Self-regulating gene: An exact solution

J. E. M. Hornos, D. Schultz, G. C. P. Innocentini, J. Wang, A. M. Walczak, J. N. Onuchic, and P. G. Wolynes
Phys. Rev. E 72, 051907 – Published 4 November 2005

Abstract

An exact steady-state solution of the stochastic equations governing the behavior of a gene regulated by a self-generated proteomic atmosphere is presented. The solutions depend on an adiabaticity parameter measuring the relative rate of DNA-protein unbinding and protein degradation. The steady-state solution reveals deviations from the commonly used Ackers et al. approximation based on the equilibrium law of mass action, allowing anticooperative behavior in the “nonadiabatic” limit of slow binding and unbinding rates. Noise from binding and unbinding events dominates the shot noise of protein synthesis and degradation up to quite high values of the adiabaticity parameter.

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  • Received 22 December 2004

DOI:https://doi.org/10.1103/PhysRevE.72.051907

©2005 American Physical Society

Authors & Affiliations

J. E. M. Hornos1,2, D. Schultz1, G. C. P. Innocentini2, J. Wang3, A. M. Walczak1, J. N. Onuchic1, and P. G. Wolynes1

  • 1Center for Theoretical Biological Physics, University of California at San Diego, La Jolla, California 92093-0374, USA
  • 2Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, BR-13560-970 São Carlos, S.P., Brazil
  • 3Department of Chemistry, State University of New York, Stony Brook, New York 11794, USA

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Vol. 72, Iss. 5 — November 2005

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