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Article Dans Une Revue Physica A: Statistical Mechanics and its Applications Année : 2015

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

Résumé

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.
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Dates et versions

hal-01172704 , version 1 (07-07-2015)

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C Bianca, A Lemarchand. Evaluation of reaction fluxes in stationary and oscillating far-from-equilibrium biological systems. Physica A: Statistical Mechanics and its Applications, 2015, 483, pp.1-16. ⟨10.1016/j.physa.2015.06.012⟩. ⟨hal-01172704⟩
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