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Orthogonality of fluxes in general nonlinear reaction networks
Discrete and Continuous Dynamical Systems-Series S ( IF 1.8 ) Pub Date : 2020-05-12 , DOI: 10.3934/dcdss.2020346 D. R. Michiel Renger , , Johannes Zimmer ,
Discrete and Continuous Dynamical Systems-Series S ( IF 1.8 ) Pub Date : 2020-05-12 , DOI: 10.3934/dcdss.2020346 D. R. Michiel Renger , , Johannes Zimmer ,
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.
中文翻译:
一般非线性反应网络中通量的正交性
我们考虑化学反应网络并研究这些系统中的电流。回顾一下大偏差理论对马尔可夫过程的速率泛函的最新分解,我们将这些结果用于反应网络。特别是,我们对这些系统中力的正交性进行了适当的概括,并得出了一个不等式,该不等式通过速率函数来限制自由能损耗和Fisher信息。
更新日期:2020-05-12
中文翻译:
一般非线性反应网络中通量的正交性
我们考虑化学反应网络并研究这些系统中的电流。回顾一下大偏差理论对马尔可夫过程的速率泛函的最新分解,我们将这些结果用于反应网络。特别是,我们对这些系统中力的正交性进行了适当的概括,并得出了一个不等式,该不等式通过速率函数来限制自由能损耗和Fisher信息。