The Mathematical Theory of Molecular Motor Movement and Chemomechanical Energy Transduction

Details The Mathematical Theory of Molecular Motor Movement and Chemomechanical Energy Transduction The Mathematical Theory of Molecular Motor Movement and Chemomechanical Energy Transduction

2001-06-15

arxiv.org/abs/cond-mat/0106302v1

Journal of Mathematical Chemistry, Vol 27, pp.219-234 (2000)

Physics

Condensed Matter

Statistical Mechanics

20 pages

Scientific paper

10.1023/A:1026428320489

The mathematical formulation of the model for molecular movement of single motor proteins driven by cyclic biochemical reactions in an aqueous environment leads to a drifted Brownian motion characterized by coupled diffusion equations. In this article, we introduce the basic notion for the continuous model and review some asymptotic solutions for the problem. Stochastic, nonequilibrium thermodynamic interpretations of the mathematical equations and their solutions are presented. Some relevant mathematics, mainly in the field of stochastic processes, are discussed.

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