WIAS Preprint No. 2609, (2019)

Orthogonality of fluxes in general nonlinear reaction networks


  • Renger, D. R. Michiel
    ORCID: 0000-0003-3557-3485
  • Zimmer, Johannes

2010 Mathematics Subject Classification

  • 60J27 80A30 82C22 82C35


  • Chemical reactions, reaction fluxes, large deviations, orthogonality




We consider the chemical reaction networks and study currents in these systems. Reviewing recent decomposition of rate functionals from large deviation theory for Markov processes, we adapt these results for reaction networks. In particular, we state a suitable generalisation of orthogonality of forces in these systems, and derive an inequality that bounds the free energy loss and Fisher information by the rate functional.

Appeared in

  • Discrete Contin. Dyn. Syst. Ser. S, 14 (2021), pp. 205--217 (published online on 19.05.2020), DOI 10.3934/dcdss.2020346 .

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