Abstract
The thermal efficiency of the kinesin cycle at stalling is presently a matter of some debate, with published predictions ranging from 0 [Phys. Rev. Lett. 99, 158102 (2007); Phys. Rev. E 78, 011915 (2008)] to 100% [in Molecular Motors, edited by M. Schliwa (Wiley-VCH Verlag GmbH, Weinheim (2003), p. 207]. In this note we attemp to clarify the issues involved. We also find an upper bound on the kinesin efficiency by constructing an ideal kinesin cycle to which the real cycle may be compared. The ideal cycle has a thermal efficiency of less than one, and the real one is less efficient than the ideal one always, in compliance with Carnot’s theorem.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. Schrodinger, What is Life? The Physical Aspect of the Living Cell (Cambridge University Press, Cambridge, 1945)
D. Darling, Life Everywhere (Basic Books, New York, 2001)
P. Nelson, Biological Physics (Freeman, New York, 2004)
J. Tuszynski, M. Kurzynski, Introduction to molecular biophysics (CRC Press, Boca Raton, 2003)
D. Haynes, Biological Thermodynamics (Cambridge University Press, Cambridge, 2008)
F. Ritort, e-print arXiv: 0705.0455 (Adv. Chem. Phys. 137, to appear)
A.W.C. Lau, D. Lacoste, K. Mallick, Phys. Rev. Lett. 99, 158102 (2007)
D. Lacoste, A.W.C. Lau, K. Mallick, Phys. Rev. E 78, 011915 (2008)
G. Oster, H. Wang, How protein motors convert chemical energy into mechanical work, in Molecular Motors, edited by M. Schliwa (Wiley-VCH Verlag GmbH, Weinheim, 2003), p. 207
H. Linke, M. Downton, M. Zuckerman, Chaos 15, 026111 (2005)
J. Parrondo, J. Blanco, F. Cao, R. Brito, EuroPhys. Lett. 43, 248 (1998)
J. Parrondo, B. Jimenez de Cisneros, R. Brito, Thermodynamics of isothermal Brownian motors, in Stochastic Processes in Physics, Chemistry and Biology LNP557, edited by J. Freund, T. Poschel (Springer-Verlag, Berlin, 2000), p. 38
H. Wang, H. Zhou, Stokes Efficiency of molecular motor-cargo systems, Abstract and Applied Analysis, Article Id 241736 (2008)
M. Magnasco,Phys. Rev. Lett. 72, 2656 (1994)
A. Ciudad, J.M. Sancho, G.P. Tsironis, J. Biol. Phys. 32, 455463 (2006)
M. Bier,Eur. Phys. J. B e2008-00271-1 (2008)
M. Nishiyama, H. Higuchi, Y. Ishii, Y. Taniguchi, T. Yanagida,BioSystems 71, 145 (2003)
Y. Taniguchi, M. Nishiyama, Y. Ishii, T. Yanagida, Nature Chemical Biology 1, 142 (2005)
N. Carter, R. Cross, Nature 435, 308 (2005)
M. Schnitzer, K. Visscher, S. Block, Nature Cell Biology 2, 718 (2000)
J. Howard, Mechanics of Motor Proteins, in Physics of Bio-molecules and cells 75th Les Houches Summer School, edited by H. Flyvbjerg, F. Jülicher, P. Ormos, F. David (Springer-Verlag, Berlin, 2002)
S. Rice, Y. Cui, C. Sindelar, N. Naber, M. Matuska, R. Vale, R. Cooke,Biophysical Journal 84, 1844 (2003)
S. Block, Kinesin motor mechanics, www.biophysics.org/discussions/2006/Block.pdf
G. Crooks,J. Stat. Phys. 90, 1481 (1998)
G. Crooks, Phys. Rev. E 60, 2721 (1999)
G. Crooks, Phys. Rev. E 61, 2361 (2000)
F. Ritort, Poincare Seminar 2, 195 (2003)
D. Collin, F. Ritort, C. Jarzynski, S. Smith, I. Tinoco Jr. C. Bustamante,Nature 437, 231 (2005)
J. Kurchan, Non-equilibrium work relations, e-print arXiv: cond-mat/0511073
C. Maes,Seminaire Poincare 2, 29 (2003)
F. Zamponi, F. Bonetto, L. Cugliandolo, J. Kurchan,J. Stat. Mech. P09013 (2005)
O. Braun, A. Hanke, U. Seifert, energy landscapes by periodic loading, e-print arXiv: cond-mat/0402496
O. Braun, U. Seifert, Europhys. Lett. 68, 746752 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Calzetta, E. Kinesin and the Crooks fluctuation theorem. Eur. Phys. J. B 68, 601–605 (2009). https://doi.org/10.1140/epjb/e2009-00113-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2009-00113-8