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Entropy 2014, 16(1), 258-286; doi:10.3390/e16010258

Markov State Models for Rare Events in Molecular Dynamics

1,* , 1
1 Department of Mathematics and Computer Science, Freie Universität Berlin, Arnimallee 6, Berlin 14195, Germany 2 Zuse Institute Berlin, Takustr. 7, Berlin 14195, Germany
* Author to whom correspondence should be addressed.
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)
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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.
Keywords: rare events; Markov State Models; long timescales; optimal control rare events; Markov State Models; long timescales; optimal control
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Sarich, M.; Banisch, R.; Hartmann, C.; Schütte, C. Markov State Models for Rare Events in Molecular Dynamics. Entropy 2014, 16, 258-286.

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