Repository: Freie Universität Berlin, Math Department

Variational Approach to Molecular Kinetics

Nüske, F. and Keller, B. and Pérez-Hernández, G. and Mey, A.S.J.S. and Noé, F. (2014) Variational Approach to Molecular Kinetics. J. Chem. Theory Comput., 10 . pp. 1739-1752.

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The eigenvalues and eigenvectors of the molecular dynamics propagator (or transfer operator) contain the essential information about the molecular thermodynamics and kinetics. This includes the stationary distribution, the metastable states, and state-to-state transition rates. Here, we present a variational approach for computing these dominant eigenvalues and eigenvectors. This approach is analogous the variational approach used for computing stationary states in quantum mechanics. A corresponding method of linear variation is formulated. It is shown that the matrices needed for the linear variation method are correlation matrices that can be estimated from simple MD simulations for a given basis set. The method proposed here is thus to first define a basis set able to capture the relevant conformational transitions, then compute the respective correlation matrices, and then to compute their dominant eigenvalues and eigenvectors, thus obtaining the key ingredients of the slow kinetics.

Item Type:Article
Subjects:Physical Sciences
Mathematical and Computer Sciences
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Comp. Molecular Biology
ID Code:1388
Deposited By: BioComp Admin
Deposited On:01 Mar 2014 17:31
Last Modified:03 Mar 2017 14:41

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