Journal
JOURNAL OF THEORETICAL BIOLOGY
Volume 247, Issue 4, Pages 672-686Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2007.03.034
Keywords
molecular motor; F-1-ATPase; mechanochemical coupling; Stochastic process; arrhenius kinetics
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We report a theoretical study of the FI-ATPase molecular rotary motor experimentally studied by R. Yasuda, H. Noji, M. Yoshida, K. Kinosita Jr., H. Itch [Nature 410 (2001) 898]. The motor is modeled as a stochastic process for the angle of its shaft and the chemical state of its catalytic sites. The stochastic process is ruled by six coupled Fokker-Planck equations for the biased diffusion of the angle and the random jumps between the chemical states. The model reproduces the experimental observations that the motor proceeds by substeps and the rotation rate saturates at high concentrations of adenosine triphosphate or at low values of the friction coefficient. Moreover, predictions are made about the dependence of the rotation rate on temperature, and about the behavior of the F, motor under the effect of an external torque, especially, in the regime of synthesis of adenosine triphosphate. (c) 2007 Elsevier Ltd. All rights reserved.
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