Literature DB >> 16468862

Validation of Markov state models using Shannon's entropy.

Sanghyun Park1, Vijay S Pande.   

Abstract

Markov state models are kinetic models built from the dynamics of molecular simulation trajectories by grouping similar configurations into states and examining the transition probabilities between states. Here we present a procedure for validating the underlying Markov assumption in Markov state models based on information theory using Shannon's entropy. This entropy method is applied to a simple system and is compared with the previous eigenvalue method. The entropy method also provides a way to identify states that are least Markovian, which can then be divided into finer states to improve the model.

Mesh:

Year:  2006        PMID: 16468862     DOI: 10.1063/1.2166393

Source DB:  PubMed          Journal:  J Chem Phys        ISSN: 0021-9606            Impact factor:   3.488


  14 in total

1.  Heterogeneity even at the speed limit of folding: large-scale molecular dynamics study of a fast-folding variant of the villin headpiece.

Authors:  Daniel L Ensign; Peter M Kasson; Vijay S Pande
Journal:  J Mol Biol       Date:  2007-09-29       Impact factor: 5.469

2.  Simple continuous and discrete models for simulating replica exchange simulations of protein folding.

Authors:  Weihua Zheng; Michael Andrec; Emilio Gallicchio; Ronald M Levy
Journal:  J Phys Chem B       Date:  2008-02-06       Impact factor: 2.991

3.  Folding and misfolding of the collagen triple helix: Markov analysis of molecular dynamics simulations.

Authors:  Sanghyun Park; Teri E Klein; Vijay S Pande
Journal:  Biophys J       Date:  2007-08-31       Impact factor: 4.033

4.  Reactive flux and folding pathways in network models of coarse-grained protein dynamics.

Authors:  Alexander Berezhkovskii; Gerhard Hummer; Attila Szabo
Journal:  J Chem Phys       Date:  2009-05-28       Impact factor: 3.488

5.  Simulating oligomerization at experimental concentrations and long timescales: A Markov state model approach.

Authors:  Nicholas W Kelley; V Vishal; Grant A Krafft; Vijay S Pande
Journal:  J Chem Phys       Date:  2008-12-07       Impact factor: 3.488

6.  Bayesian comparison of Markov models of molecular dynamics with detailed balance constraint.

Authors:  Sergio Bacallado; John D Chodera; Vijay Pande
Journal:  J Chem Phys       Date:  2009-07-28       Impact factor: 3.488

7.  Variational cross-validation of slow dynamical modes in molecular kinetics.

Authors:  Robert T McGibbon; Vijay S Pande
Journal:  J Chem Phys       Date:  2015-03-28       Impact factor: 3.488

8.  On approximating a weak Markovian process as Markovian: Are we justified when discarding longtime correlations.

Authors:  Kai-Yang Leong; Feng Wang
Journal:  J Chem Phys       Date:  2019-02-28       Impact factor: 3.488

Review 9.  Everything you wanted to know about Markov State Models but were afraid to ask.

Authors:  Vijay S Pande; Kyle Beauchamp; Gregory R Bowman
Journal:  Methods       Date:  2010-06-04       Impact factor: 3.608

10.  Using Markov models to simulate electron spin resonance spectra from molecular dynamics trajectories.

Authors:  Deniz Sezer; Jack H Freed; Benoit Roux
Journal:  J Phys Chem B       Date:  2008-08-12       Impact factor: 2.991

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