Orthogonality of Fluxes in General Nonlinear Reaction Networks

TL;DR

This paper explores the mathematical structure of nonlinear reaction networks, generalizing the concept of force orthogonality and establishing bounds relating free energy loss and Fisher information to rate functionals.

Contribution

It introduces a generalized orthogonality of forces in nonlinear reaction networks and derives bounds linking free energy loss and Fisher information to rate functionals.

Findings

Generalization of force orthogonality in reaction networks

Derived inequality bounding free energy loss and Fisher information

Adapted large deviation rate functional results to reaction networks

Abstract

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.