Biology – Quantitative Biology – Quantitative Methods
Scientific paper
2010-01-24
IET Syst Biol 4, 409, 2010
Biology
Quantitative Biology
Quantitative Methods
11 pages
Scientific paper
10.1049/iet-syb.2010.0064
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.
Nemenman Ilya
Sinitsyn Nikolai A.
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