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Markov State Models for Rare Events in Molecular Dynamics

1
Department of Mathematics and Computer Science, Freie Universität Berlin, Arnimallee 6, Berlin 14195, Germany
2
Zuse Institute Berlin, Takustr. 7, Berlin 14195, Germany
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Author to whom correspondence should be addressed.
Entropy 2014, 16(1), 258-286; https://doi.org/10.3390/e16010258
Received: 18 September 2013 / Revised: 3 December 2013 / Accepted: 9 December 2013 / Published: 30 December 2013
(This article belongs to the Special Issue Molecular Dynamics Simulation)
Rare, but important, transition events between long-lived states are a key feature of many molecular systems. In many cases, the computation of rare event statistics by direct molecular dynamics (MD) simulations is infeasible, even on the most powerful computers, because of the immensely long simulation timescales needed. Recently, a technique for spatial discretization of the molecular state space designed to help overcome such problems, so-called Markov State Models (MSMs), has attracted a lot of attention. We review the theoretical background and algorithmic realization of MSMs and illustrate their use by some numerical examples. Furthermore, we introduce a novel approach to using MSMs for the efficient solution of optimal control problems that appear in applications where one desires to optimize molecular properties by means of external controls. View Full-Text
Keywords: rare events; Markov State Models; long timescales; optimal control rare events; Markov State Models; long timescales; optimal control
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MDPI and ACS Style

Sarich, M.; Banisch, R.; Hartmann, C.; Schütte, C. Markov State Models for Rare Events in Molecular Dynamics. Entropy 2014, 16, 258-286. https://doi.org/10.3390/e16010258

AMA Style

Sarich M, Banisch R, Hartmann C, Schütte C. Markov State Models for Rare Events in Molecular Dynamics. Entropy. 2014; 16(1):258-286. https://doi.org/10.3390/e16010258

Chicago/Turabian Style

Sarich, Marco, Ralf Banisch, Carsten Hartmann, and Christof Schütte. 2014. "Markov State Models for Rare Events in Molecular Dynamics" Entropy 16, no. 1: 258-286. https://doi.org/10.3390/e16010258

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