Cited by 133Advanced Thermodynamics and Statistical Mechanicsthermodynamics and calorimetric analysesstochastic dynamics and bifurcation

Stochastic thermodynamics of single enzymes and molecular motors

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Seifert, U.·2011·The European Physical Journal E

Abstract

For a single enzyme or molecular motor operating in an aqueous solution of non-equilibrated solute concentrations, a thermodynamic description is developed on the level of an individual trajectory of transitions between states. The concept of internal energy, intrinsic entropy and free energy for states follows from a microscopic description using one assumption on time scale separation. A first-law energy balance then allows the unique identification of the heat dissipated in one transition. Consistency with the second law on the ensemble level enforces both stochastic entropy as third contribution to the entropy change involved in one transition and the local detailed balance condition for the ratio between forward and backward rates for any transition. These results follow without assuming weak coupling between the enzyme and the solutes, ideal solution behavior or mass action law kinetics. The present approach highlights both the crucial role of the intrinsic entropy of each state and the physically questionable role of chemiostats for deriving the first law for molecular motors subject to an external force under realistic conditions.

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  1. [6]6. C. Bustamante, J. Liphardt, and F. Ritort, Physics Today 58(7) , 43 (2005).
  2. [12]12. E. H. Trepagnier et al. , Proc. Natl. Acad. Sci. U.S.A. 101 , 15038 (2004).
  3. [18]18. G. Hummer and A. Szabo, Proc. Natl. Acad. Sci. U.S.A. 98 , 3658 (2001).
  4. [25]25. R. D. Astumian and P. H¨ anggi, Physics Today 55(11) , 33 (2002).
  5. [28]28. M. E. Fisher and A. B. Kolomeisky, Proc. Natl. Acad. Sci. U.S.A. 96 , 6597 (1999).

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Authors
Seifert, U.
Affiliations
University of Stuttgart (DE)
Corresponding author
Seifert, U.
Venue
The European Physical Journal E
Published
2011-03
Volume
34
Issue
3
Pages
26-26
ISSN
  • 1292-8941 (ISSN-L)
  • 1292-895X
OpenAlex
W2022842756
Cited by
133
References
60
Citations by year
2026: 3 · 2025: 7 · 2024: 4 · 2023: 4 · 2022: 23 · 2021: 7 · 2020: 8 · 2019: 12 · 2018: 11 · 2017: 16 · 2016: 8 · 2015: 8 · 2014: 12 · 2013: 3 · 2012: 6
FWCI
5.39
Type
journal article
Language
en
Open access
Locations
  • The European Physical Journal E (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Springer Link (Chiba Institute of Technology) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
  • Physical Sciences › Chemistry › Physical and Theoretical Chemistry › thermodynamics and calorimetric analyses
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › stochastic dynamics and bifurcation
Keywords
stochastic thermodynamics, molecular motors, heat dissipation, first law of thermodynamics, second law, detailed balance, free energy, internal energy, time-scale separation, enzyme kinetics
MeSH terms
Adenosine Triphosphate, Enzymes, Hydrolysis, Kinetics, Models, Chemical, Protein Conformation, Stochastic Processes, Entropy, Molecular Motor Proteins

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