Time-dependent corrections to effective rate and event statistics in Michaelis–Menten kinetics
Time-dependent corrections to effective rate and event statistics in Michaelis–Menten kinetics
- Author(s): N.A. Sinitsyn and I. Nemenman
- DOI: 10.1049/iet-syb.2010.0064
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- Author(s): N.A. Sinitsyn 1 and I. Nemenman 2
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View affiliations
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Affiliations:
1: Theoretical Division, Los Alamos National Laboratory, USA and New Mexico Consortium, Los Alamos, USA
2: Department of Physics and Department of Biology and Computational and Life Sciences Strategic Initiative, Emory University, Atlanta, USA
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Affiliations:
1: Theoretical Division, Los Alamos National Laboratory, USA and New Mexico Consortium, Los Alamos, USA
- Source:
Volume 4, Issue 6,
November 2010,
p.
409 – 415
DOI: 10.1049/iet-syb.2010.0064 , Print ISSN 1751-8849, Online ISSN 1751-8857
The authors generalise the concept of the geometric phase in stochastic kinetics to a non-cyclic evolution. Its application is demonstrated on kinetics of the Michaelis–Menten reaction. It is shown that the non-periodic geometric phase is responsible for the correction to the Michaelis–Menten law when parameters, such as a substrate concentration, are changing with time. The authors 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.
Inspec keywords: stochastic processes; reaction kinetics; cellular biophysics; microorganisms; biochemistry; statistical analysis
Other keywords:
Subjects: Cellular biophysics; Probability theory, stochastic processes, and statistics; Chemical kinetics
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