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Causal relations in molecular dynamics from the multi-variate autoregressive model

A. Gorecki1, J. Trylska2 and B. Lesyng1,2

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We show that Granger-type causality analysis can be applied to determine correlations between atomic motions. A multivariate autoregressive model and directed transfer functions were applied to analyze the causality in the dynamics of a linear chain of atoms and the malonaldehyde molecule. The presented methodology is promising, can be applied in post-processing of classical and quantum-classical molecular dynamics data, and to study the mechanisms of functioning of biomolecular systems.


PACS

05.45.Tp Time series analysis

31.15.xv Molecular dynamics and other numerical methods

87.15.A- Theory, modeling, and computer simulation

Subjects

Atomic and molecular physics

Computational physics

Biological physics

Statistical physics and nonlinear systems

Dates

Issue 3 (August 2006)

Received 16 March 2006, accepted for publication 13 June 2006, in final form 13 June 2006

Published 5 July 2006



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