2022/06/02 by Tetsuya J. Kobayashi, Dimitri Loutchko, Kobayashi, Tetsuya J. +5
Biochemistry, Genetics and Molecular Biology · Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chemical Physics (physics.chem-ph) #FOS: Biological sciences #FOS: Physical sciences #Gene Regulatory Network Analysis #Molecular Networks (q-bio.MN) #thermodynamics and calorimetric analyses
paper · pdf · doi:10.48550/arxiv.2206.00863
openalex publication_date 2022/06/02 · openalex created_date 2022/06/12 · openalex updated_date 2026/07/28
We derive the Hessian geometric structure of nonequilibrium chemical reaction networks (CRN) on the flux and force spaces induced by the Legendre duality of convex dissipation functions and characterize their dynamics as a generalized flow. With this structure, we can extend theories of nonequilibrium systems with quadratic dissipation functions to more general ones with nonquadratic ones, which are pivotal for studying chemical reaction networks. By applying generalized notions of orthogonality in Hessian geometry to chemical reaction networks, we obtain two generalized decompositions of the entropy production rate, each of which captures gradient-flow and minimum-dissipation aspects in nonequilibrium dynamics.