Limit theorems for generalized density-dependent Markov chains and bursty stochastic gene regulatory networks

30 Aug 2019 Chen Xian Jia Chen

Stochastic gene regulatory networks with bursting dynamics can be modeled mesocopically as a generalized density-dependent Markov chain (GDDMC) or macroscopically as a piecewise-deterministic Markov process (PDMP). Here we prove a limit theorem showing that each family of GDDMCs will converge to a PDMP as the system size tends to infinity... (read more)

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Categories


  • PROBABILITY
  • MOLECULAR NETWORKS
  • QUANTITATIVE METHODS