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

Abstract

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.

Authors:
 [1]
  1. Los Alamos National Laboratory
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
964942
Report Number(s):
LA-UR-08-04425; LA-UR-08-4425
Journal ID: ISSN 0295-5075; EULEEJ; TRN: US200919%%378
DOE Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article
Journal Name:
Europhysics Letters
Additional Journal Information:
Journal Name: Europhysics Letters; Journal ID: ISSN 0295-5075
Country of Publication:
United States
Language:
English
Subject:
59 BASIC BIOLOGICAL SCIENCES; KINETICS; REACTION KINETICS; STOCHASTIC PROCESSES; SUBSTRATES

Citation Formats

Sinitsyn, Nikolai A. Non-cyclic Geometric Phase In Stochastic Processes: Corrections To Michaelis-menten Kinetics And Applications To A Cell Growth Model. United States: N. p., 2008. Web.
Sinitsyn, Nikolai A. Non-cyclic Geometric Phase In Stochastic Processes: Corrections To Michaelis-menten Kinetics And Applications To A Cell Growth Model. United States.
Sinitsyn, Nikolai A. 2008. "Non-cyclic Geometric Phase In Stochastic Processes: Corrections To Michaelis-menten Kinetics And Applications To A Cell Growth Model". United States. https://www.osti.gov/servlets/purl/964942.
@article{osti_964942,
title = {Non-cyclic Geometric Phase In Stochastic Processes: Corrections To Michaelis-menten Kinetics And Applications To A Cell Growth Model},
author = {Sinitsyn, Nikolai A},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/964942}, journal = {Europhysics Letters},
issn = {0295-5075},
number = ,
volume = ,
place = {United States},
year = {Tue Jan 01 00:00:00 EST 2008},
month = {Tue Jan 01 00:00:00 EST 2008}
}