Random Matrix Theory in molecular dynamics analysis.

Luigi Leonardo Palese
Author Information
  1. Luigi Leonardo Palese: SMBNOS, University of Bari "Aldo Moro", Piazza G. Cesare, Policlinico, 70124 Bari, Italy. Electronic address: luigileonardo.palese@uniba.it.

Abstract

It is well known that, in some situations, principal component analysis (PCA) carried out on molecular dynamics data results in the appearance of cosine-shaped low index projections. Because this is reminiscent of the results obtained by performing PCA on a multidimensional Brownian dynamics, it has been suggested that short-time protein dynamics is essentially nothing more than a noisy signal. Here we use Random Matrix Theory to analyze a series of short-time molecular dynamics experiments which are specifically designed to be simulations with high cosine content. We use as a model system the protein apoCox17, a mitochondrial copper chaperone. Spectral analysis on correlation matrices allows to easily differentiate random correlations, simply deriving from the finite length of the process, from non-random signals reflecting the intrinsic system properties. Our results clearly show that protein dynamics is not really Brownian also in presence of the cosine-shaped low index projections on principal axes.

Keywords

MeSH Term

Apoproteins
Molecular Chaperones
Molecular Dynamics Simulation
Principal Component Analysis
Protein Structure, Secondary

Chemicals

Apoproteins
Molecular Chaperones

Word Cloud

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