articleJan 1, 2013GREEN OA

Identification of slow molecular order parameters for Markov model construction

PGPerez-Hernandez, G.FPFabian PaulTGToni GiorginoGDGianni De FabritiisFNFrank Noé

Freie Universität Berlin · Max Planck Institute of Colloids and Interfaces · +2 more institutions

Abstract

A goal in the kinetic characterization of a macromolecular system is the description of its slow relaxation processes, involving (i) identification of the structural changes involved in these pro-cesses, and (ii) estimation of the rates or timescales at which these slow processes occur. Most of the approaches to this task, including Markov models, Master-equation models, and kinetic network models, start by discretizing the high-dimensional state space and then characterize re-laxation processes in terms of the eigenvectors and eigenvalues of a discrete transition matrix. The practical success of such an approach depends very much on the ability to finely discretize the slow order parameters. How can this task…

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Topics & keywords

Keywords
  • Subspace topology
  • Discretization
  • Eigenvalues and eigenvectors
  • Relaxation (psychology)
  • Markov chain
  • Statistical physics
  • Biological system
  • Computer science
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