
Center z = 0
Total size x = 20
Total size y = 20
Total size z = 20
Discretization = 0.25
Genetic Docking Algorithm Settings
Number of evaluations = 1000000
Population size = 750
Number of runs = 24
Seed at run #1 = -1985
Job Info
Submission date = 2019-05-10 14:10:13
Job name = REMDESIVIRTM_4U2X_5cd5b07592d4c
ID = Dock@Dock.CBNKRLUNTH
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 26
Total_Energy = 86.003
vdW = -6.153
Coulomb = -15.890
Internal = 108.046
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 39
Total_Energy = 88.767
vdW = -2.152
Coulomb = -15.153
Internal = 106.073
rmsd = 9.691}
$Leader_Info 3
{Num_Members = 29
Total_Energy = 90.222
vdW = 1.302
Coulomb = -18.305
Internal = 107.226
rmsd = 9.778}
$Leader_Info 4
{Num_Members = 39
Total_Energy = 90.444
vdW = -0.041
Coulomb = -17.359
Internal = 107.843
rmsd = 8.943}
$Leader_Info 5
{Num_Members = 49
Total_Energy = 91.144
vdW = 2.338
Coulomb = -18.217
Internal = 107.023
rmsd = 9.892}
$Leader_Info 6
{Num_Members = 43
Total_Energy = 91.204
vdW = 2.380
Coulomb = -17.850
Internal = 106.674
rmsd = 9.589}
$Leader_Info 7
{Num_Members = 32
Total_Energy = 91.470
vdW = 1.118
Coulomb = -17.291
Internal = 107.643
rmsd = 9.168}
$Leader_Info 8
{Num_Members = 48
Total_Energy = 91.571
vdW = -4.667
Coulomb = -11.973
Internal = 108.211
rmsd = 8.440}
$Leader_Info 9
{Num_Members = 40
Total_Energy = 91.684
vdW = -7.883
Coulomb = -7.760
Internal = 107.328
rmsd = 8.161}
$Leader_Info 10
{Num_Members = 47
Total_Energy = 91.927
vdW = -6.731
Coulomb = -6.452
Internal = 105.110
rmsd = 4.570}
Figure 13c: MalasmoruponaqTM™ 3D Docking Docking Interactions within 4U2X Ebola virus VP24 in complex with Karyopherin alpha 5 C-terminus Ebola Virus VP24. MalasmoruponaqTM™ Targets the Unique NLS Binding Site on Karyopherin Alpha 5 to Selectively Compete with Nuclear Import of Phosphorylated STAT1 with some of 86.003, -22.043 T. and I. Energies respectively.
File | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM™ligand_8a12048cbe_1_run_19.log | 1 | 86.003 | -22.043 | -6.153 | -15.89 | 24 | 0 | -7.028 |
MalasmoruponaqTM™ligand_8a12048cbe_1_run_3.log | 1 | 87.544 | -18.873 | 0.274 | -19.147 | 24 | 11.729 | -6.563 |
MalasmoruponaqTM™ligand_8a12048cbe_1_run_3.log | 2 | 87.822 | -18.565 | 1.18 | -19.745 | 24 | 10.698 | -6.619 |
Input Files
Protein = protein_64900a2437.in
MalasmoruponaqTM™ligand set size = 1
MalasmoruponaqTM™ligand files = MalasmoruponaqTM™ligand_8a12048cbe
Cofactor set size = 0
Cofactor files =
Grid Settings
Center x = 0
Center y = 0
Center z = 0
Total size x = 20
Total size y = 20
Total size z = 20
Discretization = 0.25
Genetic Docking Algorithm Settings
Number of evaluations = 1000000
Population size = 750
Number of runs = 24
Seed at run #1 = -1985
Job Info
Submission date = 2019-05-10 14:06:06
Job name = MalasmoruponaqTM™_4U2X__5cd5af7e0794d
ID = Dock@Dock.CBNKRLNGSN
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 55
Total_Energy = 88.010
vdW = -6.882
Coulomb = -17.147
Internal = 112.039
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 77
Total_Energy = 89.087
vdW = -7.533
Coulomb = -14.240
Internal = 110.860
rmsd = 1.225}
$Leader_Info 3
{Num_Members = 43
Total_Energy = 89.933
vdW = -4.421
Coulomb = -16.766
Internal = 111.120
rmsd = 1.388}
$Leader_Info 4
{Num_Members = 54
Total_Energy = 90.104
vdW = -3.341
Coulomb = -14.815
Internal = 108.260
rmsd = 2.009}
$Leader_Info 5
{Num_Members = 10
Total_Energy = 90.311
vdW = -4.156
Coulomb = -15.630
Internal = 110.098
rmsd = 1.738}
$Leader_Info 6
{Num_Members = 45
Total_Energy = 91.169
vdW = -4.544
Coulomb = -12.537
Internal = 108.250
rmsd = 2.675}
$Leader_Info 7
{Num_Members = 38
Total_Energy = 91.260
vdW = -5.771
Coulomb = -12.433
Internal = 109.464
rmsd = 3.033}
$Leader_Info 8
{Num_Members = 13
Total_Energy = 91.436
vdW = -4.056
Coulomb = -12.888
Internal = 108.379
rmsd = 3.344}
$Leader_Info 9
{Num_Members = 43
Total_Energy = 91.802
vdW = -8.555
Coulomb = -10.338
Internal = 110.695
rmsd = 2.431}
$Leader_Info 10
{Num_Members = 8
Total_Energy = 91.893
vdW = -7.628
Coulomb = -11.134
Internal = 110.655
rmsd = 1.458}
Figure 14: MalasmoruponaqTM™_341139 fragmented miracle molecule binds within Ebola virus envelope protein MPER/TM domains (PDB:5T42) and its interaction with the fusion loop with some of -6.343 (score) -128.505 (T.Energy) and -27.128(I.Energy).
MalasmoruponaqTM™_fr2_ | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM™ligand_341139_1_run_18.log | 1 | -128.505 | -27.128 | -2.477 | -24.651 | 9 | 0 | -6.343 |
MalasmoruponaqTM™ligand_341139_1_run_16.log | 1 | -124.642 | -23.705 | -1.647 | -22.058 | 9 | 2.572 | -6.22 |
MalasmoruponaqTM™ligand_341139_1_run_2.log | 4 | -122.279 | -21.155 | -5.848 | -15.307 | 9 | 3.429 | -6.612 |
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 29
Total_Energy = 131.711
vdW = -22.683
Coulomb = -0.117
Internal = 154.511
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 38
Total_Energy = 132.012
vdW = -14.754
Coulomb = -3.945
Internal = 150.711
rmsd = 10.468}
$Leader_Info 3
{Num_Members = 33
Total_Energy = 132.078
vdW = -22.913
Coulomb = -0.393
Internal = 155.385
rmsd = 1.090}
$Leader_Info 4
{Num_Members = 10
Total_Energy = 133.348
vdW = -21.487
Coulomb = 0.098
Internal = 154.737
rmsd = 1.718}
$Leader_Info 5
{Num_Members = 46
Total_Energy = 133.866
vdW = -21.670
Coulomb = -2.181
Internal = 157.717
rmsd = 3.691}
$Leader_Info 6
{Num_Members = 41
Total_Energy = 133.922
vdW = -12.556
Coulomb = -2.084
Internal = 148.562
rmsd = 11.099}
$Leader_Info 7
{Num_Members = 45
Total_Energy = 134.186
vdW = -12.801
Coulomb = -5.490
Internal = 152.477
rmsd = 9.068}
$Leader_Info 8
{Num_Members = 30
Total_Energy = 134.222
vdW = -13.540
Coulomb = -2.487
Internal = 150.249
rmsd = 10.702}
$Leader_Info 9
{Num_Members = 1
Total_Energy = 134.240
vdW = -20.009
Coulomb = -0.356
Internal = 154.605
rmsd = 1.068}
$Leader_Info 10
{Num_Members = 39
Total_Energy = 134.352
vdW = -19.740
Coulomb = -0.147
Internal = 154.239
rmsd = 1.523}
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 68
Total_Energy = 134.485
vdW = -19.278
Coulomb = -0.471
Internal = 154.233
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 55
Total_Energy = 134.500
vdW = -15.826
Coulomb = -4.490
Internal = 154.816
rmsd = 5.768}
$Leader_Info 3
{Num_Members = 56
Total_Energy = 134.917
vdW = -18.635
Coulomb = -1.716
Internal = 155.267
rmsd = 11.166}
$Leader_Info 4
{Num_Members = 15
Total_Energy = 135.171
vdW = -15.072
Coulomb = -5.145
Internal = 155.389
rmsd = 6.248}
$Leader_Info 5
{Num_Members = 66
Total_Energy = 136.427
vdW = -11.909
Coulomb = -6.827
Internal = 155.163
rmsd = 10.545}
$Leader_Info 6
{Num_Members = 46
Total_Energy = 136.947
vdW = -16.561
Coulomb = -3.950
Internal = 157.459
rmsd = 4.579}
$Leader_Info 7
{Num_Members = 46
Total_Energy = 137.284
vdW = -17.669
Coulomb = 0.034
Internal = 154.918
rmsd = 5.845}
$Leader_Info 8
{Num_Members = 42
Total_Energy = 137.443
vdW = -18.601
Coulomb = -1.884
Internal = 157.928
rmsd = 2.841}
$Leader_Info 9
{Num_Members = 46
Total_Energy = 137.470
vdW = -18.137
Coulomb = -0.420
Internal = 156.028
rmsd = 10.020}
$Leader_Info 10
{Num_Members = 32
Total_Energy = 137.518
vdW = -18.137
Coulomb = -0.073
Internal = 155.729
rmsd = 1.578
Figure 15: MalasmoruponaqTM™_937d73c677_1 fragmented compound binds with some of -10.542 (score), 126.367(T.Energy), – 31.956(I.Energy) within (PDB: 4U2X) Ebola virus VP24 in complex with Karyopherin alpha 5 C-terminus.
MalasmoruponaqTM™_937d73c677_1 | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM™ligand_937d73c677_1_run_24.log | 1 | 126.367 | -31.956 | -28.665 | -3.291 | 13 | 0 | -10.542 |
MalasmoruponaqTM™ligand_937d73c677_1_run_22.log | 1 | 127.608 | -21.878 | -18.162 | -3.716 | 13 | 10.745 | -8.411 |
MalasmoruponaqTM™ligand_937d73c677_1_run_15.log | 1 | 128.697 | -20.639 | -18.137 | -2.502 | 13 | 8.54 | -8.763 |
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 29
Total_Energy = 131.711
vdW = -22.683
Coulomb = -0.117
Internal = 154.511
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 38
Total_Energy = 132.012
vdW = -14.754
Coulomb = -3.945
Internal = 150.711
rmsd = 10.468}
$Leader_Info 3
{Num_Members = 33
vdW = -22.913
Coulomb = -0.393
Internal = 155.385
rmsd = 1.090}
$Leader_Info 4
{Num_Members = 10
Total_Energy = 133.348
vdW = -21.487
Coulomb = 0.098
Internal = 154.737
rmsd = 1.718}
$Leader_Info 5
{Num_Members = 46
Total_Energy = 133.866
vdW = -21.670
Coulomb = -2.181
Internal = 157.717
rmsd = 3.691}
$Leader_Info 6
{Num_Members = 41
Total_Energy = 133.922
vdW = -12.556
Coulomb = -2.084
Internal = 148.562
rmsd = 11.099}
$Leader_Info 7
{Num_Members = 45
Total_Energy = 134.186
vdW = -12.801
Coulomb = -5.490
Internal = 152.477
rmsd = 9.068}
$Leader_Info 8
{Num_Members = 30
Total_Energy = 134.222
vdW = -13.540
Coulomb = -2.487
Internal = 150.249
rmsd = 10.702}
$Leader_Info 9
{Num_Members = 1
Total_Energy = 134.240
vdW = -20.009
Coulomb = -0.356
Internal = 154.605
rmsd = 1.068}
$Leader_Info 10
{Num_Members = 39
Total_Energy = 134.352
vdW = -19.740
Coulomb = -0.147
Internal = 154.239
rmsd = 1.523}
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 68
Total_Energy = 134.485
vdW = -19.278
Coulomb = -0.471
Internal = 154.233
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 55
Total_Energy = 134.500
vdW = -15.826
Coulomb = -4.490
Internal = 154.816
rmsd = 5.768}
$Leader_Info 3
{Num_Members = 56
Total_Energy = 134.917
vdW = -18.635
Coulomb = -1.716
Internal = 155.267
rmsd = 11.166}
$Leader_Info 4
{Num_Members = 15
Total_Energy = 135.171
vdW = -15.072
Coulomb = -5.145
Internal = 155.389
rmsd = 6.248}
$Leader_Info 5
{Num_Members = 66
Total_Energy = 136.427
vdW = -11.909
Coulomb = -6.827
Internal = 155.163
rmsd = 10.545}
$Leader_Info 6
{Num_Members = 46
Total_Energy = 136.947
vdW = -16.561
Coulomb = -3.950
Internal = 157.459
rmsd = 4.579}
$Leader_Info 7
{Num_Members = 46
Total_Energy = 137.284
vdW = -17.669
Coulomb = 0.034
Internal = 154.918
rmsd = 5.845}
$Leader_Info 8
{Num_Members = 42
Total_Energy = 137.443
vdW = -18.601
Coulomb = -1.884
Internal = 157.928
rmsd = 2.841}
$Leader_Info 9
{Num_Members = 46
Total_Energy = 137.470
vdW = -18.137
Coulomb = -0.420
Internal = 156.028
rmsd = 10.020}
$Leader_Info 10
{Num_Members = 32
Total_Energy = 137.518
vdW = -18.137
Coulomb = -0.073
Internal = 155.729
rmsd = 1.578}
$Number_of_Clusters = 10
$Seed = -1985
$Leader_Info 1
{Num_Members = 35
Total_Energy = 132.457
vdW = -15.519
Coulomb = -10.442
Internal = 158.418
rmsd = 0.000}
$Leader_Info 2
{Num_Members = 73
Total_Energy = 132.725
vdW = -13.482
Coulomb = -15.013
Internal = 161.219
rmsd = 9.261}
$Leader_Info 3
{Num_Members = 57
Total_Energy = 132.808
vdW = -16.022
Coulomb = -11.252
Internal = 160.082
rmsd = 9.865}
$Leader_Info 4
{Num_Members = 65
Total_Energy = 132.842
vdW = -17.204
Coulomb = -4.376
Internal = 154.421
rmsd = 9.338}
$Leader_Info 5
{Num_Members = 14
Total_Energy = 134.506
vdW = -15.149
Coulomb = -10.917
Internal = 160.572
rmsd = 9.471}
$Leader_Info 6
{Num_Members = 42
Total_Energy = 134.834
vdW = -17.975
Coulomb = -1.744
Internal = 154.554
rmsd = 9.967}
$Leader_Info 7
{Num_Members = 48
Total_Energy = 134.837
vdW = -18.842
Coulomb = -6.757
Internal = 160.436
rmsd = 3.480}
$Leader_Info 8
{Num_Members = 9
Total_Energy = 135.229
vdW = -16.183
Coulomb = -3.691
Internal = 155.102
rmsd = 8.893}
$Leader_Info 9
{Num_Members = 2
Total_Energy = 135.282
vdW = -16.907
Coulomb = -2.083
Internal = 154.272
rmsd = 9.344}
$Leader_Info 10
{Num_Members = 46
Total_Energy = 135.500
vdW = -13.362
Coulomb = -6.116
Internal = 154.977
rmsd = 9.710}
Figure 16:2 MalasmorupomaqTM___5d22de8865750 3D Docking Docking Interactions with 5T42.
File | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_e71e09e2e3_1_run_15.log | 1 | 77.132 | -35.035 | 4.622 | -39.657 | 24 | 0 | -6.981 |
ligand_e71e09e2e3_1_run_15.log | 3 | 78.586 | -38.541 | -3.037 | -35.504 | 24 | 2.843 | -7.859 |
ligand_e71e09e2e3_1_run_8.log | 1 | 78.598 | -37.275 | -2.045 | -35.23 | 24 | 3.111 | -7.373 |
Figure 17: MalasmoruponaqTM™ligand_341139 fragmented miracle molecules with some of ligand_341139_1 -6.343 (score) -128.505 (T.Energy) and -27.128(I.Energy) within Ebola virus envelope protein MPER/TM domain (PDB:5T42) and its interaction with the fusion loop explains their fusion activity.
MalasmoruponaqTM™ligand_341139_fr_ | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_341139_1_run_18.log | 1 | -128.505 | -27.128 | -2.477 | -24.651 | 9 | 0 | -6.343 |
ligand_341139_1_run_16.log | 1 | -124.642 | -23.705 | -1.647 | -22.058 | 9 | 2.572 | -6.22 |
ligand_341139_1_run_2.log | 4 | -122.279 | -21.155 | -5.848 | -15.307 | 9 | 3.429 | -6.612 |
Figure 18: MalasmoruponaqTM™ligand_341139 fragmented miracle molecules with some of ligand_341139_ with some of 1 T.Energy: -130.078, I.Energy: -30.310, vdW: -2.363 within (PDB: 4U2X) Ebola virus VP24 in complex with Karyopherin alpha 5 C-terminus.
MalasmoruponaqTM™ligand_341139_r2_ | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_388d8f941b_1_run_9.log | 1 | -130.078 | -30.31 | -2.363 | -27.947 | 9 | 0 | -5.761 |
ligand_388d8f941b_1_run_23.log | 1 | -130.057 | -30.384 | 1.467 | -31.851 | 9 | 8.912 | -6.375 |
ligand_388d8f941b_1_run_23.log | 2 | -129.845 | -33.88 | -3.14 | -30.74 | 9 | 9.651 | -6.736 |
Figure 19: MalasmoruponaqTM™_3D Docking Docking Interactions within 5JWA.
MalasmoruponaqTM™ | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_7963ea2b6_1_run_23.log | 1 | -141.493 | -44.331 | -5.061 | -39.27 | 9 | 0 | -7.066 |
ligand_7963ea2b6_1_run_11.log | 1 | -140.308 | -40.317 | 1.757 | -42.074 | 9 | 7.937 | -6.644 |
ligand_7963ea2b6_1_run_11.log | 3 | -138.103 | -45.689 | 3.82 | -49.509 | 9 | 2.036 | -6.628 |
Figure 20: MalasmoruponaqTM™ligand_0323350cd7_1 3D Docking Docking Interactions with (PDB:5T42).
MalasmoruponaqTM™_ ligand_0323350cd7_1 | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_0323350cd7_1_run_17.log | 1 | -132.428 | -31.958 | -7.56 | 24.398 | 9 | 0 | -7.333 |
ligand_0323350cd7_1_run_15.log | 1 | -131.406 | -31.195 | -2.6 | 28.595 | 9 | 9.637 | -7.249 |
ligand_0323350cd7_1_run_3.log | 1 | -130.468 | -31.405 | -5.172 | 26.233 | 9 | 11.349 | -6.983 |
Figure 21a: Structure of Ebola virus nucleoprotein N-terminal fragment bound to a peptide derived from Ebola VP35.
MalasmoruponaqTM™ligand_b91ab3e842_ | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_b91ab3e842_1_run_22.log | 4 | -102.49 | -0.807 | 0 | -0.807 | 9 | 0 | 24.988 |
ligand_b91ab3e842_1_run_22.log | 1 | -102.49 | -0.808 | 0 | -0.808 | 9 | 3.169 | 24.988 |
ligand_b91ab3e842_1_run_22.log | 8 | -102.489 | -0.806 | 0 | -0.806 | 9 | 8.806 | 24.988 |
Figure 22: MalasmoruponaqTM™_937d73c677_1 fragmented compound that binds with some of -10.542 (score), 126.367(T.Energy), – 31.956(I.Energy) within (PDB: 4U2X) Ebola virus VP24 in complex with Karyopherin alpha 5 C-terminus.
MalasmoruponaqTM™_937d73c677_1 | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_937d73c677_1_run_24.log | 1 | 126.367 | -31.956 | -28.665 | -3.291 | 13 | 0 | -10.542 |
ligand_937d73c677_1_run_22.log | 1 | 127.608 | -21.878 | -18.162 | -3.716 | 13 | 10.745 | -8.411 |
ligand_937d73c677_1_run_15.log | 1 | 128.697 | -20.639 | -18.137 | -2.502 | 13 | 8.54 | -8.763 |
Figure 23: MalasmoruponaqTM™_3D Docking Docking Interactions within 5JWA.
MalasmoruponaqTM™_ | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_018c119241_1_run_1.log | 1 | 126.303 | -23.221 | -3.59 | -19.631 | 13 | 0 | -6.719 |
ligand_018c119241_1_run_13.log | 1 | 126.973 | -27.258 | -7.603 | -19.655 | 13 | 7.8 | -7.783 |
ligand_018c119241_1_run_1.log | 4 | 127.06 | -21.963 | -3.775 | -18.188 | 13 | 2.365 | -6.797 |
Figure 24: MalasmoruponaqTM™__ igand_9cd1e4c09f_3D Docking Docking Interactions within 5JWA.
MalasmoruponaqTM™_5LGE_ | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_9cd1e4c09f_1_run_13.log | 1 | 93.406 | -41.149 | -6.106 | -35.043 | 26 | 0 | -6.981 |
ligand_9cd1e4c09f_1_run_5.log | 1 | 93.471 | -32.825 | -0.43 | -32.395 | 26 | 3.364 | -6.555 |
ligand_9cd1e4c09f_1_run_18.log | 1 | 95.952 | -34.99 | -0.372 | -34.618 | 26 | 6.103 | -6.346 |
Figure 25: 3D Docking Docking Interactions of the MalasmoruponaqTM™ with Pyranose 2-oxidase V546C mutant with 2-fluorinated galactose (PDB:4MOQ).
MalasmoruponaqT™ | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_f2baf6a968_1_run_1.log | 1 | 86.719 | -26.604 | -22.653 | -3.951 | 24 | 0 | -8.677 |
ligand_f2baf6a968_1_run_1.log | 2 | 86.734 | -28.123 | -26.41 | -1.713 | 24 | 2.988 | -9.34 |
ligand_f2baf6a968_1_run_1.log | 3 | 87.052 | -26.712 | -22.031 | -4.681 | 24 | 2.074 | -8.418 |
Figure 26: MalasmoruponaqTM™_with the Structure of the Ebola virus envelope protein MPER/TM domain and its interaction with the fusion loop explains their fusion activity (PDB:5T42).
MalasmoruponaqTM™_ ligand_0c92b908ca_1 | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM™ligand_0c92b908ca_1_run_23.log | 1 | -93.737 | -265.495 | -168.542 | -96.953 | 13 | 0 | -40.183 |
MalasmoruponaqTM™ligand_0c92b908ca_1_run_23.log | 3 | -71.278 | -252.228 | -132.826 | -119.402 | 13 | 7.852 | -30.688 |
MalasmoruponaqTM™ligand_0c92b908ca_1_run_14.log | 2 | -70.987 | -250.716 | -121.746 | -128.97 | 13 | 8.965 | -31.35 |
Figure 27: 3D Docking Docking Interactions of the Remdesivir Small Molecule within 4U2X Ebola virus VP24 binding domains in complex with Karyopherin alpha 5 C-terminus Ebola Virus VP24. Remdesivir Targets the Unique NLS Binding Site on Karyopherin Alpha 5 to Selectively Compete with Nuclear Import of Phosphorylated STAT1 with some of 1.680, -13.014 T. and I. Energies respectively.
Remdesivir | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_fa84c29cba_1_run_16.log | 1 | 1.68 | -13.014 | -7.055 | -5.959 | 14 | 0 | -6.722 |
ligand_fa84c29cba_1_run_17.log | 1 | 1.855 | -13.03 | -8.577 | -4.453 | 14 | 8.083 | -6.72 |
ligand_09924344f_1_run_9.log | 1 | 2.128 | -12.816 | -5.491 | -7.325 | 14 | 5.362 | -6.695 |
Figure 27a: Remdesivir 3D Docking Docking Interactions within 5JWA.
Remdesivir | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_09924344f_1_run_9.log | 1 | -8.378 | -29.927 | -6.459 | -23.468 | 14 | 0.000 | -6.852 |
ligand_09924344f_1_run_9.log | 4 | -6.106 | -28.505 | -4.847 | -23.658 | 14 | 3.17 | -6.557 |
ligand_09924344f_1_run_9.log | 8 | -3.625 | -28.083 | -4.983 | -23.1 | 14 | 2.64 | -6.676 |
Figure 27b: Remdesivir 3D Docking Docking Interactions within 4MOQ.
Remdesivir | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
ligand_c43b99a_1_run_9.log | 1 | -9.799 | -29.894 | -14.221 | -15.673 | 14 | 0.000 | -7.648 |
ligand_c43b99a_1_run_17.log | 1 | -9.24 | -28.251 | -17.729 | -10.522 | 14 | 6.017 | -7.996 |
ligand_c43b99a_1_run_3.log | 1 | -9.204 | -28.854 | -10.461 | -18.393 | 14 | 7.7.02 | -7.447 |
Figure 28: for the generation of the Hydrophobic Docking Interactions of the 2 MalasmoruponaqTM™ binding site(s) in 3ZML (glutathione s-transferase e2).
GSH (Glutathione)GSH-A-1222 Interacting Chains: A
Index | Residue | AA | Distance | Ligand Atom | Protein Atom |
1 | 14A | PRO | 3.96 | 3492 | 87 |
2 | 108A | PHE | 3.84 | 3491 | 822 |
Hydrogen Bonds from the
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 55A | ILE | 2.08 | 3.01 | 156.55 | 3495 [Nam] | 403 [O2] | ||
2 | 55A | ILE | 1.98 | 2.88 | 151.62 | 400 [Nam] | 3498 [O2] | ||
3 | 67A | GLU | 1.79 | 2.72 | 150 | 3486 [N3] | 496 [O2] | ||
4 | 68A | SER | 1.77 | 2.74 | 166.26 | 497 [Nam] | 3490 [O.co2] | ||
5 | 112A | ARG | 2.16 | 2.86 | 126.73 | 857 [Ng+] | 3494 [O2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 55A | ILE | 3.73 | 2.87 | 154.71 | 100.38 | 3490 [O.co2] | 403 [O2] | 3639 | |
2 | 67A | GLU | 2.87 | 3.51 | 120.12 | 82.93 | 488 [Nam] | 3490 [O.co2] | 3639 | |
3 | 112A | ARG | 3.55 | 3.31 | 160.80 | 86.10 | 3501 [Nam] | 855 [Ng+] | 3710 | |
4 | 112A | ARG | 3.99 | 3.55 | 126.69 | 118.15 | 858 [Ng+] | 3504 [O.co2] | 3715 |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 41A | HIS | 4.89 | Carboxylate | 3504, 3505 | |
2 | 53A | HIS | 4.12 | Carboxylate | 3504, 3505 | |
3 | 69A | HIS | 4.82 | Carboxylate | 3490, 3489 | |
4 | 112A | ARG | 4.3 | Carboxylate | 3504, 3505 |
GSH-B-1222
Interacting Chains: B
Figure 29: Docking Interactions MalasmoruponaqTM™ binding site(s) in 3ZML (glutathione s-transferase e2).
GSH (Glutathione)GSH-A-1222 Interacting Chains: A
Index | Residue | AA | Distance | Ligand Atom | Protein Atom |
1 | 14B | PRO | 3.97 | 3512 | 1834 |
2 | 108B | PHE | 3.94 | 3511 | 2569 |
Hydrogen Bonds from the
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 55B | ILE | 1.90 | 2.84 | 157.25 | 2147 [Nam] | 3518 [O2] | ||
2 | 55B | ILE | 2.14 | 3.02 | 149.47 | 3515 [Nam] | 2150 [O2] | ||
3 | 67B | GLU | 1.84 | 2.76 | 148.40 | 3506 [N3] | 2243 [O2] | ||
4 | 68B | SER | 1.86 | 2.80 | 158.50 | 2244 [Nam] | 3509 [O.co2] | ||
5 | 112B | ARG | 2.09 | 2.77 | 125.26 | 2604 [Ng+] | 3514 [O2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 41B | HIS | 3.34 | 4.01 | 114.23 | 112.32 | 3525 [O.co2] | 2038 [N2] | 3906 | |
2 | 41B | HIS | 3.53 | 3.85 | 116.36 | 112.25 | 3525 [O.co2] | 2038 [N2] | 3905 | |
3 | 67B | GLU | 2.94 | 3.61 | 112.73 | 84.58 | 2235 [Nam] | 3509 [O.co2] | 3929 | |
4 | 69B | HIS | 3.79 | 3.43 | 140.15 | 101.11 | 3510 [O.co2] | 2259 [N2] | 3978 | |
5 | 112B | ARG | 3.7 | 4.07 | 142.54 | 119 | 2605 [Ng+] | 3525 [O.co2] | 3921 | |
6 | 112B | ARG | 2.71 | 4.07 | 142.54 | 139.76 | 2605 [Ng+] | 3524 [O.co2] | 3921 | |
7 | 112B | ARG | 4.02 | 3.72 | 126.88 | 121.61 | 2605 [Ng+] | 3525 [O.co2] | 3607 | |
8 | 112B | ARG | 3.52 | 3.34 | 163.94 | 83.88 | 3521 [Nam] | 2602 [Ng+] | 3984 |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 41B | HIS | 4.86 | Carboxylate | 3524, 3525 | |
2 | 53B | HIS | 4.16 | Carboxylate | 3524, 3525 | |
3 | 69B | HIS | 4.94 | Carboxylate | 3509, 3510 | |
4 | 112B | ARG | 4.19 | Carboxylate | 3524, 3525 |
Metal Complexes MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase).
ION MG (magnesium ion) MG-A-7 Interacting Chains: A
Index | Residue | AA | Metal | Target | Distance | Location |
Complex 1: Mg, octahedral (6) | ||||||
1 | 26A | HOH | 7385 | 7404 | 2.02 | water |
2 | 250A | GLY | 7385 | 442 | 2.06 | protein.mainchain |
3 | 1099A | HOH | 7385 | 7584 | 2.14 | water |
4 | 1212A | HOH | 7385 | 7697 | 2.21 | water |
5 | 1520A | HOH | 7385 | 8005 | 2.1 | water |
6 | 1521A | HOH | 7385 | 8006 | 2.14 | water |
MALASMORUPONAQTM SMALL MOLECULE
GOL (Glycerol)
GOL-A-1086
Interacting Chains: A
Figure 31: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase).
ION MG (magnesium ion) MG-A-7 Interacting Chains: A
Index |
Residue |
AA |
Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 479A | LYS | 2 | 3 | 163.98 | 2281 [N3] | 7354 [O3] | ||
2 | 880A | TYR | 2.66 | 3.58 | 157.63 | 7354 [O3] | 5605 [O2] | ||
3 | 888A | ASP | 1.88 | 2.87 | 175.63 | 5673 [Nam] | 7350 [O3] | ||
4 | 888A | ASP | 3.26 | 3.76 | 113.93 | 7350 [O3] | 5676 [O2] | ||
5 | 895A | ARG | 2.3 | 3.16 | 144.37 | 5747 [Ng+] | 7352 [O3] | ||
6 | 895A | ARG | 2.15 | 3.05 | 150.63 | 5748 [Ng+] | 7352 [O3] |
Water Bridges
Index |
Residue |
AA |
Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 925A | TYR | 2.94 | 3.72 | 101.71 | 99.74 | 5991 [O3] | 7354 [O3] | 7397 |
GOL-A-2
Interacting Chains: A
Figure 32: Hydrogen Bonds from the. MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase).
ION MG (magnesium ion) MG-A-7 Interacting chains: A
Index |
Residue |
AA |
Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 765A | TYR | 3.47 | 4.05 | 120.99 | 7356 [O3] | 4661 [O3] |
Water Bridges
Index |
Residue |
AA |
Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 826A | SER | 4.09 | 2.98 | 126.34 | 117 | 7358 [O3] | 5160 [O2] | 8153 | |
2 | 827A | LEU | 2.94 | 2.98 | 126.34 | 73.86 | 7358 [O3] | 5166 [O2] | 8153 |
GOL-A-3
Interacting Chains: A
Figure 33: Water Bridges MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase).
ION MG (magnesium ion) MG-A-7 Interacting chains: A
Index |
Residue |
AA |
Dist. A-W |
Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 676A | LYS | 3.47 | 2.55 | 108.61 | 86.47 | 3941 [N3] | 7366 [O3] | 8171 | |
2 | 743A | GLU | 2.95 | 2.69 | 158.85 | 74.82 | 4471 [O3] | 7362 [O3] | 7481 |
GOL-A-4
Interacting Chains: A
Figure 34: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase).
ION MG (magnesium ion) MG-A-7 Interacting Chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 471A | ASN | 3.21 | 3.52 | 100.09 | 2226 [Nam] | 7370 [O3] | ||
2 | 473A | ASN | 1.92 | 2.89 | 167.98 | 2239 [Nam] | 7370 [O3] | ||
3 | 473A | ASN | 3.06 | 3.89 | 145.28 | 7370 [O3] | 2238 [O2] | ||
4 | 474A | SER | 2.86 | 3.18 | 100.21 | 2245 [O3] | 7368 [O3] | ||
5 | 489A | ARG | 2.33 | 3.04 | 128.76 | 2365 [Ng+] | 7368 [O3] | ||
6 | 489A | ARG | 3.08 | 3.89 | 142.31 | 7368 [O3] | 2362 [Ng+] | ||
7 | 997A | ARG | 3.03 | 3.52 | 111.85 | 6598 [Ng+] | 7370 [O3] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 460A | GLY | 2.72 | 3.61 | 112.4 | 72.86 | 2137 [Nam] | 7372 [O3] | 8089 | |
2 | 1038A | GLN | 3.83 | 4 | 148.76 | 99.92 | 7372 [O3] | 6929 [O2] | 7907 |
GOL-A-5
Interacting Chains: A
Figure 35: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase).
ION MG (magnesium ion) MG-A-7 Interacting Chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 934A | SER | 2.22 | 3.00 | 137.42 | 6061 [O3] | 7378 [O3] | ||
2 | 934A | SER | 2.10 | 3.00 | 155.03 | 7378 [O3] | 6061 [O3] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 962A | GLU | 2.84 | 2.67 | 143.54 | 72.19 | 6305 [O3] | 7374 [O3] | 7601 | |
2 | 962A | GLU | 2.82 | 3.32 | 143.72 | 75.59 | 7376 [O3] | 6301 [O2] | 7601 |
GOL-A-6
Interacting Chains: A
Figure 36: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase).
ION MG (magnesium ion) MG-A-7 Interacting Chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 576A | THR | 3.19 | 4.03 | 146.25 | 7384 [O3] | 3091 [O2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 460A | GLY | 3.88 | 3.61 | 112.40 | 71.76 | 2137 [Nam] | 7382 [O3] | 8089 |
MalasmoruponaqTM™ small molecule+ION
BES (composite ligand, containing ubenimex)
BES-A-1085
Composite ligand consists of BES:A:1085, ZN:A:1.
Interacting chains: A
Figure 37: for the generation of the Hydrophobic Docking Interactions of the MalasmoruponaqTM™ binding site(s) in 3EBH (m1 family aminopeptidase).
ION MG (magnesium ion) MG-A-7 Interacting Chains: A
Index | Residue | AA | Distance | Ligand Atom | Protein Atom |
1 | 319A | GLU | 3.84 | 7331 | 997 |
2 | 459A | VAL | 3.74 | 7334 | 2135 |
3 | 459A | VAL | 3.73 | 7332 | 2136 |
4 | 493A | VAL | 3.94 | 7345 | 2399 |
5 | 496A | HIS | 3.70 | 7345 | 2415 |
6 | 575A | TYR | 3.76 | 7334 | 3080 |
7 | 580A | TYR | 3.70 | 7344 | 3124 |
Hydrogen Bonds from the
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 319A | GLU | 2.86 | 3.80 | 152.12 | 7327 [N3] | 1001 [O3] | ||
2 | 460A | GLY | 1.70 | 2.55 | 141.07 | 2137 [Nam] | 7348 [O.co2] | ||
3 | 461A | ALA | 2.52 | 3.44 | 155.41 | 7340 [Nam] | 2144 [O2] | ||
4 | 461A | ALA | 2.11 | 3.03 | 154.83 | 2141 [Nam] | 7348 [O.co2] | ||
5 | 461A | ALA | 2.64 | 3.52 | 157.40 | 7348 [O.co2] | 2144 [O2] | ||
6 | 518A | LYS | 3.02 | 3.39 | 102.52 | 2620 [N3] | 7327 [N3] | ||
7 | 580A | TYR | 1.87 | 2.71 | 148.26 | 3127 [O3] | 7339 [O2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 489A | ARG | 3.37 | 3.52 | 130.10 | 119.28 | 2365 [Ng+] | 7347 [O.co2] | 7862 |
π-Stacking
Index | Residue | AA | Distance | Angle | Offset | Type | Ligand Atoms |
1 | 575A | TYR | 3.94 | 13.86 | 1.58 | P | 7330, 7331, 7332, 7333, 7334, 7335 |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 489A | ARG | 5.39 | Carboxylate | 7347, 7348 |
Metal Complexes
Index | Residue | AA | Metal | Target | Distance | Location |
Complex 1: Zn, square.planar (4) | ||||||
1 | 496A | HIS | 7326 | 2420 | 2.02 | protein.sidechain |
2 | 500A | HIS | 7326 | 2462 | 2.04 | protein.sidechain |
3 | 519A | GLU | 7326 | 2628 | 2.02 | protein.sidechain |
4 | 519A | GLU | 7326 | 2629 | 2.97 | protein.sidechain |
Figure 38: water Bridges19 MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting Chains: A
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 203A | VAL | 2.62 | 3.13 | 126.17 | 77.46 | 3117 [O3] | 1276 [O2] | 3223 | |
2 | 205A | CYS | 4.08 | 3.13 | 126.17 | 71.57 | 3117 [O3] | 1284 [N2] | 3223 |
EDO-A-306
Interacting Chains: A
Figure 39: Hydrogen Bonds from the. MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 95A | ASN | 2.65 | 3.29 | 124.35 | 3121 [O3] | 438 [N2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 95A | ASN | 3.13 | 3.68 | 146.60 | 82.81 | 445 [Nam] | 3121 [O3] | 3271 |
EDO-A-307
Interacting Chains: A, B
Figure 40: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A.
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 83A | GLU | 1.45 | 2.33 | 152.95 | 347 [O3] | 3127 [O3] | ||
2 | 83B | GLU | 3.21 | 3.90 | 129.90 | 3127 [O3] | 1892 [O3] | ||
3 | 84A | ASN | 3.42 | 3.87 | 111.05 | 3125 [O3] | 355 [O2] | ||
4 | 150A | ARG | 1.94 | 2.82 | 147.50 | 884 [Ng+] | 3125 [O3] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 83B | GLU | 2.96 | 2.57 | 144.81 | 79.19 | 1892 [O3] | 3127 [O3] | 3391 | |
2 | 152A | ASN | 3.01 | 4.01 | 135.83 | 75.87 | 902 [Nam] | 3125 [O3] | 3274 |
EDO-A-309
Interacting Chains: A
Figure 41: Water Bridges: MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting Chains: A
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 99A | GLU | 2.98 | 3.96 | 101.73 | 87.63 | 3135 [O3] | 476 [O2] | 3317 | |
2 | 102A | ARG | 3.13 | 3.70 | 117.38 | 86.90 | 3135 [O3] | 500 [Ng+] | 3307 | |
3 | 102A | ARG | 3.81 | 3.96 | 101.73 | 73.04 | 3135 [O3] | 493 [N2] | 3317 |
EDO-B-305
Interacting Chains: B
Figure 42: Hydrogen Bonds from the: MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting Chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 95B | ASN | 2.37 | 3.21 | 142.68 | 1989 [Nam] | 3159 [O3] | ||
2 | 96B | ASN | 3.27 | 3.82 | 116.64 | 1990 [Nam] | 3157 [O3] |
EDO-B-306
Interacting Chains: B
Figure 43: Hydrogen Bonds from the:MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting Chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 211B | LYS | 3.04 | 3.53 | 112.43 | 3161 [O3] | 2870 [O2] | ||
2 | 213B | ASN | 1.71 | 2.69 | 176.74 | 2878 [Nam] | 3161 [O3] | ||
3 | 214B | LEU | 2.22 | 3.06 | 142.73 | 2886 [Nam] | 3163 [O3] |
EDO-B-307
Interacting Chains: B
Figure 43: Hydrogen Bonds from the: MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 92B | ILE | 3.10 | 3.92 | 143.07 | 3165 [O3] | 1960 [O2] | ||
2 | 95B | ASN | 2.88 | 3.33 | 108.55 | 1982 [Nam] | 3167 [O3] | ||
3 | 96B | ASN | 2.10 | 3.07 | 169.12 | 1990 [Nam] | 3167 [O3] |
EDO-B-308
Interacting Chains: B
Figure 44: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 192B | GLN | 2.60 | 3.54 | 160.46 | 2728 [Nam] | 3171 [O3] | ||
2 | 220B | TRP | 2.03 | 3.01 | 170.96 | 2930 [Nam] | 3169 [O3] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 221B | GLU | 3.65 | 2.88 | 149.85 | 84.07 | 2944 [Nam] | 3169 [O3] | 3454 |
EDO-B-309
Interacting Chains: B
Figure 45: Water Bridges MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 99B | GLU | 3.17 | 3.85 | 118.75 | 76.57 | 3175 [O3] | 2024 [O3] | 3348 | |
2 | 139B | GLN | 3.99 | 3.85 | 118.75 | 122.36 | 3175 [O3] | 2329 [O2] | 3348 |
EDO-B-310
Interacting Chains: B
Figure 46: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 168B | ILE | 2.29 | 3.24 | 160.25 | 2552 [Nam] | 3179 [O3] |
EDO-B-311
Interacting Chains: B
Figure 47: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 102B | ARG | 2.02 | 2.93 | 152.29 | 2042 [Nam] | 3181 [O3] | ||
2 | 105B | SER | 1.79 | 2.73 | 164.23 | 2076 [O3] | 3183 [O3] | ||
3 | 105B | SER | 2.31 | 2.73 | 105.84 | 3183 [O3] | 2076 [O3] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 99B | GLU | 2.76 | 2.88 | 160.22 | 82.44 | 3181 [O3] | 2025 [O2] | 3375 | |
2 | 106B | ASP | 3.17 | 3.56 | 104.45 | 71.48 | 2077 [Nam] | 3183 [O3] | 3359 |
SO4 (sulfate) SO4-A-302 Interacting Chains: A
Figure 48: Salt Bridges from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 61A | ARG | 4.18 | Sulfate | 3101, 3101 |
SO4-A-303 Salt Bridges from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein), selected ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A.
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 141A | ARG | 4.50 | Sulfate | 3106, 3106 | |
2 | 181A | ARG | 4.13 | Sulfate | 3106, 3106 |
SO4-A-304 Interacting Chains: A
Figure 49: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 106A | ASP | 3.16 | 4.05 | 154.22 | 3114 [O3] | 535 [O2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 102A | ARG | 2.99 | 3.88 | 130.85 | 102.10 | 503 [Ng+] | 3112 [O2] | 3307 | |
2 | 102A | ARG | 3.35 | 3.02 | 142.77 | 98.89 | 503 [Ng+] | 3114 [O3] | 3405 | |
3 | 106A | ASP | 4.06 | 2.74 | 123.49 | 111.95 | 534 [O3] | 3114 [O3] | 3306 |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 102A | ARG | 4.84 | Sulfate | 3111, 3111 |
SO4-B-302 Interacting Chains: B
Figure 50: Salt Bridges from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 141B | ARG | 4.69 | Sulfate | 3141, 3141 | |
2 | 181B | ARG | 4.21 | Sulfate | 3141, 3141 |
SO4-B-303
Interacting Chains: B
Figure 51: Salt Bridges from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 61B | ARG | 4.08 | Sulfate | 3146, 3146 |
SO4-B-304
Interacting Chains: B
Figure 51: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4F1K (thrombospondin related anonymous protein).
Selected Ligands: CL MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-305 Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 106B | ASP | 1.93 | 2.90 | 165.27 | 2077 [Nam] | 3155 [O3] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 102B | ARG | 2.87 | 3.79 | 126.01 | 100.64 | 2052 [Ng+] | 3154 [O3] | 3459 | |
2 | 102B | ARG | 2.50 | 3.79 | 126.01 | 139.36 | 2052 [Ng+] | 3152 [O2] | 3459 | |
3 | 102B | ARG | 4.09 | 3.08 | 148.38 | 107.71 | 2052 [Ng+] | 3155 [O3] | 3416 | |
4 | 107B | ALA | 3.73 | 2.98 | 152.67 | 90.71 | 2085 [Nam] | 3155 [O3] | 3359 |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 102B | ARG | 4.92 | Sulfate | 3151, 3151 |
Figure 52: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI.
EDO (Ethylene Glycol)EDO-A-302 Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 134A | ARG | 2.84 | 3.26 | 106.42 | 1064 [Ng+] | 3858 [O3] | ||
2 | 134A | ARG | 3.14 | 3.53 | 105.15 | 1063 [Ng+] | 3858 [O3] | ||
3 | 139A | THR | 3.19 | 3.95 | 137.02 | 1104 [O3] | 3858 [O3] |
EDO-A-303
Interacting Chains: A
Figure 53: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI.
EDO (Ethylene Glycol) EDO-A-302Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 22A | SER | 3.01 | 3.81 | 140.32 | 3860 [O3] | 165 [O2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 22A | SER | 3.71 | 3.14 | 119.07 | 106.84 | 167 [O3] | 3862 [O3] | 3985 |
EDO-A-304
Interacting Chains: A, B
Figure 54: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI.
EDO (Ethylene Glycol) EDO-A-302Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 45A | SER | 3.74 | 4.05 | 102.10 | 348 [O3] | 3866 [O3] | ||
2 | 65A | ASN | 2.43 | 3.04 | 119.71 | 520 [Nam] | 3864 [O3] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 45A | SER | 3.74 | 2.78 | 163.26 | 99.06 | 3866 [O3] | 348 [O3] | 3984 | |
2 | 76B | GLY | 3.61 | 2.78 | 163.26 | 128.95 | 3866 [O3] | 2515 [O2] | 3984 | |
3 | 78A | VAL | 3.62 | 2.78 | 168.62 | 78.24 | 3864 [O3] | 611 [O2] | 3982 |
EDO-B-302
Interacting Chains: B
Figure 55: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI.
EDO (Ethylene Glycol)EDO-A-302Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 45B | SER | 3.62 | 3.93 | 101.45 | 2270 [O3] | 3873 [O3] | ||
2 | 45B | SER | 3.07 | 3.93 | 148.97 | 3873 [O3] | 2270 [O3] | ||
3 | 65B | ASN | 3.00 | 3.55 | 116.44 | 2437 [Nam] | 3875 [O3] | ||
4 | 65B | ASN | 2.94 | 3.34 | 106.17 | 3875 [O3] | 2433 [O2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 78B | VAL | 2.60 | 3.04 | 175.83 | 82.13 | 2525 [Nam] | 3875 [O3] | 4138 |
EDO-B-303
Interacting Chains: B
Figure 56: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI.
EDO (Ethylene Glycol)EDO-A-302Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 10B | ASN | 2.17 | 3.07 | 150.75 | 1994 [Nam] | 3879 [O3] | ||
2 | 12B | LYS | 2.07 | 2.93 | 139.57 | 2017 [N3] | 3877 [O3] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 12B | LYS | 3.25 | 3.96 | 155.61 | 127.67 | 3877 [O3] | 2017 [N3] | 4265 | |
2 | 97B | GLU | 4.10 | 3.96 | 155.61 | 109.07 | 3877 [O3] | 2678 [O3] | 4265 |
EDO-B-304
Interacting Chains: B
Figure 57: Water Bridges MalasmoruponaqTM™ binding site(s) in 4YWI.
EDO (Ethylene Glycol)EDO-A-302Interacting chains: A
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 182B | GLN | 3.90 | 3.58 | 126.78 | 95.80 | 3881 [O3] | 3347 [O2] | 4218 | |
2 | 182B | GLN | 3.41 | 2.94 | 170.59 | 82.41 | 3348 [Nam] | 3881 [O3] | 4236 | |
3 | 223B | GLN | 3.27 | 3.58 | 126.78 | 106.13 | 3881 [O3] | 3658 [O2] | 4218 |
EDO-B-305
Interacting Chains: B
Figure 58: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI.
EDO (Ethylene Glycol)EDO-A-302 Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 14B | ASN | 2.26 | 2.66 | 103.51 | 3887 [O3] | 2027 [O2] | ||
2 | 19B | SER | 2.49 | 3.40 | 157.38 | 3885 [O3] | 2063 [O2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 23B | LEU | 3.58 | 3.84 | 106.04 | 93.55 | 2087 [Nam] | 3885 [O3] | 4232 |
SO4 (sulfate) SO4-A-301 Interacting Chains: A
Figure 59: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI.
MalasmoruponaqTM™ small molecule EDO (Ethylene Glycol) EDO-A-302 Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 232A | GLY | 3.48 | 4.05 | 118.66 | 1796 [Nam] | 3853 [O3] | ||
2 | 233A | ASN | 2.14 | 3.08 | 159.73 | 1800 [Nam] | 3852 [O2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 210A | GLY | 3.06 | 2.78 | 124.99 | 73.62 | 3853 [O3] | 1637 [O2] | 3981 | |
2 | 212A | VAL | 3.59 | 2.98 | 162.35 | 101.49 | 1644 [Nam] | 3851 [O2] | 3981 | |
3 | 212A | VAL | 2.66 | 3.99 | 125.98 | 103.29 | 1644 [Nam] | 3851 [O2] | 3921 | |
4 | 212A | VAL | 4.00 | 3.99 | 125.98 | 81.84 | 1644 [Nam] | 3852 [O2] | 3921 | |
5 | 233A | ASN | 4.06 | 3.88 | 148.28 | 83.82 | 1807 [Nam] | 3852 [O2] | 4075 | |
6 | 234A | ALA | 3.67 | 3.67 | 105.79 | 108.78 | 1808 [Nam] | 3851 [O2] | 4083 |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 12A | LYS | 5.01 | Sulfate | 3850, 3850 |
SO4-B-301 Interacting Chains: B
Figure 60: Hydrogen Bonds from the MalasmoruponaqTM™ binding site(s) in 4YWI.
MalasmoruponaqTM™ EDO (Ethylene Glycol) EDO-A-302Interacting chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 211B | SER | 3.48 | 3.95 | 112.09 | 3871 [O3] | 3574 [O3] | ||
2 | 232B | GLY | 3.32 | 3.93 | 121.57 | 3723 [Nam] | 3868 [O2] | ||
3 | 233B | ASN | 1.93 | 2.89 | 165.02 | 3727 [Nam] | 3870 [O3] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 212B | VAL | 3.52 | 3.09 | 152.21 | 108.59 | 3575 [Nam] | 3869 [O2] | 4141 | |
2 | 212B | VAL | 2.61 | 3.09 | 152.21 | 71.12 | 3575 [Nam] | 3868 [O2] | 4141 | |
3 | 212B | VAL | 4.05 | 3.99 | 131.42 | 116.54 | 3575 [Nam] | 3868 [O2] | 4185 | |
4 | 212B | VAL | 3.73 | 3.99 | 131.42 | 81.77 | 3575 [Nam] | 3870 [O3] | 4185 | |
5 | 233B | ASN | 3.77 | 3.91 | 157.19 | 80.67 | 3734 [Nam] | 3869 [O2] | 4290 |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 12B | LYS | 4.99 | Sulfate | 3867, 3867 |
Figure 61: MalasmoruponaqTM™ Hydrophobic Docking Interactions of the 2 MalasmoruponaqTM™ binding site(s) in 1V0P (cell division control protein 2 homolog).
MalasmoruponaqTM™ small molecule PVB (purvalanol B)PVB-A-1287 Interacting chains: A
Index | Residue | AA | Distance | Ligand Atom | Protein Atom |
1 | 10A | ILE | 3.64 | 4324 | 85 |
2 | 18A | VAL | 3.77 | 4340 | 139 |
3 | 18A | VAL | 3.84 | 4336 | 138 |
4 | 30A | ALA | 3.79 | 4340 | 239 |
5 | 63A | VAL | 3.86 | 4341 | 506 |
6 | 79A | PHE | 3.80 | 4340 | 642 |
7 | 132A | LEU | 3.73 | 4341 | 1070 |
8 | 142A | ALA | 3.42 | 4341 | 1150 |
Hydrogen Bonds from the
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 82A | LEU | 2.04 | 3.01 | 168.27 | 666 [Nam] | 4320 [N2] | ||
2 | 82A | LEU | 1.80 | 2.76 | 161.73 | 4322 [Npl] | 669 [O2] | ||
3 | 85A | ASP | 2.67 | 3.42 | 134.00 | 4339 [O3] | 697 [O2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 32A | LYS | 3.76 | 3.70 | 149.40 | 83.69 | 4333 [Npl] | 256 [N3] | 4470 | |
2 | 32A | LYS | 3.70 | 3.76 | 166.60 | 75.55 | 256 [N3] | 4333 [Npl] | 4470 |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 88A | LYS | 4.20 | Carboxylate | 4331, 4332 |
PVB-B-1287 Interacting Chains: B
Figure. 62 MalasmoruponaqTM™ Hydrophobic Docking Interactions of the 2 MalasmoruponaqTM™ binding site(s) in 1V0P (cell division control protein 2 homolog).
MalasmoruponaqTM™ SMALL MOLECULEPVB (purvalanol B) PVB-A-1287 Interacting chains: A
Index | Residue | AA | Distance | Ligand Atom | Protein Atom |
1 | 10B | ILE | 3.55 | 4354 | 2310 |
2 | 18B | VAL | 3.82 | 4370 | 2364 |
3 | 18B | VAL | 3.90 | 4366 | 2365 |
4 | 30B | ALA | 3.96 | 4370 | 2464 |
5 | 63B | VAL | 3.91 | 4371 | 2639 |
6 | 79B | PHE | 3.67 | 4370 | 2746 |
7 | 142B | ALA | 3.47 | 4371 | 3254 |
Hydrogen Bonds from the
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 82B | LEU | 2.04 | 3.02 | 172.45 | 2770 [Nam] | 4350 [N2] | ||
2 | 82B | LEU | 1.65 | 2.61 | 162.72 | 4352 [Npl] | 2773 [O2] | ||
3 | 85B | ASP | 2.20 | 3.04 | 147.91 | 2801 [O3] | 4369 [O3] | ||
4 | 129B | GLN | 2.56 | 3.17 | 120.07 | 3151 [Nam] | 4369 [O3] | ||
5 | 129B | GLN | 2.16 | 2.85 | 127.08 | 4369 [O3] | 3146 [O2] |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 88B | LYS | 4.28 | Carboxylate | 4362, 4361 |
Figure 63: MalasmoruponaqTM™ Hydrophobic Docking Interactions of the 6 MalasmoruponaqTM™ binding site(s) in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase).
Small molecule 1CY (cycloguanil)1CY-A-609 Interacting chains: A
Index | Residue | AA | Distance | Ligand Atom | Protein Atom |
1 | 16A | VAL | 3.60 | 9057 | 126 |
2 | 46A | LEU | 3.79 | 9057 | 361 |
3 | 58A | PHE | 3.59 | 9058 | 463 |
4 | 108A | THR | 3.77 | 9061 | 792 |
5 | 164A | ILE | 3.62 | 9063 | 1266 |
Hydrogen Bonds from the
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 14A | ILE | 2.03 | 2.97 | 158.95 | 9056 [Npl] | 110 [O2] | ||
2 | 15A | CYS | 1.99 | 2.98 | 179.32 | 9055 [Npl] | 118 [O2] | ||
3 | 170A | TYR | 2.91 | 3.32 | 108.18 | 1306 [O3] | 9056 [Npl] | ||
4 | 185A | THR | 3.12 | 3.66 | 117.13 | 1441 [O3] | 9055 [Npl] |
π-Stacking
Index | Residue | AA | Distance | Angle | Offset | Type | Ligand Atoms |
1 | 58A | PHE | 4.97 | 74.30 | 1.93 | T | 9059, 9060, 9061, 9062, 9063, 9064 |
2 | 58A | PHE | 4.30 | 29.55 | 1.25 | P | 9049, 9050, 9051, 9052, 9053, 9054 |
Halogen Bonds
Index | Residue | AA | Distance | Donor Angle | Acceptor Angle | Donor Atom | Acceptor Atom |
1 | 108A | THR | 3.83 | 136.65 | 117.23 | 9065 [Cl] | 789 [O2] |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 54A | ASP | 3.47 | Guanidine | 9049, 9051, 9055 |
1CY-B-709
Interacting Chains: B
Figure 64: MalasmoruponaqTM™ Hydrophobic Docking Interactions in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase.
Index | Residue | AA | Distance | Ligand Atom | Protein Atom |
1 | 16B | VAL | 3.49 | 9142 | 4641 |
2 | 58B | PHE | 3.47 | 9143 | 4977 |
3 | 164B | ILE | 3.70 | 9148 | 5774 |
Hydrogen Bonds from the
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 14B | ILE | 1.88 | 2.85 | 167.78 | 9141 [Npl] | 4625 [O2] | ||
2 | 185B | THR | 2.67 | 3.21 | 115.52 | 5949 [O3] | 9140 [Npl] | ||
3 | 185B | THR | 2.63 | 3.21 | 117.28 | 9140 [Npl] | 5949 [O3] |
π-Stacking
Index | Residue | AA | Distance | Angle | Offset | Type | Ligand Atoms |
1 | 58B | PHE | 4.70 | 16.00 | 1.56 | P | 9134, 9135, 9136, 9137, 9138, 9139 |
2 | 58B | PHE | 5.18 | 83.11 | 1.94 | T | 9144, 9145, 9146, 9147, 9148, 9149 |
Halogen Bonds
Index | Residue | AA | Distance | Donor Angle | Acceptor Angle | Donor Atom | Acceptor Atom |
1 | 108B | THR | 3.23 | 144.12 | 126.76 | 9150 [Cl] | 5297 [O2] |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 54B | ASP | 3.49 | Guanidine | 9134, 9140, 9136 |
NDP (NADP) NDP-A-610
Interacting Chains: A
Figure 65: MalasmoruponaqTM™ Hydrophobic Docking Interactions in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase.
Index | Residue | AA | Distance | Ligand Atom | Protein Atom |
1 | 108A | THR | 3.92 | 9108 | 792 |
2 | 170A | TYR | 3.96 | 9107 | 1304 |
Hydrogen Bonds from the
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 16A | VAL | 2.20 | 3.00 | 136.31 | 121 [Nam] | 9105 [O2] | ||
2 | 40A | LEU | 2.08 | 3.05 | 168.06 | 9106 [Nam] | 318 [O2] | ||
3 | 42A | ASN | 3.26 | 3.68 | 108.25 | 327 [Nam] | 9097 [O3] | ||
4 | 44A | GLY | 2.62 | 3.45 | 143.43 | 9099 [O3] | 347 [O2] | ||
5 | 105A | GLY | 3.60 | 4.01 | 107.60 | 764 [Nam] | 9068 [O3] | ||
6 | 105A | GLY | 3.46 | 4.06 | 122.68 | 9068 [O3] | 767 [O2] | ||
7 | 106A | ARG | 2.01 | 2.93 | 154.39 | 768 [Nam] | 9072 [O3] | ||
8 | 107A | THR | 2.75 | 3.65 | 152.83 | 779 [Nam] | 9069 [O3] | ||
9 | 107A | THR | 2.99 | 3.41 | 107.67 | 784 [O3] | 9088 [O3] | ||
10 | 108A | THR | 2.61 | 3.31 | 128.31 | 786 [Nam] | 9068 [O3] | ||
11 | 128A | SER | 1.95 | 2.85 | 153.20 | 9113 [O3] | 959 [O3] | ||
12 | 129A | ARG | 2.05 | 2.96 | 153.12 | 960 [Nam] | 9111 [O2] | ||
13 | 130A | THR | 3.61 | 3.90 | 100.35 | 976 [O3] | 9112 [O3] | ||
14 | 130A | THR | 2.35 | 3.32 | 167.63 | 971 [Nam] | 9111 [O2] | ||
15 | 166A | GLY | 2.27 | 3.05 | 135.22 | 1271 [Nam] | 9068 [O3] | ||
16 | 167A | SER | 2.48 | 3.28 | 137.89 | 1275 [Nam] | 9092 [O3] | ||
17 | 168A | VAL | 1.76 | 2.73 | 165.85 | 1281 [Nam] | 9090 [O2] | ||
18 | 169A | VAL | 2.43 | 3.36 | 158.97 | 1288 [Nam] | 9067 [O2] | ||
19 | 172A | GLU | 1.86 | 2.80 | 157.39 | 9083 [Npl] | 1323 [O3] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor | Donor Atom | Acceptor Atom | Water Atom |
1 | 41A | GLY | 4.07 | 2.89 | 147.40 | 82.86 | 9097 [O3] | 326 [O2] | 9277 | |
2 | 44A | GLY | 2.89 | 2.88 | 160.76 | 97.07 | 344 [Nam] | 9097 [O3] | 9277 | |
3 | 129A | ARG | 2.62 | 2.54 | 141.49 | 77.08 | 969 [Ng+] | 9111 [O2] | 9250 | |
4 | 129A | ARG | 3.95 | 2.62 | 156.70 | 79.23 | 969 [Ng+] | 9074 [O3] | 9228 | |
5 | 129A | ARG | 3.48 | 3.97 | 115.01 | 97.32 | 969 [Ng+] | 9074 [O3] | 9311 | |
6 | 129A | ARG | 4.10 | 3.38 | 124.63 | 104.49 | 970 [Ng+] | 9086 [N2] | 9228 | |
7 | 129A | ARG | 3.73 | 2.88 | 131.52 | 112.55 | 970 [Ng+] | 9083 [Npl] | 9296 | |
8 | 129A | ARG | 2.82 | 2.88 | 131.52 | 100.41 | 970 [Ng+] | 9084 [N2] | 9296 | |
9 | 129A | ARG | 3.62 | 3.39 | 161.33 | 111.75 | 970 [Ng+] | 9083 [Npl] | 9345 | |
10 | 129A | ARG | 3.35 | 3.39 | 161.33 | 90.70 | 970 [Ng+] | 9080 [N2] | 9345 | |
11 | 146A | VAL | 3.26 | 2.87 | 165.38 | 89.57 | 1109 [Nam] | 9083 [Npl] | 9404 |
π-Cation Docking Interactions
Index | Residue | AA | Distance | Offset | Protein charged | Ligand Group | Ligand Atoms |
1 | 129A | ARG | 3.61 | 1.25 | Aromatic | 9081, 9082, 9084, 9085, 9086, 9087 |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 106A | ARG | 4.17 | Phosphate | 9110, 9110, 9076, 9111, 9112, 9113 |
NDP-B-710 Interacting Chains: B
Figure 66: MalasmoruponaqTM™ Hydrophobic Docking Interactions in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase.
Index | Residue | AA | Distance | Ligand Atom | Protein Atom |
1 | 108B | THR | 3.91 | 9193 | 5300 |
2 | 170B | TYR | 3.93 | 9192 | 5812 |
Hydrogen Bonds from the
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 16B | VAL | 2.95 | 3.80 | 145.52 | 4636 [Nam] | 9191 [Nam] | ||
2 | 40B | LEU | 2.49 | 3.47 | 179.05 | 9191 [Nam] | 4833 [O2] | ||
3 | 42B | ASN | 3.51 | 3.82 | 101.07 | 4842 [Nam] | 9182 [O3] | ||
4 | 44B | GLY | 3.18 | 3.57 | 105.69 | 4859 [Nam] | 9182 [O3] | ||
5 | 44B | GLY | 2.30 | 3.14 | 143.65 | 9184 [O3] | 4862 [O2] | ||
6 | 105B | GLY | 3.26 | 3.63 | 104.53 | 5272 [Nam] | 9153 [O3] | ||
7 | 105B | GLY | 2.99 | 3.62 | 123.83 | 9153 [O3] | 5275 [O2] | ||
8 | 106B | ARG | 2.32 | 3.25 | 158.45 | 5276 [Nam] | 9157 [O3] | ||
9 | 107B | THR | 3.21 | 3.55 | 102.41 | 5292 [O3] | 9173 [O3] | ||
10 | 107B | THR | 2.87 | 3.75 | 148.49 | 5287 [Nam] | 9154 [O3] | ||
11 | 108B | THR | 1.99 | 2.86 | 146.01 | 5294 [Nam] | 9153 [O3] | ||
12 | 108B | THR | 1.56 | 2.51 | 164.57 | 5299 [O3] | 9153 [O3] | ||
13 | 128B | SER | 1.86 | 2.53 | 123.67 | 9198 [O3] | 5467 [O3] | ||
14 | 129B | ARG | 2.52 | 3.40 | 148.65 | 5468 [Nam] | 9198 [O3] | ||
15 | 130B | THR | 2.64 | 3.58 | 159.31 | 5479 [Nam] | 9198 [O3] | ||
16 | 166B | GLY | 2.25 | 3.04 | 135.83 | 5779 [Nam] | 9152 [O2] | ||
17 | 167B | SER | 2.32 | 3.19 | 147.18 | 5783 [Nam] | 9177 [O3] | ||
18 | 168B | VAL | 1.79 | 2.72 | 156.18 | 5789 [Nam] | 9175 [O2] | ||
19 | 169B | VAL | 2.76 | 3.66 | 151.40 | 5796 [Nam] | 9152 [O2] | ||
20 | 170B | TYR | 2.21 | 3.02 | 145.02 | 5814 [O3] | 9190 [O2] | ||
21 | 172B | GLU | 2.27 | 3.15 | 148.20 | 9168 [Npl] | 5831 [O2] |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 106B | ARG | 4.40 | Phosphate | 9195, 9195, 9161, 9196, 9197, 9198 |
UMP (22′-deoxyuridylic acid)UMP-A-611 Interacting Chains: A, B
Figure 67: MalasmoruponaqTM™ Hydrophobic Docking Interactions of the in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase.
Index | Residue | AA | Distance | Ligand Atom | Protein Atom |
1 | 513A | ASP | 3.93 | 9123 | 3772 |
Hydrogen Bonds from the
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 509A | GLN | 3.14 | 3.66 | 114.21 | 3744 [Nam] | 9120 [O2] | ||
2 | 511A | SER | 1.68 | 2.57 | 150.47 | 3761 [O3] | 9132 [O3] | ||
3 | 511A | SER | 2.02 | 2.57 | 114.29 | 9132 [O3] | 3761 [O3] | ||
4 | 513A | ASP | 1.87 | 2.79 | 155.38 | 3768 [Nam] | 9120 [O2] | ||
5 | 518A | VAL | 3.58 | 3.93 | 103.51 | 3800 [Nam] | 9120 [O2] | ||
6 | 521A | ASN | 2.08 | 2.80 | 128.48 | 3832 [Nam] | 9121 [O2] | ||
7 | 551A | HIS | 1.90 | 2.83 | 159.92 | 9126 [O3] | 4065 [N2] |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 345A | ARG | 4.13 | Phosphate | 9130, 9130, 9129, 9131, 9132, 9133 | |
2 | 470B | ARG | 4.27 | Phosphate | 9130, 9130, 9129, 9131, 9132, 9133 | |
3 | 471B | ARG | 4.69 | Phosphate | 9130, 9130, 9129, 9131, 9132, 9133 | |
4 | 510A | ARG | 4.26 | Phosphate | 9130, 9130, 9129, 9131, 9132, 9133 |
UMP-B-711 Interacting Chains: A, B
Figure 68: MalasmoruponaqTM™ Hydrogen Bonds from the in 3UM6 (bifunctional dihydrofolate reductase-thymidylate synthase.
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor | Sidechain | Donor Atom | Acceptor Atom |
1 | 509B | GLN | 2.79 | 3.27 | 110.71 | 8252 [Nam] | 9205 [O2] | ||
2 | 511B | SER | 1.83 | 2.76 | 160.59 | 8269 [O3] | 9217 [O3] | ||
3 | 513B | ASP | 1.84 | 2.81 | 168.96 | 8276 [Nam] | 9205 [O2] | ||
4 | 518B | VAL | 3.54 | 4.00 | 111.10 | 8308 [Nam] | 9205 [O2] | ||
5 | 521B | ASN | 1.98 | 2.77 | 136.18 | 8340 [Nam] | 9206 [O2] | ||
6 | 551B | HIS | 1.86 | 2.81 | 169.17 | 9211 [O3] | 8573 [N2] | ||
7 | 553B | TYR | 2.09 | 2.94 | 149.59 | 8592 [O3] | 9211 [O3] |
Salt Bridges
Index | Residue | AA | Distance | Protein positive | Ligand Group | Ligand Atoms |
1 | 345B | ARG | 4.15 | Phosphate | 9215, 9215, 9218, 9214, 9216, 9217 | |
2 | 470A | ARG | 4.11 | Phosphate | 9215, 9215, 9218, 9214, 9216, 9217 | |
3 | 471A | ARG | 4.39 | Phosphate | 9215, 9215, 9218, 9214, 9216, 9217 | |
4 | 510B | ARG | 4.55 | Phosphate | 9215, 9215, 9218, 9214, 9216, 9217 |
Figure 69: MalasmoruponaqTM™ 3 binding site(s) in 4IOD (malarial clp b2 atpase/hsp101 protein).
SO4 (sulfate) SO4-A-201 Interacting Chains: A
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor? | Sidechain | Donor Atom | Acceptor Atom |
1 | 33A | ASN | 2.09 | 3.01 | 154.54 | 1360 [Nam] | 3522 [O3] | ||
2 | 34A | LYS | 2.08 | 2.98 | 151.09 | 1368 [Nam] | 3520 [O2] |
Water Bridges
Index | Residue | AA | Dist. A-W | Dist. D-W | Donor Angle | Water Angle | Protein donor? | Donor Atom | Acceptor Atom | Water Atom |
1 | 32A | HIS | 2.97 | 4.02 | 117.73 | 134.11 | 3521 [O3] | 1356 [N2] | 3788 | |
2 | 36A | LYS | 2.86 | 4.02 | 117.73 | 71.65 | 3521 [O3] | 1393 [N3] | 3788 |
Salt Bridges
Index | Residue | AA | Distance | Protein positive? | Ligand Group | Ligand Atoms |
1 | 32A | HIS | 4.85 | Sulfate | 3518, 3518 |
SO4-B-201
Interacting chains: A, B
Hydrogen Bonds from the
Index | Residue | AA | Distance H-A | Distance D-A | Donor Angle | Protein donor? | Sidechain | Donor Atom | Acceptor Atom |
1 | 75B | THR | 2.75 | 3.50 | 134.63 | 528 [O3] | 3515 [O2] |
Salt Bridges
Index | Residue | AA | Distance | Protein positive? | Ligand Group | Ligand Atoms |
1 | 32B | HIS | 5.15 | Sulfate | 3513, 3513 | |
2 | 108A | LYS | 4.87 | Sulfate | 3513, 3513 |
SO4-C-201
Interacting Chains: C
Salt Bridges
Index | Residue | AA | Distance | Protein positive? | Ligand Group | Ligand Atoms |
1 | 147C | ARG | 4.61 | Sulfate | 3523, 3523 | |
2 | 151C | LYS | 3.71 | Sulfate | 3523, 3523 |
Figure 70: MalasmoruponaqTM__5d25cb805d580 with (PDB:4F7F) Structure of Anopheles gambiae odorant binding protein 20 A novel mechanism of ligand binding and release in the odorant binding protein 20 from the malaria mosquito Anopheles gambiae.
MalasmoruponaqTM__ | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM__ligand_de69935f3a_1_run_1.log | 1 | 104.564 | 0.728 | 0 | 0.728 | 24 | 0 | 6.662 |
MalasmoruponaqTM__ligand_de69935f3a_1_run_1.log | 3 | 104.565 | 0.729 | 0 | 0.729 | 24 | 10.514 | 6.662 |
MalasmoruponaqTM__ligand_de69935f3a_1_run_1.log | 4 | 104.566 | 0.729 | 0 | 0.729 | 24 | 9.833 | 6.662 |
Figure 71: 3D Docking Docking Interactions of the MalasmoruponaqTM__5d25c9604090b_ with the 3zml_(PDB:3ZML).
MalasmoruponaqTM__ | Model | T.Energy | I.Energy | vdW | Coul | NumRotors | RMSD | Score |
MalasmoruponaqTM__ligand_77f86cfe58_1_run_17.log | 1 | 4672.719 | 3832.72 | 3879.315 | -46.595 | 26 | 0 | 1.557 |
MalasmoruponaqTM__ligand_77f86cfe58_1_run_17.log | 3 | 4774.539 | 4276.986 | 4301.671 | -24.685 | 26 | 2.33 | 2.526 |
MalasmoruponaqTM__ligand_77f86cfe58_1_run_17.log | 8 | 5404.847 | 4456.715 | 4450.926 | 5.789 | 21 | 4.871 | 1.55 |
Figure 72a: 3D Comparative Docking studies of the Docking Docking Interactions between the Mala smoruponaqTM AND Quinine, Quinidine, Proguanil, Atovaquone, Mefloquine, 3ZML with the 3zml_ PDB:3ZML).
Figure 72b: 3D Comparative Docking studies of the Docking Docking Interactions between the Mala smoruponaqTM AND Quinine, Quinidine, Proguanil, Atovaquone, Mefloquine, 3ZML with the 3zml_ PDB:3ZML).
Figure 73: MalasmoruponaqTM™_VS_FDAs_Spreadsheet1 Docking Energies.
Figure 74: MalasmoruponaqTM™_VS_FDAs_Spreadsheet1 10v*3866c.
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- Conclusion
In this study we generated Docking Algorithms for the:
- Experimental quantum simulation of fermion-antifermion scattering via boson exchange in a trapped ion Docking Algorithms.
- Machine Learning and Computer Vision System for Phenotype Data Acquisition and Analysis Direct quantum process tomography via measuring sequential weak values of incompatible observables Docking Algorithms.
- Performance of Source Localization Docking Algorithms on the Extraction of gravitational waves in numerical relativity. Docking Algorithms in Feature Selection and Predictors of Falls with Foot Force Sensors Using KNN-Based Docking Algorithms.
- Numerical observation of emergent spacetime supersymmetry at quantum criticality simple quantum voting scheme with multi-qubit entanglement Docking Algorithms.
- Multiscale Quantum Harmonic Oscillator Docking Algorithm for Multimodal Optimizationon Small Molecules as Rotating stars in relativity Improved Quantum Artificial Fish Docking Algorithm.
- Application to Distributed Network Considering Distributed Generation Artificial fish complete update and obtain the optimal value mainly through the following four behaviors: being random, preying, swarming, and following in the process of iterative calculation on Small Molecules as Rotating stars in relativity Improved Quantum Artificial Fish Docking Algorithm.
- Distributed Network Considering Distributed Generation Docking Algorithms on Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics.
- Quantum Walks based Quantum Hash Function Docking Algorithms of a general model for metabolic scaling in self-similar asymmetric networks.
- Real-Coded Quantum Evolutionary Docking Algorithm Based on Hybrid Updating Strategy Docking Algorithms of an Analytical Framework for Studying Small-Number Effects in Catalytic Reaction Networks: A Probability Generating Function Approach to Chemical Master Equations.
- Estimation of Fractional-Order Chaotic Systems by Using Quantum Parallel Particle Swarm Optimization Docking Algorithm.
- The Spatial Chemical Langevin Equation and Reaction Diffusion Master Equations: moments and qualitative solutionschemical master equation: direct and closed-form solutions Novel Quantum-Behaved Docking Algorithms with Mean Best Position Directed for Numerical Optimization.
- Chemical Master Equation Closure for Computer-Aided Synthetic Biology: The Spatial Chemical Langevin Equation and Reaction Diffusion Master Equations: moments and qualitative solutions.
- Quantifying Magnetic Sensitivity Radical Pair Based Compass Quantum Fisher Information Docking Algorithms in Feature Selection and Predictors of Falls with Foot Force Sensors Using KNN parallel adaptive genetic Docking Algorithms for the controllability of arbitrary networks.
- Machine learning for electronic structure calculations Docking Algorithms in Feature Selection and Predictors of Falls with Foot Force Sensors Using KNN parallel adaptive genetic Docking Algorithms.
- Controllability of arbitrary networks Based Subect Docking Algorithms Docking Algorithms on the Performance of Source Localization Docking Algorithms.
- Discrete-Time Quantum Walk with Phase Disorder: Localization and Entanglement Entropy The Brainwave Nucleons Novel Quantum-Behaved Docking Algorithms with Mean Best Position Directed for Numerical Optimization Novel Quantum-Behaved Docking Algorithms.
- Mean Best Position Directed for Numerical Optimization Docking Algorithms.
- Experimental time-reversed adaptive Bell measurement towards all-photonic quantum repeaters Fast Gap-Free Quantum Docking Algorithm Enumerations.
- Multivariate polynomial interpolation of Conformations and Sequences for Small Molecule Design Supercritical entanglement in local systems: Counter example to the area law for quantum matter Docking Algorithms.
- Complete 3-Qubit Grover search on a programmable quantum computer Docking Algorithms.
- Complete 3-Qubit Grover search on a programmable quantum computer Docking Algorithms for Supercritical entanglement in local systems: Counterexample to the area law for quantum matter Docking Algorithm.
- Time-of-Flight Three Dimensional Neutron Diffraction in Transmission Mode Implementation of controlled quantum teleportation with an arbitrator for secure quantum channels via quantum dots inside optical cavities.
- Adapting machine general-purpose earning techniques using inverse probability of censoring weighting and for theiImplementation of controlled quantum teleportation with an arbitrator for secure quantum channels via quantum dots inside optical cavities.
- Adapting machine general-purpose earning techniques using inverse probability of censoring weighting Docking Algorithm.
- Algebraic topology for biomolecules in machine learning based scoring and virtual screening.
- Quantum probability in decision making from quantum information neuronal ‹MalasmorupopnaqTMstates›› Docking Algorithms.
- Machine learning: k-nearest neighbors on an Adaptive Weighted KNN Positioning Method Based on Omnidirectional Fingerprint Database and Twice Affinity Propagation Clustering.
- Absolute Binding Free Energy Calculations: On the Accuracy of Computational Scoring of Protein-MalasmoruponaqTM™ligand Docking Interactions.
- Proposed Indoor Localization Method Docking Algorithms to machine learning: k-nearest neighbors on an Adaptive Weighted KNN Positioning Method Based on Omnidirectional Fingerprint Database and Twice Affinity Propagation Clustering:
- Absolute Binding Free Energy Calculations: On the Accuracy of Computational Scoring of Protein-MalasmoruponaqTM™ligand Docking Interactions Constructing exact representations of quantum many-body systems with deep neural networks Docking Algorithms_on Force-momentum-based self-guided Langevin dynamics: A rapid sampling method that approaches the canonical ensemble: neuronal version of Grover’s quantum Docking Algorithm.
- Quantum machine learning for electronic structure calculations neuronal version of Grover’s quantum Docking Algorithm.
- Electronic Nose Quantum_Noosphere_Improved Quantum Artificial Fish Docking Algorithm Application to Distributed Network quantum Quantum_Noosphere_Improved Quantum Artificial Fish Docking Algorithm Application to Distributed Network quantum classifiers.
- Progressive sampling-based Bayesian optimization for efficient and automatic advanced machine learning Docking Algorithms Improvement of Performance, Stability and Continuity Molecular Dynamics Simulations by Modified Size-Consistent Multipartitioning Quantum Mechanical/Molecular Mechanical Modeling Method.
- Generation of potential small multi-targeted molecules.
- Investigation for their druggable small molecule likeness.
- Ranking them according to their binding affinities within protein and DNA/RNA targetings.
- Optimization of the generated hyper-molecules to energetically improve their multi-targeted binding characteristics.
- While we considered an Electronic Nose Quantum Noosphere Improved Quantum Artificial Fish Docking Algorithm Application to Distributed classifiers with a bounded working region, it is unclear what is the highest success probability that can be achieved by a general k-query Quantum machine learning for electronic structure calculations neuronal version of Grover’s quantum Docking Algorithm without this restriction (and in particular, whether fewer than k𝕂 queries could suffice to solve the Constructing exact representations of quantum many-body systems with deep neural networks Docking Algorithms on Force-momentum-based self-guided Langevin dynamics with high probability). Indeed, even for the Accuracy of Computational Scoring of Protein-MalasmoruponaqTM ligand Docking Interactions algorithm we proposed in, it remains open to understand what choice of the region S leads to the highest success probability in decision making from quantum information neuronal ‹MalasmorupopnaqTM superposition states›› Docking Algorithms. As mentioned, it would be useful to establish lower bounds on the query complexity of polynomial interpolation over infinite algebraic topology for biomolecules in machine learning based scoring and virtual screening fields. Also, as stated in [20], for the univariate case over finite fields, the algorithm is time efficient since the function Z−1(z), i.e. finding a preimage of elements in the range of Z, is efficiently computable using inverse probability of censoring weighting and for the Implementation of controlled quantum teleportation with an arbitrator for secure quantum channels via quantum dots inside optical cavities. However, for multivariate cases, it remains open whether there is an analogous efficiency analysis in Transmission Mode Implementation of controlled quantum teleportation with an arbitrator for secure quantum channels via quantum dots inside optical cavities. Here, we have discovered for the first time an in silico predicted and computer-aided molecular designed Inverse Molecular Design Docking Algorithm in a Model Binding Site as an In silico predicted and computer-aided molecular designed structure of peptide mimetic active pharmaco-agent (MalasmoruponaqTM™) against the gram positive bacteria Staphylococcus aureus for the depletion of its antibacterial defensin DEF-AAA for the deactivation of antimicrobial activity of the insect defensin from Anopheles gambiae. Furthermore, MalasmopuronaqTM small molecule could be used synergistically with dihydroartemisinin (DHA) antimalarial drug on its own or in combination with other artemisinins when used in areas for seasonal Intermittent Preventive Treatment (IPT) to reduce substantially the incidence, transmissios and prevent malaria in children. These findings not only are important for malarial PfNDH2 protein-based potential allosteric mechanism drug development but could also have broad implications for other NDH2-containing pathogenic microorganisms functions in Mtb to facilitate the anti-TB drug discovery approaches against the two homologous Ndh-2 enzymes in Mycobacterium tuberculosis. From the predicted host-pathogen PPIs, the MalasmoruponaqTM™ QMMMIDD small molecule from the present study targets into most of the host proteins within Malaria P. amd Ebola EBOVpathogen structural proteins such as kinases, phosphatases, histone acetyltransferases, actin, histone deacetylases, tubulin, the viral proteins VP24-VP30-VP35-VP40, L (polymerase), bacterial and mammalian acetyl-CoA synthases, the ubiquitin ligase murine double minute 2, the glycoprotein (GP), the chaperonin heat shock protein 90, and histone by using an efficient and automatic advanced machine learning Docking Algorithms Improvements of Performance, Stability and Continuity Molecular Dynamics Simulations of a Modified Size-Consistent Multipartitioning Quantum Mechanical/Molecular Mechanical Modeling Method. The MalasmoruponaqTM™ QMMMIDDD Small Molecule herbicide-like Derivatives is consisted of some of merged weighted harmonic electronegative groups with an electronegativity equilibration that allows the electronegativity of the prebonded hetero-atoms in the MalasmoruponaqTM™’s hyper-pharmacophoric fragments resulting to better binding properties than original molecule and more efficient antimalarial docking properties with better binding affinities as obtained. 7,{[4,(2,{[(2R),3,(42,2,3,4,4a,4b,5,6,7,8,decahydro,9λ⁴,carbazol,4,yloxy),2,hydroxypropyl]amino}ethoxy),3,oxocyclohexyl]oxy},19,[(42Z),1,[(2R),2,[(2S),2,amino,3,[(3R),3,hydroxy,3,[(3R,4S,5R),4,hydroxy,5,[(42R),1,hydroxy,2,[(oxophospho),λ³,oxy]ethyl],2,oxooxolan,3,yl]propyl],1,3,diazinan,1,yl],2,(hydroxyamino)ethylidene],5,6,dihydro,4H,1λ⁴,2,thiazin,3,yl],2λ³,oxa,10λ⁴,13λ⁴,diazapentacyclo[12.8.0.0³,¹².0⁴,⁹.0¹⁵,²⁰]docosa,1,9,10,12,13,pentaen,6,one dihydrofluoride is the best molecule which can be considered as drug molecule for in vivo analysis and validation involved in the infection process by targeting nuclear assembly proteins and thereby inhibiting the host cell to function properly for the development of anti-malarial agent for malarial treatment with better binding affinity and ADME properties. Here, We present the MalasmoruponaqTM™ QMMMIDD Small Molecule that targets into the structure of human KPNA5 C terminus in complex with eVP24 and PY-STAT1 binding domains within its non-classical nuclear localization signal (NLS) binding site on the KPNA5 that is necessary for the efficient PY-STAT1 nuclear transport. MalasmoruponaqTM™ QMMMIDD Small Molecule inhibits the eVP24, VP24, BDBV VP24 (bVP24), the RESTV VP24 (rVP24) and the three NPI-1 subfamily (KPNAs KPNA1, KPNA5, KPNA6) to effectively compete with and inhibit the PY-STAT1 nuclear transport Docking Interactions on the VP24 stability. MalasmoruponaqTM™ Targets the Unique NLS Binding Site on the three NPI-1 KPNAs. bVP2 and Karyopherin Alpha 5 to Selectively Compete the Nuclear Import of Phosphorylated STAT1 and eVP24 or rVP24expression levels by exhibiting approximately some of 51,192261904761904761904761904762 and 1,6937913016751191025049946211772 fold times to KPNA than either to Remdesivir Small Molecules T. and I. Energies respectively. In this paper it is shown that the MalasmoruponaqTM™ small molecule even in the form of its two fratgmented compounds (MalasmoruponaqTM™_341139 and MalasmoruponaqTM™_937d73c677_1) binds within the (PDB: 4U2X) Ebola virus VP24 in complex with Karyopherin alpha 5 C-terminus and Ebola virus envelope protein MPER/TM domains (PDB:5T42) with some of -10.542 (score), 126.367(T.Energy), – 31.956(I.Energy) and -6.343 (score) -128.505 (T.Energy) and -27.128(I.Energy) respectively. Thus, the full potential of QMMMIDDD peptide-mimicking based anti-malarial drugs may be realized in the near future.
- Acknowledgments
The authors would like to thank Grigoriadis George Pharmacist for scientiic discussions.
- Author Bibliography
Grigoriadis G. Ioannis has completed his PharmacistD at the age of 24 years from the Aristotle University of Thessaloniki School of Pharmacy. He has published more than 379 papers and He is the Chairman of the WAMS International Board for Pharmaceutical Biotechnology and Clinical Pharmacy and the scientific director of Biogenea Pharmaceuticals Ltd, a premier biotechnology personalized cancer living vaccination service organization.
Poster Selection1: Pulsus Conferences and the Organizing Committee of Chemistry Congress malaria drug design research 2019 is pleased to inform you that abstract entitled, “Evaluation of an Inverse Molecular Design Docking Algorithm for the computer aided molecular drug design of a QMMMIDD motif peptide targeted active pharmaco-agent (MalasmoruponaqTM™) against the gram positive bacteria Staphylococcus aureus for the deactivation of antimicrobial activity of the insect defensin from Anopheles gambiae” authored by “GRIGORIADIS IOANNIS, Biogenea Pharmaceuticals Ltd, Greece” has been reviewed and accepted for Poster Presentation in “World Congress on Chemistry and Research Advancements” scheduled during June 20- 21, 2019 at Rome, Italy.
Poster Selection1: We would like to take the opportunity to about Grigoriadis G. Ioannis scientific contribution to 12th International Conference on Pharmaceutical Chemistry that will be held from May 20- 21, 2019 at Berlin, Germany. The organizing committee, we would like to inform you that the abstract titled “Evaluation of an Inverse Molecular Design Docking Algorithm for the computer aided molecular drug design of a QMMMIDD motif peptide targeted active pharmaco-agent (MalasmoruponaqTM™) against the gram positive bacteria Staphylococcus aureus for the deactivation of antimicrobial activity of the insect defensin from Anopheles gambiae” has been accepted by their review committee for an oral presentation at Pharmaceutical Chemistry 2019.
- Conflict of Interest
The authors declare that there is no conlict of interests regarding the publication of this paper.
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