Non-explosivity of stochastically modeled reaction networks that are\n complex balanced

2017/08/30 by David F. Anderson, Daniele Cappelletti, Anderson, David F. +5 · 2 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Gene Regulatory Network Analysis #Process Optimization and Integration #Advanced Thermodynamics and Statistical Mechanics

paper · pdf · doi:10.48550/arxiv.1708.09356

Abstract

We consider stochastically modeled reaction networks and prove that if a\nconstant solution to the Kolmogorov forward equation decays fast enough\nrelatively to the transition rates, then the model is non-explosive. In\nparticular, complex balanced reaction networks are non-explosive.\n

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