Product-form stationary distributions for deficiency zero networks with\n non-mass action kinetics

2016/05/23 by D.F. Anderson, Anderson, David F., Simon L. Cotter +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · #60J27 #92C40 #92C42 #Bioinformatics and Genomic Networks #FOS: Biological sciences #FOS: Mathematics #Gene Regulatory Network Analysis #Microbial Metabolic Engineering and Bioproduction #Probability (math.PR) #Quantitative Methods (q-bio.QM)

paper · pdf · doi:10.48550/arxiv.1605.07042

openalex publication_date 2016/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In many applications, for example when computing statistics of fast\nsubsystems in a multiscale setting, we wish to find the stationary\ndistributions of systems of continuous time Markov chains. Here we present a\nclass of models that appears naturally in certain averaging approaches whose\nstationary distributions can be computed explicitly. In particular, we study\ncontinuous time Markov chain models for biochemical interaction systems with\nnon-mass action kinetics whose network satisfies a certain constraint.\nAnalogous with previous related results, the distributions can be written in\nproduct form.\n

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