Markov state models (MSMs) have become the tool of choice to analyze large amounts of molecular dynamics data by approximating them as a Markov jump process between suitably predefined states. Here we investigate “Core Set MSMs,” a new type of MSMs that build on metastable core sets acting as milestones for tracing the rare event kinetics. We present a thorough analysis of Core Set MSMs based on the existing milestoning framework, Bayesian estimation methods and Transition Path Theory (TPT). We show that Core Set MSMs can be used to extract phenomenological rate constants between the metastable sets of the system and to approximate the evolution of certain key observables. The performance of Core Set MSMs in comparison to standard MSMs is analyzed and illustrated on a toy example and in the context of the torsion angle dynamics of alanine dipeptide.
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28 May 2011
Research Article|
May 24 2011
Markov state models based on milestoning
Christof Schütte;
Christof Schütte
a)
1Institute of Mathematics,
Freie Universitaet Berlin
, D-14195 Berlin, Germany
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Frank Noé;
Frank Noé
b)
1Institute of Mathematics,
Freie Universitaet Berlin
, D-14195 Berlin, Germany
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Jianfeng Lu;
Jianfeng Lu
c)
2Courant Institute of Mathematical Sciences,
New York University
, New York, New York 10012, USA
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Marco Sarich;
Marco Sarich
d)
1Institute of Mathematics,
Freie Universitaet Berlin
, D-14195 Berlin, Germany
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Eric Vanden-Eijnden
Eric Vanden-Eijnden
e)
2Courant Institute of Mathematical Sciences,
New York University
, New York, New York 10012, USA
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a)
Electronic mail: [email protected].
b)
Electronic mail: [email protected].
c)
Electronic mail: [email protected].
d)
Electronic mail: [email protected].
e)
Electronic mail: [email protected].
J. Chem. Phys. 134, 204105 (2011)
Article history
Received:
January 16 2011
Accepted:
April 21 2011
Citation
Christof Schütte, Frank Noé, Jianfeng Lu, Marco Sarich, Eric Vanden-Eijnden; Markov state models based on milestoning. J. Chem. Phys. 28 May 2011; 134 (20): 204105. https://doi.org/10.1063/1.3590108
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