ArticleBulletin of mathematical biology2016
Product-Form Stationary Distributions for Deficiency Zero Networks with Non-mass Action Kinetics.
Article in Bulletin of mathematical biology, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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6 citing papers in PubMed.
- Derivation of stationary distributions of biochemical reaction networks via structure transformation.Communications biology · 2021Article
- Mixture distributions in a stochastic gene expression model with delayed feedback: a WKB approximation approach.Journal of mathematical biology · 2020Article
- Time-dependent product-form Poisson distributions for reaction networks with higher order complexes.Journal of mathematical biology · 2020Article
- Discrepancies between extinction events and boundary equilibria in reaction networks.Journal of mathematical biology · 2019Article
- Deciphering noise amplification and reduction in open chemical reaction networks.Journal of the Royal Society, Interface · 2018Article
- Solving moment hierarchies for chemical reaction networks.Journal of physics. A, Mathematical and theoretical · 2017Article
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2 authors.
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Abstract
In many applications, for example when computing statistics of fast subsystems in a multiscale setting, we wish to find the stationary distributions of systems of continuous-time Markov chains. Here we present a class of models that appears naturally in certain averaging approaches whose stationary distributions can be computed explicitly. In particular, we study continuous-time Markov chain models for biochemical interaction systems with non-mass action kinetics whose network satisfies a certain constraint. Analogous with previous related results, the distributions can be written in product form.
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