Non-cyclic Geometric Phase In Stochastic Processes: Corrections To Michaelis-menten Kinetics And Applications To A Cell Growth Model
Journal Article
·
· Europhysics Letters
OSTI ID:964942
- 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)
- Sponsoring Organization:
- DOE
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 964942
- Report Number(s):
- LA-UR-08-04425; LA-UR-08-4425
- Journal Information:
- Europhysics Letters, Journal Name: Europhysics Letters; ISSN 0295-5075; ISSN EULEEJ
- Country of Publication:
- United States
- Language:
- English
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