Abstract
Actin is an important cytoskeletal protein that serves as a building block to form filament networks that span across the cell. These networks are orchestrated by a myriad of other cytoskeletal entities including the unbranched filament–forming protein formin and branched network–forming protein complex Arp2/3. Computational models have been able to provide insights into many important structural transitions that are involved in forming these networks, and into the nature of interactions essential for actin filament formation and for regulating the behavior of actin-associated proteins. In this review, we summarize a subset of such models that focus on the atomistic features and those that can integrate atomistic features into a larger picture in a multiscale fashion.
This is a preview of subscription content, access via your institution.




References
Akola J, Jones RO (2006) Density functional calculations of ATP systems. 2. ATP hydrolysis at the active site of actin. J Phys Chem B 110:8121–8129. https://doi.org/10.1021/jp054921d
Aydin F, Courtemanche N, Pollard TD, Voth GA (2018) Gating mechanisms during actin filament elongation by formins Elife 7 https://doi.org/10.7554/eLife.37342
Baker JL, Courtemanche N, Parton DL, McCullagh M, Pollard TD, Voth GA (2015) Electrostatic interactions between the Bni1p Formin FH2 domain and actin influence actin filament nucleation. Structure 23:68–79. https://doi.org/10.1016/j.str.2014.10.014
Baker JL, Voth GA (2013) Effects of ATP and actin-filament binding on the dynamics of the myosin II S1 domain. Biophys J 105:1624–1634. https://doi.org/10.1016/j.bpj.2013.08.023
Bidone TC, Kim T, Deriu MA, Morbiducci U, Kamm RD (2015) Multiscale impact of nucleotides and cations on the conformational equilibrium, elasticity and rheology of actin filaments and crosslinked networks. Biomech Model Mechanobiol 14:1143–1155. https://doi.org/10.1007/s10237-015-0660-6
Burnett MM, Carlsson AE (2012) Quantitative analysis of approaches to measure cooperative phosphate release in polymerized actin. Biophys J 103:2369–2378. https://doi.org/10.1016/j.bpj.2012.10.032
Burnett MM, Carlsson AE (2013) Response to “on phosphate release in actin filaments”. Biophys J 104:2780. https://doi.org/10.1016/j.bpj.2013.05.020
Caby M, Hardas P, Ramachandran S, Ryckaert JP (2012) Hybrid molecular dynamics simulations of living filaments. J Chem Phys 136 https://doi.org/10.1063/1.3694672
Campellone KG, Welch MD (2010) A nucleator arms race: cellular control of actin assembly. Nat Rev Mol Cell Biol 11:237–251. https://doi.org/10.1038/nrm2867
Carlier M, Pantaloni D, Korn E (1987) The mechanisms of Atp hydrolysis accompanying the polymerization of mg-actin and Ca-actin. J Biol Chem 262:3052–3059
Chou SZ, Pollard TD (2018) Mechanism of actin polymerization revealed by cryo-EM structures of actin filaments with three different bound nucleotides. bioRxiv https://doi.org/10.1101/309534 (preprint posted April 27, 2018)
Chu JW, Voth GA (2005) Allostery of actin filaments: molecular dynamics simulations and coarse-grained analysis. P Natl Acad Sci USA 102:13111–13116. https://doi.org/10.1073/pnas.0503732102
Chu JW, Voth GA (2006) Coarse-grained modeling of the actin filament derived from atomistic-scale simulations. Biophys J 90:1572–1582. https://doi.org/10.1529/biophysj.105.073924
Dama JF, Jin J, Voth GA (2017) The theory of ultra-coarse-graining. 3. Coarse-grained sites with rapid local equilibrium of internal states. J Chem Theory Comput 13:1010–1022. https://doi.org/10.1021/acs.jctc.6b01081
Dama JF, Sinitskiy AV, McCullagh M, Weare J, Roux B, Dinner AR, Voth GA (2013) The theory of ultra-coarse-graining. 1. General principles. J Chem Theory Comput 9:2466–2480. https://doi.org/10.1021/ct4000444
Davtyan A, Dama JF, Sinitskiy AV, Voth GA (2014) The theory of ultra-coarse-graining. 2. Numerical implementation. J Chem Theory Comput 10:5265–5275. https://doi.org/10.1021/ct500834t
Deriu MA, Bidone TC, Mastrangelo F, Di Benedetto G, Soncini M, Montevecchi FM, Morbiducci U (2011) Biomechanics of actin filaments: a computational multi-level study. J Biomech 44:630–636. https://doi.org/10.1016/j.jbiomech.2010.11.014
Espinoza-Sanchez S, Metskas LA, Chou SZ, Rhoades E, Pollard TD (2018) Conformational changes in Arp2/3 complex induced by ATP, WASp-VCA, and actin filaments. Proc Natl Acad Sci U S A https://doi.org/10.1073/pnas.1717594115
Fan J, Saunders MG, Haddadian EJ, Freed KF, De La Cruz EM, Voth GA (2013) Molecular origins of cofilin-linked changes in actin filament mechanics. J Mol Biol 425:1225–1240. https://doi.org/10.1016/j.jmb.2013.01.020
Fan J, Saunders MG, Voth GA (2012) Coarse-graining provides insights on the essential nature of heterogeneity in actin filaments. Biophys J 103:1334–1342
Freedman H, Laino T, Curioni A (2012) Reaction dynamics of ATP hydrolysis in actin determined by ab initio molecular dynamics simulations. J Chem Theory Comput 8:3373–3383. https://doi.org/10.1021/ct3003282
Freedman SL, Banerjee S, Hocky GM, Dinner AR (2017) A versatile framework for simulating the dynamic mechanical structure of cytoskeletal networks. Biophys J 113:448–460. https://doi.org/10.1016/j.bpj.2017.06.003
Fujii T, Iwane AH, Yanagida T, Namba K (2010) Direct visualization of secondary structures of F-actin by electron cryomicroscopy. Nature 467:724–U117. https://doi.org/10.1038/nature09372
Fujiwara I, Vavylonis D, Pollard TD (2007) Polymerization kinetics of ADP- and ADP-Pi-actin determined by fluorescence microscopy. Proc Natl Acad Sci 104:8827–8832. https://doi.org/10.1073/pnas.0702510104
Galkin VE, Orlova A, Schroder G, Egelman EH (2011) Structural polymorphism in F-actin. Biophys J 100:33–33
Goley ED, Rodenbusch SE, Martin AC, Welch MD (2004) Critical conformational changes in the Arp2/3 complex are induced by nucleotide and nucleation promoting factor. Mol Cell 16:269–279. https://doi.org/10.1016/j.molcel.2004.09.018
Graceffa P, Dominguez R (2003) Crystal structure of monomeric actin in the ATP state - structural basis of nucleotide-dependent actin dynamics. J Biol Chem 278:34172–34180. https://doi.org/10.1074/jbc.M303689200
Guo KK, Xiao WJ, Qiu D (2011) Polymerization of actin filaments coupled with adenosine triphosphate hydrolysis: Brownian dynamics and theoretical analysis. J Chem Phys 135 https://doi.org/10.1063/1.3634006
Hocky GM, Baker JL, Bradley MJ, Sinitskiy AV, De La Cruz EM, Voth GA (2016) Cations stiffen actin filaments by adhering a key structural element to adjacent subunits. J Phys Chem B 120:4558–4567. https://doi.org/10.1021/acs.jpcb.6b02741
Iwasa M, Maeda K, Narita A, Maeda Y, Oda T (2008) Dual roles of Gln(137) of actin revealed by recombinant human cardiac muscle alpha-actin mutants. J Biol Chem 283:21045–21053. https://doi.org/10.1074/jbc.M800570200
Jégou A, Niedermayer T, Lipowsky R, Carlier M-F, Romet-Lemonne G (2013) On phosphate release in actin filaments. Biophys J 104:2778–2779. https://doi.org/10.1016/j.bpj.2013.05.019
Jégou A, Niedermayer T, Orban J, Didry D, Lipowsky R, M-f C, Romet-lemonne G (2011) Individual actin filaments in a microfluidic flow reveal the mechanism of Atp hydrolysis and give insight into the properties of profilin. PLoS Biol 9:1001161
Kabsch W, Mannherz HG, Suck D, Pai EF, Holmes KC (1990) Atomic structure of the actin: DNase I complex. Nature 347:37–44
Kang H, Bradley MJ, Elam WA, De La Cruz EM (2013) Regulation of actin by ion-linked equilibria. Biophys J 105:2621–2628. https://doi.org/10.1016/j.bpj.2013.10.032
Kang HR, Bradley MJ, McCullough BR, Pierre A, Grintsevich EE, Reisler E, De La Cruz EM (2012) Identification of cation-binding sites on actin that drive polymerization and modulate bending stiffness. P Natl Acad Sci USA 109:16923–16927. https://doi.org/10.1073/pnas.1211078109
Katkar HH, Davtyan A, Durumeric AEP, Hocky GM, Schramm AC, De La Cruz EM, Voth GA (2018) Insights into the cooperative nature of ATP hydrolysis in actin filaments. Biophys J in press https://doi.org/10.1016/j.bpj.2018.08.034
Korn E, Carlier M, Pantaloni D (1987) Actin polymerization and Atp hydrolysis. Science 238:638–644
Kovar DR, Harris ES, Mahaffy R, Higgs HN, Pollard TD (2006) Control of the assembly of ATP- and ADP-actin by formins and profilin. Cell 124:423–435
Lyman E, Pfaendtner J, Voth GA (2008) Systematic multiscale parameterization of heterogeneous elastic network models of proteins. Biophys J 95:4183–4192. https://doi.org/10.1529/biophysj.108.139733
Machesky LM, Atkinson SJ, Ampe C, Vandekerckhove J, Pollard TD (1994) Purification of a cortical complex containing 2 unconventional actins from Acanthamoeba by affinity-chromatography on profilin-agarose. J Cell Biol 127:107–115. https://doi.org/10.1083/jcb.127.1.107
McCullagh M, Saunders MG, Voth GA (2014) Unraveling the mystery of ATP hydrolysis in actin filaments. J Am Chem Soc 136:13053–13058. https://doi.org/10.1021/ja507169f
Mehrafrooz B, Shamloo A (2018) Mechanical differences between ATP and ADP actin states: a molecular dynamics study. J Theor Biol 448:94–103. https://doi.org/10.1016/j.jtbi.2018.04.010
Merino F et al (2018) Structural transitions of F-actin upon ATP hydrolysis at near-atomic resolution revealed by cryo-EM. Nat Struct Mol Biol 25:531−+. https://doi.org/10.1038/s41594-018-0074-0
Murakami K, Yasunaga T, Noguchi TQP, Gomibuchi Y, Ngo KX, Uyeda TQP, Wakabayashi T (2010) Structural basis for actin assembly, activation of ATP hydrolysis, and delayed phosphate release. Cell 143:275–287. https://doi.org/10.1016/j.cell.2010.09.034
Narita A, Oda T, Maeda Y (2011) Structural basis for the slow dynamics of the actin filament pointed end. EMBO J 30:1230–1237. https://doi.org/10.1038/emboj.2011.48
Oda T, Iwasa M, Aihara T, Maeda Y, Narita A (2009) The nature of the globular-to fibrous-actin transition. Nature 457:441–445. https://doi.org/10.1038/nature07685
Ohm T, Wegner A (1994) Mechanism of Atp hydrolysis by polymeric actin. Bba-Protein Struct M 1208:8–14
Otomo T, Tomchick DR, Otomo C, Panchal SC, Machius M, Rosen MK (2005) Structural basis of actin filament nucleation and processive capping by a formin homology 2 domain. Nature 433:488–494
Otterbein LR, Graceffa P, Dominguez R (2001) The crystal structure of uncomplexed actin in the ADP state. Science 293:708–711. https://doi.org/10.1126/science.1059700
Pantaloni D, Hill T, Carlier M, Korn E (1985) A model for actin polymerization and the kinetic effects of Atp hydrolysis. P Natl Acad Sci USA 82:7207–7211
Paul AS, Paul A, Pollard TD, Pollard T (2008) The role of the FH1 domain and profilin in formin-mediated actin-filament elongation and nucleation. Curr Biol : CB 18:9–19
Paul AS, Pollard TD (2009a) Energetic requirements for processive elongation of actin filaments by FH1FH2-formins. J Biol Chem 284:12533–12540
Paul AS, Pollard TD (2009b) Review of the mechanism of processive actin filament elongation by formins. Cell Motil Cytoskeleton 66:606–617
Pfaendtner J, Branduardi D, Parrinello M, Pollard TD, Voth GA (2009) Nucleotide-dependent conformational states of actin. P Natl Acad Sci USA 106:12723–12728. https://doi.org/10.1073/pnas.0902092106
Pfaendtner J, De La Cruz EM, Voth GA (2010a) Actin filament remodeling by actin depolymerization factor/cofilin. P Natl Acad Sci USA 107:7299–7304. https://doi.org/10.1073/pnas.0911675107
Pfaendtner J, Lyman E, Pollard TD, Voth GA (2010b) Structure and dynamics of the actin filament. J Mol Biol 396:252–263. https://doi.org/10.1016/j.jmb.2009.11.034
Pfaendtner J, Volkmann N, Hanein D, Dalhaimer P, Pollard TD, Voth GA (2012) Key structural features of the actin filament Arp2/3 complex branch junction revealed by molecular simulation. J Mol Biol 416:148–161. https://doi.org/10.1016/j.jmb.2011.12.025
Pfaendtner J, Voth GA (2008) Molecular dynamics simulation and coarse-grained analysis of the Arp2/3 complex. Biophys J 95:5324–5333. https://doi.org/10.1529/biophysj.108.143313
Pieper U, Wegner A (1996) The end of a polymerizing actin filament contains numerous Atp-subunit segments that are disconnected by Adp-subunits resulting from Atp hydrolysis. Biochemistry 35:4396–4402
Pollard T, Weeds A (1984) The rate-constant for Atp hydrolysis by polymerized actin. FEBS Lett 170:94–98
Pollard TD (1986) Rate constants for the reactions of Atp-actin and Adp-actin with the ends of actin-filaments. J Cell Biol 103:2747–2754. https://doi.org/10.1083/jcb.103.6.2747
Pollard TD, Cooper JA (2009) Actin, a central player in cell shape and movement. Science (New York, NY) 326:1208–1212
Popov K, Komianos J, Papoian GA (2016) MEDYAN: mechanochemical simulations of contraction and polarity alignment in actomyosin networks. PLoS Comput Biol 12 https://doi.org/10.1371/journal.pcbi.1004877
Ranjith P, Mallick K, J-f J, Lacoste D (2010) Role of Atp-hydrolysis in the dynamics of a single actin filament. Biophys J 98:1418–1427
Rouiller I et al (2008) The structural basis of actin filament branching by the Arp2/3 complex. J Cell Biol 180:887–895. https://doi.org/10.1083/jcb.200709092
Rould MA, Wan Q, Joel PB, Lowey S, Trybus KM (2006) Crystal structures of expressed non-polymerizable monomeric actin in the ADP and ATP states. J Biol Chem 281:31909–31919. https://doi.org/10.1074/jbc.M601973200
Saunders MG, Tempkin J, Weare J, Dinner AR, Roux B, Voth GA (2014) Nucleotide regulation of the structure and dynamics of G-actin. Biophys J 106:1710–1720. https://doi.org/10.1016/j.bpj.2014.03.012
Saunders MG, Voth GA (2011) Water molecules in the nucleotide binding cleft of actin: effects on subunit conformation and implications for ATP hydrolysis. J Mol Biol 413:279–291. https://doi.org/10.1016/j.jmb.2011.07.068
Saunders MG, Voth GA (2012a) Coarse-grained analysis and modeling of nucleotide-dependent changes in F-actin. Biophys J 102:237a. https://doi.org/10.1016/j.bpj.2011.11.1306
Saunders MG, Voth GA (2012b) Comparison between actin filament models: coarse-graining reveals essential differences. Structure 20:641–653
Saunders MG, Voth GA (2013) Coarse-graining methods for computational biology. Annu Rev Biophys 42:73–93. https://doi.org/10.1146/annurev-biophys-083012-130348
Schramm AC, Hocky GM, Voth GA, Blanchoin L, Martiel JL, De La Cruz EM (2017) Actin filament strain promotes severing and cofilin dissociation. Biophys J 112:2624–2633. https://doi.org/10.1016/j.bpj.2017.05.016
Schuler H (2001) ATPase activity and conformational changes in the regulation of actin. Bba-Protein Struct M 1549:137–147. https://doi.org/10.1016/S0167-4838(01)00255-2
Schuler H, Korenbaum E, Schutt CE, Lindberg U, Karlsson R (1999) Mutational analysis of Ser14 and Asp157 in the nucleotide-binding site of beta-actin. Eur J Biochem 265:210–220. https://doi.org/10.1046/j.1432-1327.1999.00716.x
Stukalin E, Kolomeisky A (2006) Atp hydrolysis stimulates large length fluctuations in single actin filaments. Biophys J 90:2673–2685
Sun R, Sode O, Dama JF, Voth GA (2017) Simulating protein mediated hydrolysis of ATP and other nucleoside triphosphates by combining QM/MM molecular dynamics with advances in metadynamics. J Chem Theory Comput 13:2332–2341. https://doi.org/10.1021/acs.jctc.7b00077
Vavylonis D, Kovar DR, O'Shaughnessy B, Pollard TD (2006) Model of formin-associated actin filament elongation. Mol Cell 21:455–466
Vavylonis D, Yang Q, O'Shaughnessy B (2005) Actin polymerization kinetics, cap structure, and fluctuations. P Natl Acad Sci USA 102:8543–8548
Vorobiev S et al (2003) The structure of nonvertebrate actin: implications for the ATP hydrolytic mechanism. P Natl Acad Sci USA 100:5760–5765. https://doi.org/10.1073/pnas.0832273100
Voth GA (2017) A multiscale description of biomolecular active matter: the chemistry underlying many life processes. Acc Chem Res 50:594–598. https://doi.org/10.1021/acs.accounts.6b00572
Wertman KF, Drubin DG, Botstein D (1992) Systematic mutational analysis of the yeast. ACT1 gene Genetics 132:337–350
Xu YW, Moseley JB, Sagot I, Poy F, Pellman D, Goode BL, Eck MJ (2004) Crystal structures of a formin homology-2 domain reveal a tethered dimer architecture. Cell 116:711–723. https://doi.org/10.1016/S0092-8674(04)00210-7
Yogurtcu ON, Kim JS, Sun SX (2012) A mechanochemical model of actin filaments. Biophys J 103:719–727. https://doi.org/10.1016/j.bpj.2012.07.020
Zhang ZY, Lu LY, Noid WG, Krishna V, Pfaendtner J, Voth GA (2008) A systematic methodology for defining coarse-grained sites in large biomolecules. Biophys J 95:5073–5083. https://doi.org/10.1529/biophysj.108.139626
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Funding information
This study was financially supported in part by the National Science Foundation through NSF Grant CHE-1465248 and Materials Research Science and Engineering Center (MRSEC) grant DMR-14207090, and Department of Defense Army Research Office (ARO) through MURI grant W911NF1410403.
Conflict of interest
Fikret Aydin declares that he has no conflict of interest. Harshwardhan H. Katkar declares that he has no conflict of interest. Gregory A. Voth declares that he has no conflict of interest.
Ethical approval
This article does not contain any studies with human participants or animals performed by any of the authors.
Rights and permissions
About this article
Cite this article
Aydin, F., Katkar, H.H. & Voth, G.A. Multiscale simulation of actin filaments and actin-associated proteins. Biophys Rev 10, 1521–1535 (2018). https://doi.org/10.1007/s12551-018-0474-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12551-018-0474-8
Keywords
- Coarse-graining
- Cytoskeleton
- Protein dynamics
- Protein-protein interactions
- Molecular dynamics
- Enhanced sampling