The mathematical theory of molecular motor movement and chemomechanical energy transduction

Authors
Citation
H. Qian, The mathematical theory of molecular motor movement and chemomechanical energy transduction, J MATH CHEM, 27(3), 2000, pp. 219-234
Citations number
62
Categorie Soggetti
Chemistry
Journal title
JOURNAL OF MATHEMATICAL CHEMISTRY
ISSN journal
02599791 → ACNP
Volume
27
Issue
3
Year of publication
2000
Pages
219 - 234
Database
ISI
SICI code
0259-9791(2000)27:3<219:TMTOMM>2.0.ZU;2-J
Abstract
The mathematical formulation of the model for molecular movement of single motor proteins driven by cyclic biochemical reactions in an aqueous environ ment leads to a drifted Brownian motion characterized by coupled diffusion equations. In this article, we introduce the basic notion for the continuou s model and review some asymptotic solutions for the problem. (For the latt ice model see [17,47].) Stochastic, non-equilibrium thermodynamic interpret ations of the mathematical equations and their solutions are presented. Som e relevant mathematics, mainly in the field of stochastic processes, are di scussed.