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arXiv · 1001.4212

Time-dependent corrections to effective rate and event statistics in Michaelis-Menten kinetics

N. A. Sinitsyn·I. Nemenman
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Abstract

We generalize the concept of the geometric phase in stochastic kinetics to a noncyclic evolution. Its application is demonstrated on kinetics of the Michaelis-Menten reaction. It is shown that the nonperiodic geometric phase is responsible for the correction to the Michaelis-Menten law when parameters, such as a substrate concentration, are changing with time. We apply these ideas to a model of chemical reactions in a bacterial culture of a growing size, where the geometric correction qualitatively changes the outcome of the reaction kinetics.

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N. A. Sinitsyn, I. Nemenman. 2010-01-24. Time-dependent corrections to effective rate and event statistics in Michaelis-Menten kinetics. https://doi.org/10.1049/iet-syb.2010.0064

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