Skip to main content
Log in

On the model granularity to simulate protein dynamics: A biological physics view on biomolecular computing

  • Published:
Natural Computing Aims and scope Submit manuscript

Abstract

What granularity is needed to carry out computer simulations of biomolecular reactions/motions? This is one of the central issues of the in silico biomolecular computing. In this paper, we addressed this issue by studying model granularity dependence of the native structure dynamics of protein molecules. We conducted molecular dynamics simulations employing three different protein models: the model with full atomic details and two coarse-grained models in which only Cα atoms interacting with each other through simple potentials are considered. In addition to the observed agreement among the three models in terms of isotropic thermal fluctuation, principal component analysis showed that the coarse-grained models can also reproduce the anisotropy (or directionality) of the fluctuation, particularly of collective modes having relevance to molecular function. This indicates that the dependence of the essential dynamics of a protein molecule on the model granularity is weak, although it was also shown that incorporation of the Lennard–Jones-type potential into the harmonic-potential-based coarse-grained model improves the reproducibility to some degree, and that a plastic nature of structural dynamics observed in the full atomic model transforms into an elastic one in the coarse-grained models. The coarse-grained model can be applied to a molecular motor system, which may lead to a new view of biomolecular computing in the context of biological physics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • AR Atilgan SR Durell RL Jernigan MC Demirel O Keskin I Bahar (2001) ArticleTitleAnisotropy of fluctuation dynamics of proteins with an elastic network model Biophysical Journal 80 505–515

    Google Scholar 

  • I Bahar AR Atilgan MC Demirel B Erman (1998) ArticleTitleVibrational dynamics of folded proteins: Significance of slow and fast motions in relation to function and stability Physical Review Letters 80 2733–2736

    Google Scholar 

  • CL Brooks SuffixIII DA Case (1993) ArticleTitleSimulation of peptide conformational dynamics and thermodynamics Chemical Reviews 93 2487–2502

    Google Scholar 

  • C Clementi H Nymeyer JN Onuchic (2000) ArticleTitleTopological and energetic factors: what determines the structural details of the transition state ensemble and “en-route” intermediates for protein folding? An investigation for small globular proteins Journal of Molecular Biology 298 937–953

    Google Scholar 

  • P Doruker AR Atilgan I Bahar (2000) ArticleTitleDynamics of proteins predicted by molecular dynamics simulations and analytical approaches: application to α-amylase inhibitor PROTEINS: Structure, Function, and Genetics 40 512–524

    Google Scholar 

  • DJ Evans GP Morriss (1983) ArticleTitleThe isothermal/isobaric molecular dynamics ensemble Physics Letter A 98 433–436

    Google Scholar 

  • AE García JG Harman (1996) ArticleTitleSimulations of CRP:(cAMP)2 in noncrystalline environments show a subunit transition from the open to the closed conformation Protein Science 5 62–71

    Google Scholar 

  • MH Garzon (2003) ArticleTitleSpecial issue on biomolecular machines and artificial evolution Genetic Programming and Evolvable Machines 4 107–109

    Google Scholar 

  • GO N, Noguti T and Nishikawa T (1983) Dynamics of a small globular protein in terms of low-frequency vibrational modes. Proceedings of the National Academy of Sciences of USA 80: 3696–3700

  • Hagiya M and Ohuchi A eds (2002) Preliminary Proceedings of the Eighth International Meeting on DNA Based Computers, and papers therein

  • J Higo N Ito M Kuroda S Ono N Nakajima H Nakamura (2001) ArticleTitleEnergy landscape of a peptide consisting of α-helix, 310-helix, β-turn, β-hairpin, and other disordered conformations Protein Science 10 1160–1171

    Google Scholar 

  • Y HigoJ. Sugimoto K Wakabayashi H Nakamura (2001) ArticleTitleCollective motions of myosin head derived from backbone molecular dynamics and combination with X-ray solution scattering data Journal of Computational Chemistry 22 1983–1994

    Google Scholar 

  • J Higo H Umeyama (1997) ArticleTitleProtein dynamics determined by backbone conformation and atom packing Protein Engineering 10 373–380

    Google Scholar 

  • Himmel DM, Gourinath S, Reshetnikova L, Shen Y, Szent-Györgyi AG and Cohen C (2002) Crystallographic findings on the internally uncoupled and near-rigor states of myosin: further insights into the mechanics of the motor. Proceedings of the National Academy of Sciences of USA 99: 12645–12650

    Google Scholar 

  • RW Hockney (1970) ArticleTitleThe potential calculation and some application Methods in Computational Physics 9 135–211

    Google Scholar 

  • WL Jorgensen J Chandrasekhar JD Madura RW Impey ML Klein (1983) ArticleTitleComparison of simple potential functions for simulating liquid water Journal of Chemical Physics 79 926–935

    Google Scholar 

  • K Kaneko (1998) ArticleTitleLife as complex systems: viewpoint from intra-inter dynamics Complexity 3 IssueID6 53–60

    Google Scholar 

  • SA Kauffman (1969) ArticleTitleMetabolic stability and epigenesis in randomly connected nets Journal of Theoretical Biology 22 437–467

    Google Scholar 

  • A Kitao F Hirata N GO (1991) ArticleTitleThe effects of solvent on the conformation and the collective motions of protein: normal mode analysis and molecular dynamics simulations of melittin in water and in vacuum Chemical Physics 158 447–472

    Google Scholar 

  • Kitao A and Wagner G (2000) A space-time structure determination of human CD2 reveals the CD58-binding mode. Proceedings of the National Academy of Sciences of USA 97: 2064–2068

    Google Scholar 

  • N Koga S Takada (2001) ArticleTitleRoles of native topology and chain-length scaling in protein folding: a simulation study with a GO-like model Journal of Molecular Biology 313 171–180

    Google Scholar 

  • Kollman PA, Dixon, RW, Cornell WD, Chipot C and Pohorille A (1997) The development/application of a “minimalist” organic/biochemical molecular mechanic force field using a combination of ab initio calculations and experimental data. In: Computer Simulations of Biological Systems

  • C Micheletti G Lattanzi A Maritan (2002) ArticleTitleElastic properties of proteins: insight on the folding process and evolutionary selection of native structures Journal of Molecular Biology 321 909–921

    Google Scholar 

  • HK Nakamura M Sasai M Takano (2004) ArticleTitleSqueezed exponential kinetics to describe a nonglassy downhill folding as observed in a lattice protein model Proteins: Structure, Function, and Bioinformatics 55 99–106

    Google Scholar 

  • F Oosawa (2000) ArticleTitleThe loose coupling mechanism in molecular machines of living cells Genes to Cells 5 9–16

    Google Scholar 

  • LR Otterbein P Graceffa R Dominguez (2001) ArticleTitleThe crystal structure of uncomplexed actin in the ADP state Science 293 708–711

    Google Scholar 

  • JW Ponder DA Case (2003) ArticleTitleForce fields for protein simulation Advances in Protein Chemistry 66 27–85

    Google Scholar 

  • JA Rose M Takano M Hagiya A Suyama (2003) ArticleTitleA DNA computing-based genetic program for in vitro protein evolution via constrained pseudo-module shuffling Genetic Programming and Evolvable Machines 4 139–152

    Google Scholar 

  • Sasai M and Wolynes PG (2002) Stochastic gene expression as a many-body problem. Proceedings of the National Academy of Sciences of USA 100: 2374–2379

    Google Scholar 

  • Shea J-E, Onuchic JN and Brooks CL III (1999) Exploring the origins of topological frustration: design of a minimally frustrated model of fragment B of protein A. Proceedings of the National Academy of Sciences of USA 96: 12512–12517

    Google Scholar 

  • Takada S (1999) GOing for the prediction of protein folding mechanisms. Proceedings of the National Academy of Sciences of USA 96: 11698–11700

  • M Takano T Yamato J Higo A Suyama K Nagayama (1999) ArticleTitleMolecular dynamics of a 15-residue poly(L-alanine) in water: helix formation and energetics Journal of the American Chemical Society 121 605–612

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mitsunori Takano.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Takano, M., Higo, J., Nakamura, H.K. et al. On the model granularity to simulate protein dynamics: A biological physics view on biomolecular computing. Nat Comput 3, 377–393 (2004). https://doi.org/10.1007/s11047-004-2639-6

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11047-004-2639-6

Key words

Navigation