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Title: Parametric sensitivity analysis for stochastic molecular systems using information theoretic metrics

In this paper, we present a parametric sensitivity analysis (SA) methodology for continuous time and continuous space Markov processes represented by stochastic differential equations. Particularly, we focus on stochastic molecular dynamics as described by the Langevin equation. The utilized SA method is based on the computation of the information-theoretic (and thermodynamic) quantity of relative entropy rate (RER) and the associated Fisher information matrix (FIM) between path distributions, and it is an extension of the work proposed by Y. Pantazis and M. A. Katsoulakis [J. Chem. Phys. 138, 054115 (2013)]. A major advantage of the pathwise SA method is that both RER and pathwise FIM depend only on averages of the force field; therefore, they are tractable and computable as ergodic averages from a single run of the molecular dynamics simulation both in equilibrium and in non-equilibrium steady state regimes. We validate the performance of the extended SA method to two different molecular stochastic systems, a standard Lennard-Jones fluid and an all-atom methane liquid, and compare the obtained parameter sensitivities with parameter sensitivities on three popular and well-studied observable functions, namely, the radial distribution function, the mean squared displacement, and the pressure. Results show that the RER-based sensitivities are highly correlatedmore » with the observable-based sensitivities.« less
Authors:
 [1] ; ;  [2] ;  [3]
  1. Department of Mathematics and Applied Mathematics, University of Crete, Crete (Greece)
  2. Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003 (United States)
  3. Department of Mathematics and Applied Mathematics, University of Crete, and Institute of Applied and Computational Mathematics (IACM), Foundation for Research and Technology Hellas (FORTH), GR-70013 Heraklion, Crete (Greece)
Publication Date:
OSTI Identifier:
22489546
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 143; Journal Issue: 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; 97 MATHEMATICAL METHODS AND COMPUTING; COMPARATIVE EVALUATIONS; DIFFERENTIAL EQUATIONS; ENTROPY; EQUILIBRIUM; LANGEVIN EQUATION; LIQUIDS; MARKOV PROCESS; METHANE; MOLECULAR DYNAMICS METHOD; SENSITIVITY ANALYSIS; SIMULATION; SPATIAL DISTRIBUTION