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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Supersymmetric quantum mechanics method for the Fokker-Planck equation with applications to protein folding dynamics

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Author(s):
Polotto, Franciele [1] ; Drigo Filho, Elso [1] ; Chahine, Jorge [1] ; de Oliveira, Ronaldo Junio [2]
Total Authors: 4
Affiliation:
[1] Univ Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, Dept Fis, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[2] Univ Fed Triangulo Mineiro, Inst Ciencias Exatas Nat & Educ, Dept Fis, Lab Biofis Teor, Ave Dr Randolfo Borges Jr 1400, BR-38064200 Uberaba, MG - Brazil
Total Affiliations: 2
Document type: Journal article
Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 493, p. 286-300, MAR 1 2018.
Web of Science Citations: 4
Abstract

This work developed analytical methods to explore the kinetics of the time-dependent probability distributions over thermodynamic free energy profiles of protein folding and compared the results with simulation. The Fokker-Planck equation is mapped onto a Schrodinger-type equation due to the well-known solutions of the latter. Through a semi analytical description, the supersymmetric quantum mechanics formalism is invoked and the time-dependent probability distributions are obtained with numerical calculations by using the variational method. A coarse-grained structure-based model of the two-state protein TmCSP was simulated at a C-alpha level of resolution and the thermodynamics and kinetics were fully characterized. Analytical solutions from non-equilibrium conditions were obtained with the simulated double-well free energy potential and kinetic folding times were calculated. It was found that analytical folding time as a function of temperature agrees, quantitatively, with simulations and experiments from the literature of TmCSP having the well-known `U' shape of the Chevron Plots. The simple analytical model developed in this study has a potential to be used by theoreticians and experimentalists willing to explore, quantitatively, rates and the kinetic behavior of their system by informing the thermally activated barrier. The theory developed describes a stochastic process and, therefore, can be applied to a variety of biological as well as condensed-phase two-state systems. (C) 2017 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 11/17658-3 - Computational studies on protein folding and applications in the study of enzymes involved in bioethanol production
Grantee:Vitor Barbanti Pereira Leite
Support Opportunities: Regular Research Grants