Michaelis-menten equation and detailed balance in enzymatic networks

Journal of Physical Chemistry B

Volumn 115, Issue 18, 2011, Pages 5493-5498

  Cao, Jianshu ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DETAILED BALANCE; ENZYMATIC REACTION; FLUX BALANCE; FUNCTIONAL FORMS; MICHAELIS-MENTEN; MICHAELIS-MENTEN EQUATIONS; SINGLE-MOLECULE; SINGLE-MOLECULE STUDIES; SUBSTRATE CONCENTRATIONS; SUFFICIENT CONDITIONS; TURNOVER RATE; TURNOVER TIME;

EID: 79955447968     PISSN: 15206106     EISSN: 15205207     Source Type: Journal    
DOI: 10.1021/jp110924w     Document Type: Article

References (25)

1. Michaelis, L.; Menten., M. L. Die kinetik der invertinwirkung. Biochem. Z. 1913, 49, 333.
2. A. Fersht. Structure and mechanism in protein science; W.H. Freeman and Co.: New York, 1998.
3. Segel, I. H. Enzyme kinetics: behavior and analysis of rapid equilibrium and steady state enzyme systems; Xibrary Ed.: New York, 1993.
4. Kou, S. C.; Cherayli, Binny J.; Min, W.; English, B. P.; Xie, X. S. Single-molecule michaelis-menten equations. J. Phys. Chem. B 2005, 109, 19068.
5. Lerch, H. P.; Rigler, R.; Mikhailov, A. S. Functional conformational motions in the turnover cycle of cholesterol oxidase. Proc. Natl. Acad. Sci. U.S.A. 2005, 102, 10807.
6. Flomenbom, O.; Velonia, K.; Loos, D.; Masuo, S.; Cotlet, M.; Engelborghs, Y.; Hofkens, J.; Rowan, A. E.; Nolte, R. J. M.; van der Auweraer, M.; de Schryver, F. C.; Klafter, J. Stretched exponential decay and correlations in the catalytic activity of fluctuating single lipase molecules. Proc. Natl. Acad. Sci. U. S. A. 2005, 102, 2368.
7. Lu, H. P.; Xun, L.; Xie, X. S. Single-molecule enzymatic dynamics. Science 1998, 282, 1877.
8. Edman, L.; Mets, U.; Rigler, R. Conformational transitions monitored for single molecules in solution. Proc. Natl. Acad. Sci. U. S. A. 1996, 93, 6710.
9. Gopich, I. V.; Szabo, A. Theory of the statistics of kinetic transitions with application to single molecule enzyme catalysis. J. Chem. Phys. 2006, 124, 154712 .
10. Min, W.; Gopich, I. V.; English, B. P.; Kou, S. C.; Xie, X.; Szabo, A. When does the Michaelis-Menten equation hold for fluctuating enzymes? J. Phys. Chem. B 2006, 110, 20093-20097. (Pubitemid 44797423)
11. N. G. van Kampen. Stochastic processes in physics and chemistry; Elsevier Science: New York, 1992.
12. Ninio, J. Alternative to the steady-state method: Derivation of reaction rates from first-passage times and pathway probabilities. Proc. Natl. Acad. Sci. U. S. A. 1987, 84, 663.
13. Bar-Haim, A.; Klafter, J. On mean residence and first passage times in finite on-dimensional systems. J. Chem. Phys. 1998, 109, 5187.
14. Cao, J.; Silbey, R. J. Generic schemes for single molecule kinetics: Self-consistent pathway solutions. J. Phys. Chem. 2008, 112, 12867.
15. Cao, J. Event-averaged measurements of single molecule kinetics. Chem. Phys. Lett. 2000, 327, 38.
16. Gopich, I. V.; Szabo, A. Statistics of transitions in single molecule kinetics. J. Chem. Phys. 2003, 118, 454.
17. Barsegov, V.; Chernyak, V.; Mukamel, S. Multitime correlation functions for single molecule kinetics with fluctuating bottlenecks. J. Chem. Phys. 2002, 116, 4240.
18. Frieden, C. Kinetic aspects of regulation of metabolic processes. J. Biol. Chem. 1970, 245, 5788.
19. Ainslie, G. R.; Shill, J.P.; Neet, K.E. A slowtransition model for relating transients and cooperative kinetics of enzymes. J. Biol. Chem. 1972, 247, 7088-7096.
20. Kolomeisky, A. B.; Misher, M. F. Extended kinetic models with waiting-time distributions. J. Chem. Phys. 2000, 111 , 10867.
21. Stukalin, E. B.; Kolomeisky, A. B. Transport of single molecule along the periodic parallel lattices with coupling. J. Chem. Phys. 2006, 124, 204901.
22. Yang, S.; Cao, J. Direct measurements of memory effects in single molecule kinetics. J. Chem. Phys. 2002, 117, 10996..
23. Wu, J.; Cao, J. Generalized Michaelis-Menten equation for non-equilibrium enzymatic networks. Adv. Phys. Chem. 2011 in press.
24. Bustamante, C.; Keller, D.; Oster., G. The physics ofmolecular motors. Acc. Chem. Res. 2001, 34, 412-420.
25. Witkoskie, J.; Cao, J. Signatures ofdetailed balance violations in single molecule event statistics. Submitted for publication.