Study of biological functions through formulation of the response theory of reaction network system

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We investigated the dynamical properties of catalytic reaction network systems inspired by the biochemical reaction networks in cells. We found the catalytic reaction systems involving not large enough number of molecules like cells generally realize the following phenomena. 1) The phase transition and self-organized criticality appear by the molecular number deficiency. 2) Slow relaxation to thermodynamic equilibrium state. We also proposed the origin of the phenotype fluctuation by these phenomena.