Non-cyclic Geometric Phase In Stochastic Processes: Corrections To Michaelis-menten Kinetics And Applications To A Cell Growth Model

Journal Article · Tue Jan 01 00:00:00 EST 2008 · Europhysics Letters

OSTI ID:964942

Sinitsyn, Nikolai A ^[1]

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1. Los Alamos National Laboratory

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 noncyclic geometric phase is responsible for the correction to the Michaelis-Menten law when parameters, such as a substrate concentration, are changing with time. We also discuss a model, where this correction qualitatively changes the outcome of reaction kinetics.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC52-06NA25396
• OSTI ID: 964942
• Report Number(s): LA-UR-08-04425; LA-UR-08-4425; EULEEJ; TRN: US200919%%378
• Journal Information: Europhysics Letters, Journal Name: Europhysics Letters; ISSN 0295-5075
• Country of Publication: United States
• Language: English

Related Subjects

59 BASIC BIOLOGICAL SCIENCES
KINETICS
REACTION KINETICS
STOCHASTIC PROCESSES
SUBSTRATES