Systematic Coarse-graining of a Multicomponent Lipid BilayerClick to copy article linkArticle link copied!
Abstract
A solvent-free coarse-grained model for a 1:1 mixed dioleoylphosphatidylcholine (DOPC) and a dioleoylphospatidylethanolamine (DOPE) bilayer is developed using the multiscale coarse-graining (MS-CG) approach. B-spline basis functions are implemented instead of the original cubic spline basis functions in the MS-CG method. The new B-spline basis functions are able to dramatically reduce memory requirements and increase computational efficiency of the MS-CG calculation. Various structural properties from the CG simulations are compared with their corresponding all-atom counterpart in order to validate the CG model. The resulting CG structural properties agree well with atomistic results, which shows that the MS-CG force field can reasonably approximate the many-body potential of mean force in the coarse-grained coordinates. Fast lipid lateral diffusion in the CG simulations, as a result of smoother free energy landscape, makes the study of phase behavior of the binary mixture possible. Small clusters of distinct lipid composition are identified by analyzing the DOPC/DOPE lipid lateral distribution, indicating a nonuniform distribution for the mixed bilayer. The results of lipid phase behavior are compared to experimental results, and connections between the experimental and simulation conclusions are discussed.
Cited By
This article is cited by 99 publications.
- Patrick G. Sahrmann, Gregory A. Voth. Enhancing the Assembly Properties of Bottom-Up Coarse-Grained Phospholipids. Journal of Chemical Theory and Computation 2024, 20
(22)
, 10235-10246. https://doi.org/10.1021/acs.jctc.4c00905
- Sergei Izvekov, Matthew P. Kroonblawd, James P. Larentzos, John K. Brennan, Betsy M. Rice. Maximum Entropy Theory of Multiscale Coarse-Graining via Matching Thermodynamic Forces: Application to a Molecular Crystal (TATB). The Journal of Physical Chemistry B 2024, 128
(12)
, 2955-2971. https://doi.org/10.1021/acs.jpcb.3c07078
- Yuxing Peng, Alexander J. Pak, Aleksander E. P. Durumeric, Patrick G. Sahrmann, Sriramvignesh Mani, Jaehyeok Jin, Timothy D. Loose, Jeriann Beiter, Gregory A. Voth. OpenMSCG: A Software Tool for Bottom-Up Coarse-Graining. The Journal of Physical Chemistry B 2023, 127
(40)
, 8537-8550. https://doi.org/10.1021/acs.jpcb.3c04473
- Patrick G. Sahrmann, Timothy D. Loose, Aleksander E. P. Durumeric, Gregory A. Voth. Utilizing Machine Learning to Greatly Expand the Range and Accuracy of Bottom-Up Coarse-Grained Models through Virtual Particles. Journal of Chemical Theory and Computation 2023, 19
(14)
, 4402-4413. https://doi.org/10.1021/acs.jctc.2c01183
- Archita Maiti, Abhay Kumar, Snehasis Daschakraborty. How Do Cyclopropane Fatty Acids Protect the Cell Membrane of Escherichia coli in Cold Shock?. The Journal of Physical Chemistry B 2023, 127
(7)
, 1607-1617. https://doi.org/10.1021/acs.jpcb.3c00541
- Jaehyeok Jin, Alexander J. Pak, Aleksander E. P. Durumeric, Timothy D. Loose, Gregory A. Voth. Bottom-up Coarse-Graining: Principles and Perspectives. Journal of Chemical Theory and Computation 2022, 18
(10)
, 5759-5791. https://doi.org/10.1021/acs.jctc.2c00643
- Shakkira Erimban, Snehasis Daschakraborty. Homeoviscous Adaptation of the Lipid Membrane of a Soil Bacterium Surviving under Diurnal Temperature Variation: A Molecular Simulation Perspective. The Journal of Physical Chemistry B 2022, 126
(39)
, 7638-7650. https://doi.org/10.1021/acs.jpcb.2c01359
- Yuwei Zhang, Yunchu Wang, Fei Xia, Zexing Cao, Xin Xu. Accurate and Efficient Estimation of Lennard–Jones Interactions for Coarse-Grained Particles via a Potential Matching Method. Journal of Chemical Theory and Computation 2022, 18
(8)
, 4879-4890. https://doi.org/10.1021/acs.jctc.2c00513
- Charly Empereur-Mot, Luca Pesce, Giovanni Doni, Davide Bochicchio, Riccardo Capelli, Claudio Perego, Giovanni M. Pavan. Swarm-CG: Automatic Parametrization of Bonded Terms in MARTINI-Based Coarse-Grained Models of Simple to Complex Molecules via Fuzzy Self-Tuning Particle Swarm Optimization. ACS Omega 2020, 5
(50)
, 32823-32843. https://doi.org/10.1021/acsomega.0c05469
- Alison
N. Leonard, Eric Wang, Viviana Monje-Galvan, Jeffery B. Klauda. Developing and Testing of Lipid Force Fields with Applications to Modeling Cellular Membranes. Chemical Reviews 2019, 119
(9)
, 6227-6269. https://doi.org/10.1021/acs.chemrev.8b00384
- Siewert J. Marrink, Valentina Corradi, Paulo C.T. Souza, Helgi I. Ingólfsson, D. Peter Tieleman, Mark S.P. Sansom. Computational Modeling of Realistic Cell Membranes. Chemical Reviews 2019, 119
(9)
, 6184-6226. https://doi.org/10.1021/acs.chemrev.8b00460
- Alexander
J. Pak, Thomas Dannenhoffer-Lafage, Jesper J. Madsen, Gregory A. Voth. Systematic Coarse-Grained Lipid Force Fields with Semiexplicit Solvation via Virtual Sites. Journal of Chemical Theory and Computation 2019, 15
(3)
, 2087-2100. https://doi.org/10.1021/acs.jctc.8b01033
- James F. Dama, Jaehyeok Jin, and Gregory A. Voth . The Theory of Ultra-Coarse-Graining. 3. Coarse-Grained Sites with Rapid Local Equilibrium of Internal States. Journal of Chemical Theory and Computation 2017, 13
(3)
, 1010-1022. https://doi.org/10.1021/acs.jctc.6b01081
- Qiang Cui, Rigoberto Hernandez, Sara E. Mason, Thomas Frauenheim, Joel A. Pedersen, and Franz Geiger . Sustainable Nanotechnology: Opportunities and Challenges for Theoretical/Computational Studies. The Journal of Physical Chemistry B 2016, 120
(30)
, 7297-7306. https://doi.org/10.1021/acs.jpcb.6b03976
- Emily M. Curtis, Xingqing Xiao, Stavroula Sofou, and Carol K. Hall . Phase Separation Behavior of Mixed Lipid Systems at Neutral and Low pH: Coarse-Grained Simulations with DMD/LIME. Langmuir 2015, 31
(3)
, 1086-1094. https://doi.org/10.1021/la504082x
- Clément Arnarez, Jaakko J. Uusitalo, Marcelo F. Masman, Helgi I. Ingólfsson, Djurre H. de Jong, Manuel N. Melo, Xavier Periole, Alex H. de Vries, and Siewert J. Marrink . Dry Martini, a Coarse-Grained Force Field for Lipid Membrane Simulations with Implicit Solvent. Journal of Chemical Theory and Computation 2015, 11
(1)
, 260-275. https://doi.org/10.1021/ct500477k
- Casey T. Andrews and Adrian H. Elcock . COFFDROP: A Coarse-Grained Nonbonded Force Field for Proteins Derived from All-Atom Explicit-Solvent Molecular Dynamics Simulations of Amino Acids. Journal of Chemical Theory and Computation 2014, 10
(11)
, 5178-5194. https://doi.org/10.1021/ct5006328
- Anand Srivastava and Gregory A. Voth . Solvent-Free, Highly Coarse-Grained Models for Charged Lipid Systems. Journal of Chemical Theory and Computation 2014, 10
(10)
, 4730-4744. https://doi.org/10.1021/ct500474a
- Parimal Kar, Srinivasa Murthy Gopal, Yi-Ming Cheng, Afra Panahi, and Michael Feig . Transferring the PRIMO Coarse-Grained Force Field to the Membrane Environment: Simulations of Membrane Proteins and Helix–Helix Association. Journal of Chemical Theory and Computation 2014, 10
(8)
, 3459-3472. https://doi.org/10.1021/ct500443v
- Sarah Lee, Alan Tran, Matthew Allsopp, Joseph B. Lim, Jérôme Hénin, and Jeffery B. Klauda . CHARMM36 United Atom Chain Model for Lipids and Surfactants. The Journal of Physical Chemistry B 2014, 118
(2)
, 547-556. https://doi.org/10.1021/jp410344g
- Zhen Cao, James F. Dama, Lanyuan Lu, and Gregory A. Voth . Solvent Free Ionic Solution Models from Multiscale Coarse-Graining. Journal of Chemical Theory and Computation 2013, 9
(1)
, 172-178. https://doi.org/10.1021/ct3007277
- Anand Srivastava and Gregory A. Voth . Hybrid Approach for Highly Coarse-Grained Lipid Bilayer Models. Journal of Chemical Theory and Computation 2013, 9
(1)
, 750-765. https://doi.org/10.1021/ct300751h
- Joseph F. Rudzinski and William G. Noid . The Role of Many-Body Correlations in Determining Potentials for Coarse-Grained Models of Equilibrium Structure. The Journal of Physical Chemistry B 2012, 116
(29)
, 8621-8635. https://doi.org/10.1021/jp3002004
- Hiroaki Saito and Wataru Shinoda . Cholesterol Effect on Water Permeability through DPPC and PSM Lipid Bilayers: A Molecular Dynamics Study. The Journal of Physical Chemistry B 2011, 115
(51)
, 15241-15250. https://doi.org/10.1021/jp201611p
- Zhe Wu, Qiang Cui, and Arun Yethiraj . A New Coarse-Grained Force Field for Membrane–Peptide Simulations. Journal of Chemical Theory and Computation 2011, 7
(11)
, 3793-3802. https://doi.org/10.1021/ct200593t
- Ian F. Thorpe, David P. Goldenberg, and Gregory A. Voth . Exploration of Transferability in Multiscale Coarse-Grained Peptide Models. The Journal of Physical Chemistry B 2011, 115
(41)
, 11911-11926. https://doi.org/10.1021/jp204455g
- Björn Sommer, Tim Dingersen, Christian Gamroth, Sebastian E. Schneider, Sebastian Rubert, Jens Krüger, and Karl-Josef Dietz . CELLmicrocosmos 2.2 MembraneEditor: A Modular Interactive Shape-Based Software Approach To Solve Heterogeneous Membrane Packing Problems. Journal of Chemical Information and Modeling 2011, 51
(5)
, 1165-1182. https://doi.org/10.1021/ci1003619
- Yanting Wang and Gregory A. Voth . Molecular Dynamics Simulations of Polyglutamine Aggregation Using Solvent-Free Multiscale Coarse-Grained Models. The Journal of Physical Chemistry B 2010, 114
(26)
, 8735-8743. https://doi.org/10.1021/jp1007768
- J. W. Mullinax and W. G. Noid. A Generalized-Yvon−Born−Green Theory for Determining Coarse-Grained Interaction Potentials. The Journal of Physical Chemistry C 2010, 114
(12)
, 5661-5674. https://doi.org/10.1021/jp9073976
- Lanyuan Lu, Sergei Izvekov, Avisek Das, Hans C. Andersen and Gregory A. Voth. Efficient, Regularized, and Scalable Algorithms for Multiscale Coarse-Graining. Journal of Chemical Theory and Computation 2010, 6
(3)
, 954-965. https://doi.org/10.1021/ct900643r
- Davide Alemani, Francesca Collu, Michele Cascella and Matteo Dal Peraro . A Nonradial Coarse-Grained Potential for Proteins Produces Naturally Stable Secondary Structure Elements. Journal of Chemical Theory and Computation 2010, 6
(1)
, 315-324. https://doi.org/10.1021/ct900457z
- Mohsen Sadeghi, David Rosenberger. Dynamic framework for large-scale modeling of membranes and peripheral proteins. 2024, 457-514. https://doi.org/10.1016/bs.mie.2024.03.018
- Jaehyeok Jin, Jisung Hwang, Gregory A. Voth. Gaussian representation of coarse-grained interactions of liquids: Theory, parametrization, and transferability. The Journal of Chemical Physics 2023, 159
(18)
https://doi.org/10.1063/5.0160567
- Jaehyeok Jin, Yining Han, Alexander J. Pak, Gregory A. Voth. A new one-site coarse-grained model for water: Bottom-up many-body projected water (BUMPer). I. General theory and model. The Journal of Chemical Physics 2021, 154
(4)
https://doi.org/10.1063/5.0026651
- Chun Chan, Shi Du, Yizhou Dong, Xiaolin Cheng. Computational and Experimental Approaches to Investigate Lipid Nanoparticles as Drug and Gene Delivery Systems. Current Topics in Medicinal Chemistry 2021, 21
(2)
, 92-114. https://doi.org/10.2174/1568026620666201126162945
- Diego Ugarte La Torre, Shoji Takada. Coarse-grained implicit solvent lipid force field with a compatible resolution to the Cα protein representation. The Journal of Chemical Physics 2020, 153
(20)
https://doi.org/10.1063/5.0026342
- Fengxuan Jiao, Jianbing Sang, Zhaoyang Liu, Wei Liu, Weiguang Liang. Effect of concentration of PEG coated gold nanoparticle on lung surfactant studied with coarse-grained molecular dynamics simulations. Biophysical Chemistry 2020, 266 , 106457. https://doi.org/10.1016/j.bpc.2020.106457
- Kathryn M. Lebold, W. G. Noid. Dual-potential approach for coarse-grained implicit solvent models with accurate, internally consistent energetics and predictive transferability. The Journal of Chemical Physics 2019, 151
(16)
https://doi.org/10.1063/1.5125246
- Marc Baaden. Visualizing Biological Membrane Organization and Dynamics. Journal of Molecular Biology 2019, 431
(10)
, 1889-1919. https://doi.org/10.1016/j.jmb.2019.02.018
- Saeed Mortezazadeh, Yousef Jamali, Hossein Naderi-Manesh, Alexander P. Lyubartsev, . Implicit solvent systematic coarse-graining of dioleoylphosphatidylethanolamine lipids: From the inverted hexagonal to the bilayer structure. PLOS ONE 2019, 14
(4)
, e0214673. https://doi.org/10.1371/journal.pone.0214673
- Thomas D. Potter, Jos Tasche, Mark R. Wilson. Assessing the transferability of common top-down and bottom-up coarse-grained molecular models for molecular mixtures. Physical Chemistry Chemical Physics 2019, 21
(4)
, 1912-1927. https://doi.org/10.1039/C8CP05889J
- Liangzhen Zheng, Amr A. Alhossary, Chee-Keong Kwoh, Yuguang Mu. Molecular Dynamics and Simulation. 2019, 550-566. https://doi.org/10.1016/B978-0-12-809633-8.20284-7
- Andrea Grafmüller. Multiscale (re)modeling of lipid bilayer membranes. 2019, 39-104. https://doi.org/10.1016/bs.abl.2019.09.002
- Xiang Yu, Meenakshi Dutt. A multiscale approach to study molecular and interfacial characteristics of vesicles. Molecular Systems Design & Engineering 2018, 3
(6)
, 883-895. https://doi.org/10.1039/C8ME00029H
- Michail Palaiokostas, Wei Ding, Ganesh Shahane, Mario Orsi. Effects of lipid composition on membrane permeation. Soft Matter 2018, 14
(42)
, 8496-8508. https://doi.org/10.1039/C8SM01262H
- Mingwei Wan, Lianghui Gao, Weihai Fang, . Implicit-solvent dissipative particle dynamics force field based on a four-to-one coarse-grained mapping scheme. PLOS ONE 2018, 13
(5)
, e0198049. https://doi.org/10.1371/journal.pone.0198049
- Mijo Simunovic, Gregory A. Voth. Simulating Protein-Mediated Membrane Remodeling at Multiple Scales. 2018, 351-384. https://doi.org/10.1007/978-3-030-00630-3_14
- Ronald D. Hills, Jr. Refining amino acid hydrophobicity for dynamics simulation of membrane proteins. PeerJ 2018, 6 , e4230. https://doi.org/10.7717/peerj.4230
- Pavel Buslaev, Ivan Gushchin. Effects of Coarse Graining and Saturation of Hydrocarbon Chains on Structure and Dynamics of Simulated Lipid Molecules. Scientific Reports 2017, 7
(1)
https://doi.org/10.1038/s41598-017-11761-5
- M. Aldeghi, P.C. Biggin. Advances in Molecular Simulation. 2017, 14-33. https://doi.org/10.1016/B978-0-12-409547-2.12343-1
- Daniela Lopes, Sven Jakobtorweihen, Cláudia Nunes, Bruno Sarmento, Salette Reis. Shedding light on the puzzle of drug-membrane interactions: Experimental techniques and molecular dynamics simulations. Progress in Lipid Research 2017, 65 , 24-44. https://doi.org/10.1016/j.plipres.2016.12.001
- Yan Xu, Li Deng, Hao Ren, Xianren Zhang, Fang Huang, Tongtao Yue. Transport of nanoparticles across pulmonary surfactant monolayer: a molecular dynamics study. Physical Chemistry Chemical Physics 2017, 19
(27)
, 17568-17576. https://doi.org/10.1039/C7CP02548C
- Jacob Fosso-Tande, Cody Black, Stephen G. Aller, Lanyuan Lu, Ronald D. Hills Jr, , , . Simulation of lipid-protein interactions with the CgProt force field. AIMS Molecular Science 2017, 4
(3)
, 352-369. https://doi.org/10.3934/molsci.2017.3.352
- Aram Davtyan, Gregory A. Voth, Hans C. Andersen. Dynamic force matching: Construction of dynamic coarse-grained models with realistic short time dynamics and accurate long time dynamics. The Journal of Chemical Physics 2016, 145
(22)
https://doi.org/10.1063/1.4971430
- Alexander P. Lyubartsev, Alexander L. Rabinovich. Force Field Development for Lipid Membrane Simulations. Biochimica et Biophysica Acta (BBA) - Biomembranes 2016, 1858
(10)
, 2483-2497. https://doi.org/10.1016/j.bbamem.2015.12.033
- Aram Davtyan, Mijo Simunovic, Gregory A. Voth. Multiscale simulations of protein-facilitated membrane remodeling. Journal of Structural Biology 2016, 196
(1)
, 57-63. https://doi.org/10.1016/j.jsb.2016.06.012
- Ronald D. Hills, Nicholas McGlinchey. Model parameters for simulation of physiological lipids. Journal of Computational Chemistry 2016, 37
(12)
, 1112-1118. https://doi.org/10.1002/jcc.24324
- Tongtao Yue, Yan Xu, Shixin Li, Xianren Zhang, Fang Huang. Lipid extraction mediates aggregation of carbon nanospheres in pulmonary surfactant monolayers. Physical Chemistry Chemical Physics 2016, 18
(28)
, 18923-18933. https://doi.org/10.1039/C6CP01957A
- Chun Chan, Haohua Wen, Lanyuan Lu, Jun Fan. Multiscale molecular dynamics simulations of membrane remodeling by Bin/Amphiphysin/Rvs family proteins. Chinese Physics B 2016, 25
(1)
, 018707. https://doi.org/10.1088/1674-1056/25/1/018707
- M. Maiolo, A. Vancheri, R. Krause, A. Danani. Wavelets as basis functions to represent the coarse-graining potential in multiscale coarse graining approach. Journal of Computational Physics 2015, 300 , 592-604. https://doi.org/10.1016/j.jcp.2015.07.039
- Aram Davtyan, James F. Dama, Gregory A. Voth, Hans C. Andersen. Dynamic force matching: A method for constructing dynamical coarse-grained models with realistic time dependence. The Journal of Chemical Physics 2015, 142
(15)
https://doi.org/10.1063/1.4917454
- Tongtao Yue, Xiaojuan Wang, Xianren Zhang, Fang Huang. Molecular modeling of interaction between lipid monolayer and graphene nanosheets: implications for pulmonary nanotoxicity and pulmonary drug delivery. RSC Advances 2015, 5
(38)
, 30092-30106. https://doi.org/10.1039/C5RA04922A
- Tomasz Róg, Ilpo Vattulainen. Cholesterol, sphingolipids, and glycolipids: What do we know about their role in raft-like membranes?. Chemistry and Physics of Lipids 2014, 184 , 82-104. https://doi.org/10.1016/j.chemphyslip.2014.10.004
- Nicolas Leconte, Frank Ortmann, Alessandro Cresti, Jean-Christophe Charlier, Stephan Roche. Quantum transport in chemically functionalized graphene at high magnetic field: defect-induced critical states and breakdown of electron-hole symmetry. 2D Materials 2014, 1
(2)
, 021001. https://doi.org/10.1088/2053-1583/1/2/021001
- Themis Lazaridis, Rodney Versace. The Treatment of Solvent in Multiscale Biophysical Modeling. Israel Journal of Chemistry 2014, 54
(8-9)
, 1074-1083. https://doi.org/10.1002/ijch.201400006
- Alexander Mirzoev, Alexander P. Lyubartsev. Systematic implicit solvent coarse graining of dimyristoylphosphatidylcholine lipids. Journal of Computational Chemistry 2014, 35
(16)
, 1208-1218. https://doi.org/10.1002/jcc.23610
- Helgi I. Ingólfsson, Cesar A. Lopez, Jaakko J. Uusitalo, Djurre H. de Jong, Srinivasa M. Gopal, Xavier Periole, Siewert J. Marrink. The power of coarse graining in biomolecular simulations. WIREs Computational Molecular Science 2014, 4
(3)
, 225-248. https://doi.org/10.1002/wcms.1169
- Xubo Lin, Tingting Bai, Yi Y. Zuo, Ning Gu. Promote potential applications of nanoparticles as respiratory drug carrier: insights from molecular dynamics simulations. Nanoscale 2014, 6
(5)
, 2759-2767. https://doi.org/10.1039/C3NR04163H
- Lanyuan Lu, James F. Dama, Gregory A. Voth. Fitting coarse-grained distribution functions through an iterative force-matching method. The Journal of Chemical Physics 2013, 139
(12)
https://doi.org/10.1063/1.4811667
- W. G. Noid. Perspective: Coarse-grained models for biomolecular systems. The Journal of Chemical Physics 2013, 139
(9)
https://doi.org/10.1063/1.4818908
- A. L. Rabinovich, A. P. Lyubartsev. Computer simulation of lipid membranes: Methodology and achievements. Polymer Science Series C 2013, 55
(1)
, 162-180. https://doi.org/10.1134/S1811238213070060
- Yanping Chen, Yunfeng Shi. Dynamic self assembly of confined active nanoparticles. Chemical Physics Letters 2013, 557 , 76-79. https://doi.org/10.1016/j.cplett.2012.11.073
- W. G. Noid. Systematic Methods for Structurally Consistent Coarse-Grained Models. 2013, 487-531. https://doi.org/10.1007/978-1-62703-017-5_19
- Mario Orsi, Jonathan W. Essex. Physical properties of mixed bilayers containing lamellar and nonlamellar lipids: insights from coarse-grain molecular dynamics simulations. Faraday Discuss. 2013, 161 , 249-272. https://doi.org/10.1039/C2FD20110K
- Chris Knight, Gerrick E. Lindberg, Gregory A. Voth. Multiscale reactive molecular dynamics. The Journal of Chemical Physics 2012, 137
(22)
https://doi.org/10.1063/1.4743958
- Andrew B. Ward, Olgun Guvench, Ronald D. Hills. Coarse grain lipid–protein molecular interactions and diffusion with MsbA flippase. Proteins: Structure, Function, and Bioinformatics 2012, 80
(9)
, 2178-2190. https://doi.org/10.1002/prot.24108
- Avisek Das, Hans C. Andersen. The multiscale coarse-graining method. VIII. Multiresolution hierarchical basis functions and basis function selection in the construction of coarse-grained force fields. The Journal of Chemical Physics 2012, 136
(19)
https://doi.org/10.1063/1.4705384
- Avisek Das, Hans C. Andersen. The multiscale coarse-graining method. IX. A general method for construction of three body coarse-grained force fields. The Journal of Chemical Physics 2012, 136
(19)
https://doi.org/10.1063/1.4705417
- Avisek Das, Lanyuan Lu, Hans C. Andersen, Gregory A. Voth. The multiscale coarse-graining method. X. Improved algorithms for constructing coarse-grained potentials for molecular systems. The Journal of Chemical Physics 2012, 136
(19)
https://doi.org/10.1063/1.4705420
- Chris Knight, Gregory A. Voth. Coarse-graining away electronic structure: a rigorous route to accurate condensed phase interaction potentials. Molecular Physics 2012, 110
(9-10)
, 935-944. https://doi.org/10.1080/00268976.2012.668621
- Lanyuan Lu, Gregory A. Voth. The Multiscale Coarse‐Graining Method. 2012, 47-81. https://doi.org/10.1002/9781118180396.ch2
- D. Harries, G. Khelashvili. 9.4 Coarse Grained Methods: Applications to Membranes. 2012, 53-75. https://doi.org/10.1016/B978-0-12-374920-8.00905-X
- Christopher R. Ellis, Joseph F. Rudzinski, William G. Noid. Generalized‐Yvon–Born–Green Model of Toluene. Macromolecular Theory and Simulations 2011, 20
(7)
, 478-495. https://doi.org/10.1002/mats.201100022
- Lanyuan Lu, Gregory A. Voth. The multiscale coarse-graining method. VII. Free energy decomposition of coarse-grained effective potentials. The Journal of Chemical Physics 2011, 134
(22)
https://doi.org/10.1063/1.3599049
- Bonnie A. Merchant, Jeffry D. Madura. A Review of Coarse-Grained Molecular Dynamics Techniques to Access Extended Spatial and Temporal Scales in Biomolecular Simulations. 2011, 67-87. https://doi.org/10.1016/B978-0-444-53835-2.00003-1
- Alexander P. Lyubartsev, Alexander L. Rabinovich. Recent development in computer simulations of lipid bilayers. Soft Matter 2011, 7
(1)
, 25-39. https://doi.org/10.1039/C0SM00457J
- Gary S. Ayton, Gregory A. Voth. Multiscale Computer Simulation of the Immature HIV-1 Virion. Biophysical Journal 2010, 99
(9)
, 2757-2765. https://doi.org/10.1016/j.bpj.2010.08.018
- Max L. Berkowitz, James T. Kindt. Molecular Detailed Simulations of Lipid Bilayers. 2010, 253-286. https://doi.org/10.1002/9780470890905.ch5
- Zun-Jing Wang, Markus Deserno. Systematic implicit solvent coarse-graining of bilayer membranes: lipid and phase transferability of the force field. New Journal of Physics 2010, 12
(9)
, 095004. https://doi.org/10.1088/1367-2630/12/9/095004
- Ronald D. Hills, Lanyuan Lu, Gregory A. Voth, . Multiscale Coarse-Graining of the Protein Energy Landscape. PLoS Computational Biology 2010, 6
(6)
, e1000827. https://doi.org/10.1371/journal.pcbi.1000827
- Yong Jiang, Hao Wang, James T. Kindt. Atomistic Simulations of Bicelle Mixtures. Biophysical Journal 2010, 98
(12)
, 2895-2903. https://doi.org/10.1016/j.bpj.2010.03.042
- Gary S. Ayton, Gregory A. Voth. Multiscale simulation of protein mediated membrane remodeling. Seminars in Cell & Developmental Biology 2010, 21
(4)
, 357-362. https://doi.org/10.1016/j.semcdb.2009.11.011
- Avisek Das, Hans C. Andersen. The multiscale coarse-graining method. V. Isothermal-isobaric ensemble. The Journal of Chemical Physics 2010, 132
(16)
https://doi.org/10.1063/1.3394862
- Luca Larini, Lanyuan Lu, Gregory A. Voth. The multiscale coarse-graining method. VI. Implementation of three-body coarse-grained potentials. The Journal of Chemical Physics 2010, 132
(16)
https://doi.org/10.1063/1.3394863
- George Khelashvili, Daniel Harries. Modeling Signaling Processes across Cellular Membranes Using a Mesoscopic Approach. 2010, 236-261. https://doi.org/10.1016/S1574-1400(10)06012-3
- Gary S. Ayton, Edward Lyman, Gregory A. Voth. Hierarchical coarse-graining strategy for protein-membrane systems to access mesoscopic scales. Faraday Discuss. 2010, 144 , 347-357. https://doi.org/10.1039/B901996K
- Hyung Min Cho, Jhih-Wei Chu. Inversion of radial distribution functions to pair forces by solving the Yvon–Born–Green equation iteratively. The Journal of Chemical Physics 2009, 131
(13)
https://doi.org/10.1063/1.3238547
- Avisek Das, Hans C. Andersen. The multiscale coarse-graining method. III. A test of pairwise additivity of the coarse-grained potential and of new basis functions for the variational calculation. The Journal of Chemical Physics 2009, 131
(3)
https://doi.org/10.1063/1.3173812
- Gary S Ayton, Gregory A Voth. Systematic multiscale simulation of membrane protein systems. Current Opinion in Structural Biology 2009, 19
(2)
, 138-144. https://doi.org/10.1016/j.sbi.2009.03.001
Article Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.
Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.
The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated.