1
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Maruyama Y, Yoshida N. RISMiCal: A software package to perform fast RISM/3D-RISM calculations. J Comput Chem 2024; 45:1470-1482. [PMID: 38472097 DOI: 10.1002/jcc.27340] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/27/2023] [Revised: 02/23/2024] [Accepted: 02/28/2024] [Indexed: 03/14/2024]
Abstract
Solvent plays an essential role in a variety of chemical, physical, and biological processes that occur in the solution phase. The reference interaction site model (RISM) and its three-dimensional extension (3D-RISM) serve as powerful computational tools for modeling solvation effects in chemical reactions, biological functions, and structure formations. We present the RISM integrated calculator (RISMiCal) program package, which is based on RISM and 3D-RISM theories with fast GPU code. RISMiCal has been developed as an integrated RISM/3D-RISM program that has interfaces with external programs such as Gaussian16, GAMESS, and Tinker. Fast 3D-RISM programs for single- and multi-GPU codes written in CUDA would enhance the availability of these hybrid methods because they require the performance of many computationally expensive 3D-RISM calculations. We expect that our package can be widely applied for chemical and biological processes in solvent. The RISMiCal package is available at https://rismical-dev.github.io.
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Affiliation(s)
- Yutaka Maruyama
- Data Science Center for Creative Design and Manufacturing, The Institute of Statistical Mathematics, Tachikawa, Tokyo, Japan
- Department of Physics, School of Science and Technology, Meiji University, Kawasaki-shi, Kanagawa, Japan
| | - Norio Yoshida
- Graduate School of Informatics, Nagoya University, Chikusa, Nagoya, Japan
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2
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Fischer AL, Tichy A, Kokot J, Hoerschinger VJ, Wild RF, Riccabona JR, Loeffler JR, Waibl F, Quoika PK, Gschwandtner P, Forli S, Ward AB, Liedl KR, Zacharias M, Fernández-Quintero ML. The Role of Force Fields and Water Models in Protein Folding and Unfolding Dynamics. J Chem Theory Comput 2024; 20:2321-2333. [PMID: 38373307 PMCID: PMC10938642 DOI: 10.1021/acs.jctc.3c01106] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/06/2023] [Revised: 01/29/2024] [Accepted: 01/29/2024] [Indexed: 02/21/2024]
Abstract
Protein folding is a fascinating, not fully understood phenomenon in biology. Molecular dynamics (MD) simulations are an invaluable tool to study conformational changes in atomistic detail, including folding and unfolding processes of proteins. However, the accuracy of the conformational ensembles derived from MD simulations inevitably relies on the quality of the underlying force field in combination with the respective water model. Here, we investigate protein folding, unfolding, and misfolding of fast-folding proteins by examining different force fields with their recommended water models, i.e., ff14SB with the TIP3P model and ff19SB with the OPC model. To this end, we generated long conventional MD simulations highlighting the perks and pitfalls of these setups. Using Markov state models, we defined kinetically independent conformational substates and emphasized their distinct characteristics, as well as their corresponding state probabilities. Surprisingly, we found substantial differences in thermodynamics and kinetics of protein folding, depending on the combination of the protein force field and water model, originating primarily from the different water models. These results emphasize the importance of carefully choosing the force field and the respective water model as they determine the accuracy of the observed dynamics of folding events. Thus, the findings support the hypothesis that the water model is at least equally important as the force field and hence needs to be considered in future studies investigating protein dynamics and folding in all areas of biophysics.
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Affiliation(s)
- Anna-Lena
M. Fischer
- Institute
for General, Inorganic and Theoretical Chemistry, Center for Molecular
Biosciences Innsbruck (CMBI), University
of Innsbruck, A-6020 Innsbruck, Austria
| | - Anna Tichy
- Institute
for General, Inorganic and Theoretical Chemistry, Center for Molecular
Biosciences Innsbruck (CMBI), University
of Innsbruck, A-6020 Innsbruck, Austria
| | - Janik Kokot
- Institute
for General, Inorganic and Theoretical Chemistry, Center for Molecular
Biosciences Innsbruck (CMBI), University
of Innsbruck, A-6020 Innsbruck, Austria
| | - Valentin J. Hoerschinger
- Institute
for General, Inorganic and Theoretical Chemistry, Center for Molecular
Biosciences Innsbruck (CMBI), University
of Innsbruck, A-6020 Innsbruck, Austria
| | - Robert F. Wild
- Institute
for General, Inorganic and Theoretical Chemistry, Center for Molecular
Biosciences Innsbruck (CMBI), University
of Innsbruck, A-6020 Innsbruck, Austria
| | - Jakob R. Riccabona
- Institute
for General, Inorganic and Theoretical Chemistry, Center for Molecular
Biosciences Innsbruck (CMBI), University
of Innsbruck, A-6020 Innsbruck, Austria
| | - Johannes R. Loeffler
- Institute
for General, Inorganic and Theoretical Chemistry, Center for Molecular
Biosciences Innsbruck (CMBI), University
of Innsbruck, A-6020 Innsbruck, Austria
| | - Franz Waibl
- Department
of Chemistry and Applied Biosciences, ETH
Zürich, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland
| | - Patrick K. Quoika
- Center
for Protein Assemblies (CPA), Physics Department, Chair of Theoretical
Biophysics, Technical University of Munich, D-80333 Munich, Germany
| | | | - Stefano Forli
- Department
of Integrative Structural and Computational Biology, Scripps Research Institute, La
Jolla, California 92037, United States
| | - Andrew B. Ward
- Department
of Integrative Structural and Computational Biology, Scripps Research Institute, La
Jolla, California 92037, United States
| | - Klaus R. Liedl
- Institute
for General, Inorganic and Theoretical Chemistry, Center for Molecular
Biosciences Innsbruck (CMBI), University
of Innsbruck, A-6020 Innsbruck, Austria
| | - Martin Zacharias
- Center
for Protein Assemblies (CPA), Physics Department, Chair of Theoretical
Biophysics, Technical University of Munich, D-80333 Munich, Germany
| | - Monica L. Fernández-Quintero
- Institute
for General, Inorganic and Theoretical Chemistry, Center for Molecular
Biosciences Innsbruck (CMBI), University
of Innsbruck, A-6020 Innsbruck, Austria
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3
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Airas J, Ding X, Zhang B. Transferable Implicit Solvation via Contrastive Learning of Graph Neural Networks. ACS CENTRAL SCIENCE 2023; 9:2286-2297. [PMID: 38161379 PMCID: PMC10755853 DOI: 10.1021/acscentsci.3c01160] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 09/19/2023] [Revised: 10/26/2023] [Accepted: 10/31/2023] [Indexed: 01/03/2024]
Abstract
Implicit solvent models are essential for molecular dynamics simulations of biomolecules, striking a balance between computational efficiency and biological realism. Efforts are underway to develop accurate and transferable implicit solvent models and coarse-grained (CG) force fields in general, guided by a bottom-up approach that matches the CG energy function with the potential of mean force (PMF) defined by the finer system. However, practical challenges arise due to the lack of analytical expressions for the PMF and algorithmic limitations in parameterizing CG force fields. To address these challenges, a machine learning-based approach is proposed, utilizing graph neural networks (GNNs) to represent the solvation free energy and potential contrasting for parameter optimization. We demonstrate the effectiveness of the approach by deriving a transferable GNN implicit solvent model using 600,000 atomistic configurations of six proteins obtained from explicit solvent simulations. The GNN model provides solvation free energy estimations much more accurately than state-of-the-art implicit solvent models, reproducing configurational distributions of explicit solvent simulations. We also demonstrate the reasonable transferability of the GNN model outside of the training data. Our study offers valuable insights for deriving systematically improvable implicit solvent models and CG force fields from a bottom-up perspective.
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Affiliation(s)
- Justin Airas
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139-4307, United
States
| | - Xinqiang Ding
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139-4307, United
States
| | - Bin Zhang
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139-4307, United
States
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4
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Maruyama Y, Mitsutake A. Effect of Main and Side Chains on the Folding Mechanism of the Trp-Cage Miniprotein. ACS OMEGA 2023; 8:43827-43835. [PMID: 38027385 PMCID: PMC10666239 DOI: 10.1021/acsomega.3c05809] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/07/2023] [Revised: 09/19/2023] [Accepted: 10/27/2023] [Indexed: 12/01/2023]
Abstract
Proteins that do not fold into their functional native state have been linked to diseases. In this study, the influence of the main and side chains of individual amino acids on the folding of the tryptophan cage (Trp-cage), a designed 20-residue miniprotein, was analyzed. For this purpose, we calculated the solvation free energy (SFE) contributions of individual atoms by using the 3D-reference interaction site model with the atomic decomposition method. The mechanism by which the Trp-cage is stabilized during the folding process was examined by calculating the total energy, which is the sum of the conformational energy and SFE. The folding process of the Trp-cage resulted in a stable native state, with a total energy that was 62.4 kcal/mol lower than that of the unfolded state. The solvation entropy, which is considered to be responsible for the hydrophobic effect, contributed 31.3 kcal/mol to structural stabilization. In other words, the contribution of the solvation entropy accounted for approximately half of the total contribution to Trp-cage folding. The hydrophobic core centered on Trp6 contributed 15.6 kcal/mol to the total energy, whereas the solvation entropy contribution was 6.3 kcal/mol. The salt bridge formed by the hydrophilic side chains of Asp9 and Arg16 contributed 10.9 and 5.0 kcal/mol, respectively. This indicates that not only the hydrophobic core but also the salt bridge of the hydrophilic side chains gain solvation entropy and contribute to stabilizing the native structure of the Trp-cage.
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Affiliation(s)
- Yutaka Maruyama
- Data
Science Center for Creative Design and Manufacturing, The Institute of Statistical Mathematics, 10-3 Midori-cho, Tachikawa, Tokyo 190-8562, Japan
- Department
of Physics, School of Science and Technology, Meiji University, 1-1-1
Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa 214-8571, Japan
| | - Ayori Mitsutake
- Department
of Physics, School of Science and Technology, Meiji University, 1-1-1
Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa 214-8571, Japan
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5
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Airas J, Ding X, Zhang B. Transferable Coarse Graining via Contrastive Learning of Graph Neural Networks. BIORXIV : THE PREPRINT SERVER FOR BIOLOGY 2023:2023.09.08.556923. [PMID: 37745447 PMCID: PMC10515757 DOI: 10.1101/2023.09.08.556923] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/26/2023]
Abstract
Coarse-grained (CG) force fields are essential for molecular dynamics simulations of biomolecules, striking a balance between computational efficiency and biological realism. These simulations employ simplified models grouping atoms into interaction sites, enabling the study of complex biomolecular systems over biologically relevant timescales. Efforts are underway to develop accurate and transferable CG force fields, guided by a bottom-up approach that matches the CG energy function with the potential of mean force (PMF) defined by the finer system. However, practical challenges arise due to many-body effects, lack of analytical expressions for the PMF, and limitations in parameterizing CG force fields. To address these challenges, a machine learning-based approach is proposed, utilizing graph neural networks (GNNs) to represent CG force fields and potential contrasting for parameterization from atomistic simulation data. We demonstrate the effectiveness of the approach by deriving a transferable GNN implicit solvent model using 600,000 atomistic configurations of six proteins obtained from explicit solvent simulations. The GNN model provides solvation free energy estimations much more accurately than state-of-the-art implicit solvent models, reproducing configurational distributions of explicit solvent simulations. We also demonstrate the reasonable transferability of the GNN model outside the training data. Our study offers valuable insights for building accurate coarse-grained models bottom-up.
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Affiliation(s)
- Justin Airas
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA, USA
| | - Xinqiang Ding
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA, USA
| | - Bin Zhang
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA, USA
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6
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Maruyama Y, Igarashi R, Ushiku Y, Mitsutake A. Analysis of Protein Folding Simulation with Moving Root Mean Square Deviation. J Chem Inf Model 2023; 63:1529-1541. [PMID: 36821519 PMCID: PMC10015464 DOI: 10.1021/acs.jcim.2c01444] [Citation(s) in RCA: 6] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/24/2023]
Abstract
We apply moving root-mean-square deviation (mRMSD), which does not require a reference structure, as a method for analyzing protein dynamics. This method can be used to calculate the root-mean-square deviation (RMSD) of structure between two specified time points and to analyze protein dynamics behavior through time series analysis. We applied this method to the Trp-cage trajectory calculated by the Anton supercomputer and found that it shows regions of stable states as well as the conventional RMSD. In addition, we extracted a characteristic structure in which the side chains of Asp1 and Arg16 form hydrogen bonds near the most stable structure of the Trp-cage. We also determined that ≥20 ns is an appropriate time interval to investigate protein dynamics using mRMSD. Applying this method to NuG2 protein, we found that mRMSD can be used to detect regions of metastable states in addition to the stable state. This method can be applied to molecular dynamics simulations of proteins whose stable structures are unknown.
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Affiliation(s)
- Yutaka Maruyama
- OMRON SINIC X Corporation, Tokyo 113-0033, Japan.,Department of Physics, School of Science and Technology, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa 214-8571, Japan
| | - Ryo Igarashi
- OMRON SINIC X Corporation, Tokyo 113-0033, Japan
| | | | - Ayori Mitsutake
- Department of Physics, School of Science and Technology, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa 214-8571, Japan
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7
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Wu H, Ghaani MR, Futera Z, English NJ. Effects of Externally Applied Electric Fields on the Manipulation of Solvated-Chignolin Folding: Static- versus Alternating-Field Dichotomy at Play. J Phys Chem B 2022; 126:376-386. [PMID: 35001614 PMCID: PMC8785190 DOI: 10.1021/acs.jpcb.1c06857] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/03/2021] [Revised: 12/06/2021] [Indexed: 12/20/2022]
Abstract
The interaction between a protein and external electric field (EF) can alter its structure and dynamical behavior, which has a potential impact on the biological function of proteins and cause uncertain health consequences. Conversely, the application of EFs of judiciously selected intensity and frequency can help to treat disease, and optimization of this requires a greater understanding of EF-induced effects underpinning basic protein biophysics. In the present study, chignolin─an artificial protein sufficiently small to undergo fast-folding events and transitions─was selected as an ideal prototype to investigate how, and to what extent, externally applied electric fields may manipulate or influence protein-folding phenomena. Nonequilibrium molecular dynamics (NEMD) simulations have been performed of solvated chignolin to determine the distribution of folding states and their underlying transition dynamics, in the absence and presence of externally applied electric fields (both static and alternating); a key focus has been to ascertain how folding pathways are altered in an athermal sense by external fields. Compared to zero-field conditions, a dramatically different─indeed, bifurcated─behavior of chignolin-folding processes emerges between static- and alternating-field scenarios, especially vis-à-vis incipient stages of hydrophobic-core formation: in alternating fields, fold-state populations diversified, with an attendant acceleration of state-hopping folding kinetics, featuring the concomitant emergence of a new, quasi-stable structure compared to the native structure, in field-shifted energy landscapes.
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Affiliation(s)
- HaoLun Wu
- School
of Chemical & Bioprocess Engineering, University College Dublin, Belfield, Dublin 4, Ireland
| | - Mohammad Reza Ghaani
- School
of Chemical & Bioprocess Engineering, University College Dublin, Belfield, Dublin 4, Ireland
| | - Zdeněk Futera
- Faculty
of Science, University of South Bohemia, České Budějovice 370 05, Czech Republic
| | - Niall J. English
- School
of Chemical & Bioprocess Engineering, University College Dublin, Belfield, Dublin 4, Ireland
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8
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Iwaoka M, Yoshida K, Shimosato T. Application of a Distance-Dependent Sigmoidal Dielectric Constant to the REMC/SAAP3D Simulations of Chignolin, Trp-Cage, and the G10q Mutant. Protein J 2020; 39:402-410. [PMID: 33108545 DOI: 10.1007/s10930-020-09936-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 10/22/2020] [Indexed: 11/26/2022]
Abstract
The replica-exchange Monte Carlo method based on the single amino acid potential (SAAP) force field, i.e., REMC/SAAP3D, was recently developed by our group for the molecular simulation of short peptides. In this study, the method has been improved by applying a distance-dependent dielectric (DDD) constant and extended to the peptides containing D-amino acid (AA) residues. For chignolin (10 AAs), a sigmoidal DDD model reasonably allocated the native-like β-hairpin structure with all-atom root mean square deviation (RMSD) = 2.0 Å as a global energy minimum. The optimal DDD condition was subsequently applied for Trp-cage (20 AAs) and its G10q mutant. The native-like α-rich folded structures with main-chain RMSD = 3.7 and 3.8 Å were obtained as global energy minima for Trp-cage and G10q, respectively. The results suggested that the REMC/SAAP3D method with the sigmoidal DDD model is useful for structural prediction for the short peptides comprised of up to 20 AAs. In addition, the relative contributions of SAAP to the total energy (%SAAP) were evaluated by energetic component analysis. The ratios of %SAAP were about 40 and 20% for chignolin and Trp-cage (or G10q), respectively. It was proposed that SAAP is more important for the secondary structure formation than for the assembly to a higher-order folded structure, in which the attractive van der Waals interaction may play a more important role.
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Affiliation(s)
- Michio Iwaoka
- Department of Chemistry, School of Science, Tokai University, Kitakaname, Hiratsuka-shi, Kanagawa, 259-1292, Japan.
| | - Koji Yoshida
- Department of Chemistry, School of Science, Tokai University, Kitakaname, Hiratsuka-shi, Kanagawa, 259-1292, Japan
| | - Taku Shimosato
- Department of Chemistry, School of Science, Tokai University, Kitakaname, Hiratsuka-shi, Kanagawa, 259-1292, Japan
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