2011
DOI: 10.1063/1.3525381
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Langevin dynamics for the transport of flexible biological macromolecules in confined geometries

Abstract: The transport of flexible biological macromolecules in confined geometries is found in a variety of important biophysical systems including biomolecular movements through pores in cell walls, vesicle walls, and synthetic nanopores for sequencing methods. In this study, we extend our previous analysis of the Fokker-Planck and Langevin dynamics for describing the coupled translational and rotational motions of single structured macromolecules near structured external surfaces or walls [M. H. Peters, J. Chem. Phy… Show more

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Cited by 6 publications
(9 citation statements)
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“…Broadly speaking, coarse-grained methods, stochastic dynamics, Brownian dynamics, and implicit solvent methods, are closely related terms representing macromolecular dynamic methods that involve some type of averaging method for the solvent phase. Here we simply refer to our method as implicit solvent or Brownian dynamics (BD) method [7-9]. Our first-principles method is comprehensive in that it includes all possible rotational, translational, and coupled rotational-translational modes of ligands (peptide amino acid residues in this study), quantitative limits on the use of BD methods via multiple time scale perturbation theory, inclusion of any external surfaces (protein molecular targets in this study), and formal, comprehensive prescription of all implicit solvent terms via time force autocorrelation expressions.…”
Section: Methodsmentioning
confidence: 99%
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“…Broadly speaking, coarse-grained methods, stochastic dynamics, Brownian dynamics, and implicit solvent methods, are closely related terms representing macromolecular dynamic methods that involve some type of averaging method for the solvent phase. Here we simply refer to our method as implicit solvent or Brownian dynamics (BD) method [7-9]. Our first-principles method is comprehensive in that it includes all possible rotational, translational, and coupled rotational-translational modes of ligands (peptide amino acid residues in this study), quantitative limits on the use of BD methods via multiple time scale perturbation theory, inclusion of any external surfaces (protein molecular targets in this study), and formal, comprehensive prescription of all implicit solvent terms via time force autocorrelation expressions.…”
Section: Methodsmentioning
confidence: 99%
“…The macromolecular dynamics step requires Brownian particle diffusion terms and implicit solvent force terms that can be determined via the short-time behavior, or, alternatively, the diffusion and implicit solvent force terms can be approximated via separate analytical or computational studies for any given system, as demonstrated in proteins [8, 9]. Thus, BD has demonstrated the potential to greatly reduce the computational load required for protein dynamic simulations by reducing both the total atom-atom force computations load and increasing the integration time steps required.…”
Section: Methodsmentioning
confidence: 99%
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