A free energy based mathematical study for molecular motors
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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.
Keywordsmolecular motors Parrondo’s paradox
MSC2010 numbers37H10 60J27 60J60
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- 2.Chow, S.N., Huang, W., Li, Y., and Zhou, H.M., Fokker-Planck Equations for a Free Energy Functional or Markov Process on a Graph. Preprint.Google Scholar
- 4.Berresford, G.C. and Rockett, A.M., Parrondo’s Paradox, Int. J. Math. Math. Sci., 2003, no. 62, pp. 3957–3962.Google Scholar
- 6.Harmer, G.P. and Abbott, D., A Review of Parrondo’s Paradox, Fluct. Noise Lett., 2002, vol. 2, no. 2, pp. 71–107.Google Scholar