2001/06/15 by Hong Qian
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #cond-mat.stat-mech #q-bio
paper · pdf · doi:10.1023/a:1026428320489
published as Journal of Mathematical Chemistry, Vol 27, pp.219-234 (2000) · 20 pages
arxiv created 2001/06/15 · arxiv updated 2009/11/30
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.