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Evaluation of reaction fluxes in stationary and oscillating far-from-equilibrium biological systems

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  • Bianca, C.
  • Lemarchand, A.

Abstract

The complex spatio-temporal structures that appear in chemical and biological systems require far-from-equilibrium conditions which may lead to the circulation of reaction fluxes. We investigate how time asymmetry of cross-correlation functions of concentration fluctuations may be exploited to determine reaction fluxes at the cellular level. Using simulations of the master equation as a reference, we show that, far from a bifurcation, the Langevin approach provides a reliable tool to compute analytical expressions for time correlation functions. Biochemical mechanisms associated with bistability and oscillations issued from a Hopf bifurcation or a saddle–node infinite period bifurcation are considered. We show that the blind use of the simple relation obtained when assuming a linear deterministic dynamics often leads to a poor estimation of the value of the reaction flux and even of its sign.

Suggested Citation

  • Bianca, C. & Lemarchand, A., 2015. "Evaluation of reaction fluxes in stationary and oscillating far-from-equilibrium biological systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 1-16.
    • Handle: RePEc:eee:phsmap:v:438:y:2015:i:c:p:1-16
    DOI: 10.1016/j.physa.2015.06.012
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