Results on stochastic reaction networks with non-mass action kinetics.
Math Biosci Eng. 2019.
PMID: 31137202
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Results on stochastic reaction networks with non-mass action kinetics.
Math Biosci Eng. 2019 Mar 12;16(4):2118-2140. doi: 10.3934/mbe.2019103.
Math Biosci Eng. 2019.
PMID: 31137202
Free article.
In 2016, Cappelletti and Wiuf showed the converse of the main result in [1]: if a reaction network with stochastic mass action kinetics admits a stationary distribution that is a product of Poissons, then the deterministic model is comple …
In 2016, Cappelletti and Wiuf showed the converse of the main result in [1]: if a reaction network with stochastic …
Transition graph decomposition for complex balanced reaction networks with non-mass-action kinetics.
Math Biosci Eng. 2022 May 24;19(8):7649-7668. doi: 10.3934/mbe.2022359.
Math Biosci Eng. 2022.
PMID: 35801439
Free article.
The finite subsets of states we identify are called copies and are inspired by the modular topology of reaction network models. With such a choice we prove a novel graphical characterization of the concept of complex balancing for stochastic models of reac …
The finite subsets of states we identify are called copies and are inspired by the modular topology of reaction network models …
Comparison Theorems for Stochastic Chemical Reaction Networks.
Bull Math Biol. 2023 Mar 31;85(5):39. doi: 10.1007/s11538-023-01136-5.
Bull Math Biol. 2023.
PMID: 37000280
Free PMC article.
Continuous-time Markov chains are frequently used as stochastic models for chemical reaction networks, especially in the growing field of systems biology. A fundamental problem for these Stochastic Chemical Reaction Networks (SCRNs) is to …
Continuous-time Markov chains are frequently used as stochastic models for chemical reaction networks, especially in th …
Coclique level structure for stochastic chemical reaction networks.
J Math Biol. 2025 Nov 10;91(6):78. doi: 10.1007/s00285-025-02261-6.
J Math Biol. 2025.
PMID: 41212250
Free PMC article.
Continuous time Markov chains are commonly used as models for the stochastic behavior of chemical reaction networks. More precisely, these Stochastic Chemical Reaction Networks (SCRNs) are frequently used to gain a mechanistic understandi …
Continuous time Markov chains are commonly used as models for the stochastic behavior of chemical reaction networks. Mo …
Product-Form Stationary Distributions for Deficiency Zero Networks with Non-mass Action Kinetics.
Bull Math Biol. 2016 Dec;78(12):2390-2407. doi: 10.1007/s11538-016-0220-y. Epub 2016 Oct 27.
Bull Math Biol. 2016.
PMID: 27796722
Free PMC article.
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 …
In particular, we study continuous-time Markov chain models for biochemical interaction systems with non-mass action …
Product-form stationary distributions for deficiency zero chemical reaction networks.
Bull Math Biol. 2010 Nov;72(8):1947-70. doi: 10.1007/s11538-010-9517-4. Epub 2010 Mar 20.
Bull Math Biol. 2010.
PMID: 20306147
We consider stochastically modeled chemical reaction systems with mass-action kinetics and prove that a product-form stationary distribution exists for each closed, irreducible subset of the state space if an analogous deterministically modeled system …
We consider stochastically modeled chemical reaction systems with mass-action kinetics and prove that a product- …
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