Dissipative Dynamics and the Statistics of Energy States of a Hookean Model for Protein Folding

Erkan Tuzel; Ayse Erzan

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arXiv · cond-mat/9909350

Dissipative Dynamics and the Statistics of Energy States of a Hookean Model for Protein Folding

Erkan Tuzel·Ayse Erzan

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Abstract

A generic model of a random polypeptide chain, with discrete torsional degrees of freedom and Hookean springs connecting pairs of hydrophobic residues, reproduces the energy probability distribution of real proteins over a very large range of energies. We show that this system with harmonic interactions, under dissipative dynamics driven by random noise, leads to a distribution of energy states obeying a modified one-dimensional Ornstein-Uhlenbeck process and giving rise to the so called Wigner distribution. A tunably fine- or coarse-grained sampling of the energy landscape yields a family of distributions for the energies and energy spacings.

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Erkan Tuzel, Ayse Erzan. 1999-12-21. Dissipative Dynamics and the Statistics of Energy States of a Hookean Model for Protein Folding. https://arxiv.org/abs/cond-mat/9909350

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