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arXiv · 0907.5164

Random Matrix approach to collective behavior and bulk universality in protein dynamics

Raffaello Potestio·Fabio Caccioli·Pierpaolo Vivo
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Abstract

Covariance matrices of amino acid displacements, commonly used to characterize the large-scale movements of proteins, are investigated through the prism of Random Matrix Theory. Bulk universality is detected in the local spacing statistics of noise-dressed eigenmodes, which is well described by a Brody distribution with parameter $β\simeq 0.8$. This finding, supported by other consistent indicators, implies a novel quantitative criterion to single out the collective degrees of freedom of the protein from the majority of high-energy, localized vibrations.

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Raffaello Potestio, Fabio Caccioli, Pierpaolo Vivo. 2010-01-12. Random Matrix approach to collective behavior and bulk universality in protein dynamics. https://doi.org/10.1103/physrevlett.103.268101

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