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Regular and Chaotic Dynamics, 2011, Volume 16, Issue 1-2, Pages 117–127
DOI: https://doi.org/10.1134/S1560354711010047 (Mi rcd431) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A free energy based mathematical study for molecular motors

Shui-Nee Chowa, Wen Huangb, Yao Lia, Haomin Zhoua

a School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332
b Department of mathematics, University of science and Technology of China, Hefei Anhui 230026, P. R. China
Citations (1)
DOI: https://doi.org/10.1134/S1560354711010047
Abstract: We present a Parrondo’s paradox for free energy in a classical flashing ratchet model and use it as an alternative way to interpret the working mechanism of molecular motors. We also study the efficiency of molecular motors measured by their free energies. Our example demonstrates that a molecular motor can gain up to 20% in its free energy during the process. In addition, we report a noise induced free energy increasing phenomenon, which is similar to the stochastic resonance, in flashing ratchet models.
Keywords: molecular motors, Parrondo’s paradox.
Received: 11.10.2010
Accepted: 02.12.2010
Bibliographic databases:
Document Type: Article
MSC: 37H10,60J27,60J60
Language: English
Citation: Shui-Nee Chow, Wen Huang, Yao Li, Haomin Zhou, “A free energy based mathematical study for molecular motors”, Regul. Chaotic Dyn., 16:1-2 (2011), 117–127
Citation in format AMSBIB
\Bibitem{ChoHuaLi11}
\by Shui-Nee Chow, Wen Huang, Yao Li, Haomin Zhou
\paper A free energy based mathematical study for molecular motors
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 1-2
\pages 117--127
\mathnet{http://mi.mathnet.ru/rcd431}
\crossref{https://doi.org/10.1134/S1560354711010047}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2774383}
\zmath{https://zbmath.org/?q=an:1229.82130}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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