Exact dynamic properties of molecular motors.
Boon, NJ and Hoyle, RB (2012) Exact dynamic properties of molecular motors. J Chem Phys, 137 (8). 084102 - ?. ISSN 0021-9606
Available under License : See the attached licence file.
Molecular motors play important roles within a biological cell, performing functions such as intracellular transport and gene transcription. Recent experimental work suggests that there are many plausible biochemical mechanisms that molecules such as myosin-V could use to achieve motion. To account for the abundance of possible discrete-stochastic frameworks that can arise when modeling molecular motor walks, a generalized and straightforward graphical method for calculating their dynamic properties is presented. It allows the calculation of the velocity, dispersion, and randomness ratio for any proposed system through analysis of its structure. This article extends work of King and Altman ["A schematic method of deriving the rate laws of enzyme-catalyzed reactions," J. Phys. Chem. 60, 1375-1378 (1956)] on networks of enzymatic reactions by calculating additional dynamic properties for spatially hopping systems. Results for n-state systems are presented: single chain, parallel pathway, divided pathway, and divided pathway with a chain. A novel technique for combining multiple system architectures coupled at a reference state is also demonstrated. Four-state examples illustrate the effectiveness and simplicity of these methods.
Copyright 2012 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
The following article appeared in Journal of Chemical Physics , 137 (8) and may be found at http://jcp.aip.org/resource/1/jcpsa6/v137/i8/p084102_s1?bypassSSO=1
|Divisions:||Faculty of Engineering and Physical Sciences > Mathematics|
|Depositing User:||Symplectic Elements|
|Date Deposited:||11 Oct 2012 12:25|
|Last Modified:||23 Sep 2013 19:42|
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