Work

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

Year: 2010
Type: article
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W2025876113
FWCI: 0.391
Cites: 25
Cited by: 6
Related to: 10