全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Multi-Criteria Optimisation: The Environment-Dependent Protein Folding Process Simulation Tool

DOI: 10.4236/apm.2026.169036, PP. 740-764

Keywords: Multi-Criteria Optimisation, Internal Force Field, External Force Field, Protein Folding, Funnel Model

Full-Text   Cite this paper   Add to My Lib

Abstract:

The multiple minima problem in protein structure prediction arises from the large number of structural forms corresponding to the energy states of intra-molecule interactions that represent local or global minima that ensure stability. To indicate an appropriate energy minimum and its related spatial structure by simulating the folding process remains a puzzle that has not been solved using existing methods. The proposition presented herein is related to the necessity of treating the folding process as a mechanism based on multi-criteria optimisation that includes both internal force field and external force field optimisation. The protein folding process proved to be dependent on external environmental conditions. This requires treating the protein folding process as multi-criteria optimisation using the technique called the Pareto front. The need of using the multi-criteria optimisation procedure, as well as the propositions to implement this solution to folding process simulation tools are presented in this study.

References

[1]  Abramson, J., Adler, J., Dunger, J., Evans, R., Green, T., Pritzel, A., et al. (2024) Accurate Structure Prediction of Biomolecular Interactions with αFold 3. Nature, 630, 493-500.
https://doi.org/10.1038/s41586-024-07487-w
[2]  https://www.rcsb.org/
[3]  Fakhoury, Z., Sosso, G.C. and Habershon, S. (2023) Generating Protein Folding Trajectories Using Contact-Map-Driven Directed Walks. Journal of Chemical Information and Modeling, 63, 2181-2195.
https://doi.org/10.1021/acs.jcim.3c00023
[4]  Rawat, S., Subramaniam, K., Subramanian, S.K., Subbarayan, S., Dhanabalan, S., Chidambaram, S.K.M., et al. (2024) Drug Repositioning Using Computer-Aided Drug Design (CADD). Current Pharmaceutical Biotechnology, 25, 301-312.
https://doi.org/10.2174/1389201024666230821103601
[5]  Cho, H.S., Schotte, F., Stadnytskyi, V. and Anfinrud, P. (2021) Time-Resolved X-Ray Scattering Studies of Proteins. Current Opinion in Structural Biology, 70, 99-107.
https://doi.org/10.1016/j.sbi.2021.05.002
[6]  Agarwal, U., Tonk, R.K. and Paliwal, S. (2025) Importance of Computer-Aided Drug Design in Modern Pharmaceutical Research. Current Drug Discovery Technologies, 22, e15701638361318.
https://doi.org/10.2174/0115701638361318241230073123
[7]  Momin, Y. and Beloshe, V. (2025) Pharmacophore Modeling in Drug Design. Advances in Pharmacology, 103, 313-324.
https://doi.org/10.1016/bs.apha.2025.01.010
[8]  Tur Razia, I., Kanwal, A., Riaz, H.F., Malik, A., Ahsan, M., Saleem Khan, M., et al. (2023) Recent Trends in Computer-Aided Drug Design for Anti-Cancer Drug Discovery. Current Topics in Medicinal Chemistry, 23, 2844-2862.
https://doi.org/10.2174/0115680266258467231107102643
[9]  Takaya, D. (2024) Computer-Aided Drug Design Using the Fragment Molecular Orbital Method: Current Status and Future Applications for SBDD. Chemical and Pharmaceutical Bulletin, 72, 781-786.
https://doi.org/10.1248/cpb.c23-00839
[10]  Acosta-Alvear, D., Harnoss, J.M., Walter, P. and Ashkenazi, A. (2024) Homeostasis Control in Health and Disease by the Unfolded Protein Response. Nature Reviews Molecular Cell Biology, 26, 193-212.
https://doi.org/10.1038/s41580-024-00794-0
[11]  Pontisso, I., Ornelas-Guevara, R., Combettes, L. and Dupont, G. (2023) A Journey in UPR Modelling. Biology of the Cell, 115, e2200111.
https://doi.org/10.1111/boc.202200111
[12]  Shpilka, T. and Haynes, C.M. (2017) The Mitochondrial UPR: Mechanisms, Physiological Functions and Implications in Ageing. Nature Reviews Molecular Cell Biology, 19, 109-120.
https://doi.org/10.1038/nrm.2017.110
[13]  Kumar, M., Sharma, S. and Mazumder, S. (2023) Role of UPRmt and Mitochondrial Dynamics in Host Immunity: It Takes Two to Tango. Frontiers in Cellular and Infection Microbiology, 13, Article 1135203.
https://doi.org/10.3389/fcimb.2023.1135203
[14]  Purisima, E.O. and Scheraga, H.A. (1987) An Approach to the Multiple-Minima Problem in Protein Folding by Relaxing Dimensionality. Journal of Molecular Biology, 196, 697-709.
https://doi.org/10.1016/0022-2836(87)90041-6
[15]  Li, Z. and Scheraga, H.A. (1987) Monte Carlo-Minimization Approach to the Multiple-Minima Problem in Protein Folding. Proceedings of the National Academy of Sciences of the United States of America, 84, 6611-6615.
https://doi.org/10.1073/pnas.84.19.6611
[16]  https://predictioncenter.org/
[17]  Fadini, A., Studer, G. and Read, R.J. (2026) Model Quality Assessment for Casp16. Proteins: Structure, Function, and Bioinformatics, 94, 302-313.
https://doi.org/10.1002/prot.70037
[18]  Roterman, I., Stapor, K. and Konieczny, L. (2023) Role of Environmental Specificity in CASP Results. BMC Bioinformatics, 24, Article No. 425.
https://doi.org/10.1186/s12859-023-05559-8
[19]  Gadza?a, M., Kalinowska, B., Banach, M., Konieczny, L. and Roterman, I. (2017) Determining Protein Similarity by Comparing Hydrophobic Core Structure. Heliyon, 3, e00235.
https://doi.org/10.1016/j.heliyon.2017.e00235
[20]  Roterman, I., Sieradzan, A., Stapor, K., Fabian, P., Weso?owski, P. and Konieczny, L. (2022) On the Need to Introduce Environmental Characteristics in Ab Initio Protein Structure Prediction Using a Coarse-Grained UNRES Force Field. Journal of Molecular Graphics and Modelling, 114, Article ID: 108166.
https://doi.org/10.1016/j.jmgm.2022.108166
[21]  Kim, D.E., Chivian, D. and Baker, D. (2004) Protein Structure Prediction and Analysis Using the Robetta Server. Nucleic Acids Research, 32, W526-W531.
https://doi.org/10.1093/nar/gkh468
[22]  Hwang, W., Austin, S.L., Blondel, A., Boittier, E.D., Boresch, S., Buck, M., et al. (2024) CHARMM at 45: Enhancements in Accessibility, Functionality, and Speed. The Journal of Physical Chemistry B, 128, 9976-10042.
https://doi.org/10.1021/acs.jpcb.4c04100
[23]  Wang, J., Wolf, R.M., Caldwell, J.W., Kollman, P.A. and Case, D.A. (2004) Development and Testing of a General Amber Force Field. Journal of Computational Chemistry, 25, 1157-1174.
https://doi.org/10.1002/jcc.20035
[24]  Van Der Spoel, D., Lindahl, E., Hess, B., Groenhof, G., Mark, A.E. and Berendsen, H.J.C. (2005) GROMACS: Fast, Flexible, and Free. Journal of Computational Chemistry, 26, 1701-1718.
https://doi.org/10.1002/jcc.20291
[25]  Adham, A.M., Mohd-Ghazali, N. and Ahmad, R. (2015) Performance Optimization of a Microchannel Heat Sink Using the Improved Strength Pareto Evolutionary Algorithm (SPEA2). Journal of Engineering Thermophysics, 24, 86-100.
https://doi.org/10.1134/s1810232815010087
[26]  Deb, K. and Jain, H. (2014) An Evolutionary Many-Objective Optimization Algorithm Using Reference-Point-Based Nondominated Sorting Approach, Part I: Solving Problems with Box Constraints. IEEE Transactions on Evolutionary Computation, 18, 577-601.
https://doi.org/10.1109/tevc.2013.2281535
[27]  Ishibuchi, H., Imada, R., Setoguchi, Y. and Nojima, Y. (2016) Performance Comparison of NSGA-II and NSGA-III on Various Many-Objective Test Problems. 2016 IEEE Congress on Evolutionary Computation (CEC), Vancouver, 24-29 July 2016, 3045-3052.
https://doi.org/10.1109/cec.2016.7744174
[28]  Zitzler, E., Laumanns, M., and Thiele, L. (2001) SPEA2: Improving the Strength Pareto Evolutionary Algorithm. Evolutionary Methods for Design Optimization and Control with Applications to Industrial Problems, Greece, 19-21 September 2001, 95-100.
https://sop.tik.ee.ethz.ch/publicationListFiles/zlt2001a.pdf
[29]  Zitzler, E. and Thiele, L. (1999) Multiobjective Evolutionary Algorithms: A Comparative Case Study and the Strength Pareto Approach. IEEE Transactions on Evolutionary Computation, 3, 257-271.
https://doi.org/10.1109/4235.797969
[30]  Chiti, F. and Dobson, C.M. (2017) Protein Misfolding, Amyloid Formation, and Human Disease: A Summary of Progress over the Last Decade. Annual Review of Biochemistry, 86, 27-68.
https://doi.org/10.1146/annurev-biochem-061516-045115
[31]  Kumeta, H., Ogura, K., Nishimiya, Y., Miura, A., Inagaki, F. and Tsuda, S. (2013) NMR Structure Note: A Defective Isoform and Its Activity-Improved Variant of a Type III Antifreeze Protein from Zoarces Elongates Kner. Journal of Biomolecular NMR, 55, 225-230.
https://doi.org/10.1007/s10858-012-9703-9
[32]  Neuweiler, H., Sharpe, T.D., Rutherford, T.J., Johnson, C.M., Allen, M.D., Ferguson, N., et al. (2009) The Folding Mechanism of BBL: Plasticity of Transition-State Structure Observed within an Ultrafast Folding Protein Family. Journal of Molecular Biology, 390, 1060-1073.
https://doi.org/10.1016/j.jmb.2009.05.011
[33]  Zhang, W., Zhang, J., Zhang, X., Xu, C. and Tu, X. (2011) Solution Structure of Rap1 BRCT Domain from Saccharomyces Cerevisiae Reveals a Novel Fold. Biochemical and Biophysical Research Communications, 404, 1055-1059.
https://doi.org/10.1016/j.bbrc.2010.12.109
[34]  Sborgi, L., Verma, A., Mu?oz, V. and de Alba, E. (2011) Revisiting the NMR Structure of the Ultrafast Downhill Folding Protein GPW from Bacteriophage λ. PLOS ONE, 6, e26409.
https://doi.org/10.1371/journal.pone.0026409
[35]  Ellis, M.J., Antonyuk, S.V., Strange, R.W., Sawers, G., Eady, R.R. and Hasnain, S.S. (2004) Observation of an Unprecedented Cu Bis-His Site: Crystal Structure of the H129V Mutant of Nitrite Reductase. Inorganic Chemistry, 43, 7591-7593.
https://doi.org/10.1021/ic048966p
[36]  Robien, M.A., Clore, G.M., Omichinski, J.G., Perham, R.N., Appella, E., Sakaguchi, K., et al. (1992) Three-Dimensional Solution Structure of the E3-Binding Domain of the Dihydrolipoamide Succinyltransferase Core from the 2-Oxoglutarate Dehydrogenase Multienzyme Complex of Escherichia coli. Biochemistry, 31, 3463-3471.
https://doi.org/10.1021/bi00128a021
[37]  Adler, M., Buckman, B., Bryant, J., Chang, Z., Chu, K., Emayan, K., et al. (2008) Structures of Potent Selective Peptide Mimetics Bound to Carboxypeptidase B. Acta Crystallographica Section D Biological Crystallography, 64, 149-157.
https://doi.org/10.1107/s0907444907057228
[38]  Park, S.H., Das, B.B., Casagrande, F., Tian, Y., Nothnagel, H.J., Chu, M., et al. (2012) Structure of the Chemokine Receptor CXCR1 in Phospholipid Bilayers. Nature, 491, 779-783.
https://doi.org/10.1038/nature11580
[39]  Toyoda, Y., Morimoto, K., Suno, R., Horita, S., Yamashita, K., Hirata, K., et al. (2018) Ligand Binding to Human Prostaglandin E Receptor EP4 at the Lipid-Bilayer Interface. Nature Chemical Biology, 15, 18-26.
https://doi.org/10.1038/s41589-018-0131-3
[40]  Fezoui, Y., Connolly, P.J. and Osterhout, J.J. (1997) Solution Structure of αtα, a Helical Hairpin Peptide of De Novo Design. Protein Science, 6, 1869-1877.
https://doi.org/10.1002/pro.5560060907
[41]  Luecke, H., Schobert, B., Cartailler, J., Richter, H., Rosengarth, A., Needleman, R., et al. (2000) Coupling Photoisomerization of Retinal to Directional Transport in Bacteriorhodopsin. Journal of Molecular Biology, 300, 1237-1255.
https://doi.org/10.1006/jmbi.2000.3884
[42]  Gushchin, I., Reshetnyak, A., Borshchevskiy, V., Ishchenko, A., Round, E., Grudinin, S., et al. (2011) Active State of Sensory Rhodopsin II: Structural Determinants for Signal Transfer and Proton Pumping. Journal of Molecular Biology, 412, 591-600.
https://doi.org/10.1016/j.jmb.2011.07.022
[43]  Selvakumar, P., Fernández-Mari?o, A.I., Khanra, N., He, C., Paquette, A.J., Wang, B., et al. (2022) Structures of the T Cell Potassium Channel Kv1.3 with Immunoglobulin Modulators. Nature Communications, 13, Article No. 3854.
https://doi.org/10.1038/s41467-022-31285-5
[44]  Sacchettini, J.C., Klabunde, T., Petrassi, H.M., Oza, V.B., Raman, P. and Kelly, J.W. (2000) Rational Design of Potent Human Transthyretin Amyloid Disease Inhibitors. Nature Structural Biology, 7, 312-321.
https://doi.org/10.1038/74082
[45]  Huang, D.B., Ainsworth, C.F., Stevens, F.J. and Schiffer, M. (1996) Three Quaternary Structures for a Single Protein. Proceedings of the National Academy of Sciences of the United States of America, 93, 7017-7021.
https://doi.org/10.1073/pnas.93.14.7017
[46]  Schmidt, M., Wiese, S., Adak, V., Engler, J., Agarwal, S., Fritz, G., et al. (2019) Cryo-EM Structure of a Transthyretin-Derived Amyloid Fibril from a Patient with Hereditary ATTR Amyloidosis. Nature Communications, 10, Article No. 5008.
https://doi.org/10.1038/s41467-019-13038-z
[47]  Swuec, P., Lavatelli, F., Tasaki, M., Paissoni, C., Rognoni, P., Maritan, M., et al. (2019) Cryo-EM Structure of Cardiac Amyloid Fibrils from an Immunoglobulin Light Chain AL Amyloidosis Patient. Nature Communications, 10, Article No. 1269.
https://doi.org/10.1038/s41467-019-09133-w
[48]  Douglas, N.R., Reissmann, S., Zhang, J., Chen, B., Jakana, J., Kumar, R., et al. (2011) Dual Action of ATP Hydrolysis Couples Lid Closure to Substrate Release into the Group II Chaperonin Chamber. Cell, 144, 240-252.
https://doi.org/10.1016/j.cell.2010.12.017
[49]  Liao, Z., Gopalasingam, C.C., Kameya, M., Gerle, C., Shigematsu, H., Ishii, M., et al. (2024) Structural Insights into Thermophilic Chaperonin Complexes. Structure, 32, 679-689.e4.
https://doi.org/10.1016/j.str.2024.02.012
[50]  Burton, R.E., Huang, G.S., Daugherty, M.A., Fullbright, P.W. and Oas, T.G. (1996) Microsecond Protein Folding through a Compact Transition State. Journal of Molecular Biology, 263, 311-322.
https://doi.org/10.1006/jmbi.1996.0577
[51]  Roterman, I., Banach, M. and Konieczny, L. (2017) Antifreeze Proteins. Bioinformation, 13, 400-401.
https://doi.org/10.6026/97320630013400
[52]  Roterman, I., Stapor, K. and Konieczny, L. (2024) Transmembrane Proteins—Different Anchoring Systems. Proteins: Structure, Function, and Bioinformatics, 92, 593-609.
https://doi.org/10.1002/prot.26646
[53]  Roterman, I., Konieczny, L. and Stapor, K. (2026) Environment-Dependent Structural Factors. In: Roterman-Konieczna, I., Ed., Simulating Protein Folding in Variable Environmental Conditions, Elsevier, 47-83.
https://doi.org/10.1016/b978-0-443-40475-7.00003-1
[54]  Levitt, M. (1976) A Simplified Representation of Protein Conformations for Rapid Simulation of Protein Folding. Journal of Molecular Biology, 104, 59-107.
https://doi.org/10.1016/0022-2836(76)90004-8
[55]  Kullback, S. and Leibler, R.A. (1951) On Information and Sufficiency. The Annals of Mathematical Statistics, 22, 79-86.
https://doi.org/10.1214/aoms/1177729694
[56]  Banach, M., Konieczny, L. and Roterman, I. (2020) Protein-Protein Interaction Encoded as an Exposure of Hydrophobic Residues on the Surface. In: Roterman-Konieczna, I., Ed., From Globular Proteins to Amyloids, Elsevier, 79-89.
https://doi.org/10.1016/b978-0-08-102981-7.00008-7
[57]  Roterman, I., Konieczny, L., Stapor, K. and S?upina, M. (2024) Hydrophobicity-Based Force Field in Enzymes. ACS Omega, 9, 8188-8203.
https://doi.org/10.1021/acsomega.3c08728
[58]  Roterman, I. and Konieczny, L. (2023) Protein Is an Intelligent Micelle. Entropy, 25, Article 850.
https://doi.org/10.3390/e25060850
[59]  Humphrey, W., Dalke, A. and Schulten, K. (1996) VMD: Visual Molecular Dynamics. Journal of Molecular Graphics, 14, 33-38.
https://doi.org/10.1016/0263-7855(96)00018-5
[60]  Roterman, I., Konieczny, L., Dulak, D. and Stapor, K. (2026) Proposed Computational Procedure for Protein and Amyloid Structure Prediction. In: Roterman-Konieczna, I., Ed., Simulating Protein Folding in Variable Environmental Conditions, Elsevier, 107-130.
[61]  Banach, M. and Roterman, I. (2020) Amyloid as a Ribbon-Like Micelle. In: Roterman-Konieczna, I., Ed., From Globular Proteins to Amyloids, Elsevier, 177-191.
[62]  Roterman, I., Stapor, K., Du?ak, D. and Konieczny, L. (2024) External Force Field for Protein Folding in Chaperonins-Potential Application in in Silico Protein Folding. ACS Omega, 9, 18412-18428.
https://doi.org/10.1021/acsomega.4c00409
[63]  Roterman, I., Slupina, M. and Konieczny, L. (2024) Protein Folding: Funnel Model Revised. Computational and Structural Biotechnology Journal, 23, 3827-3838.
https://doi.org/10.1016/j.csbj.2024.10.030
[64]  Reynaud, E. (2010) Protein Misfolding and Degenerative Diseases. Nature Education, 3, Article 2.
https://www.nature.com/scitable/topicpage/protein-misfolding-and-degenerative-diseases-14434929/
[65]  Huang, Z., Cui, X., Xia, Y., Zhao, K. and Zhang, G. (2023) Pathfinder: Protein Folding Pathway Prediction Based on Conformational Sampling. PLOS Computational Biology, 19, e1011438.
https://doi.org/10.1371/journal.pcbi.1011438
[66]  Roterman, I., S?upina, M., Du?ak, D. and Konieczny, L. (2025) Three Scenarios for Amyloid Transformation in the Context of the Funnel Model. Computational and Structural Biotechnology Journal, 27, 1648-1659.
https://doi.org/10.1016/j.csbj.2025.04.016
[67]  Roterman, I., Stapor, K., Fabian, P. and Konieczny, L. (2022) In Silico Modeling of COVID-19 Pandemic Course Differentiation Using the FOD Model. Coronaviruses, 3, e020622205580.
https://doi.org/10.2174/2666796703666220602155421

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133