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

DOI10.1016/j.physa.2015.06.012zbMath1400.92006OpenAlexW2128673165MaRDI QIDQ1618743

Annie Lemarchand, Carlo Bianca

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://hal.sorbonne-universite.fr/hal-01172704/file/Bianca_2015_Evaluation_of.pdf

zbMATH Keywords

saddle-node bifurcationHopf bifurcationmaster equationLangevin equationstime correlation functionsreaction flux

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) General biology and biomathematics (92B05)

Related Items (3)

Langevin approach for intrinsic fluctuations of chemical reactions with Hopf bifurcation ⋮ On oscillations and noise in multicomponent adsorption: the nature of multiple stationary states ⋮ Approximation and inference methods for stochastic biochemical kinetics—a tutorial review

Cites Work

• Temporal asymmetry of fluctuations in the nonequilibrium FPU model
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Dynamical ensembles in stationary states.
• Mathematical biology. Vol. 1: An introduction.
• Probability of second law violations in shearing steady states
• Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Field Model
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