Elimination of intermediate species in multiscale stochastic reaction networks

DOI10.1214/15-AAP1166zbMath1353.60071arXiv1408.2474WikidataQ64004731 ScholiaQ64004731MaRDI QIDQ350700

Daniele Cappelletti, Carsten Wiuf

Publication date: 9 December 2016

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2474

zbMATH Keywords

chemical reactionmodel reductionlimit distributionstochastic reaction networksapproximative dynamicscontinuous-time Markov process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Functional limit theorems; invariance principles (60F17) Continuous-time Markov processes on discrete state spaces (60J27) Applications of continuous-time Markov processes on discrete state spaces (60J28)

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Fast reactions with non-interacting species in stochastic reaction networks ⋮ On balance relations for irreversible chemical reaction networks ⋮ A unified framework for limit results in chemical reaction networks on multiple time-scales ⋮ Uniform Approximation of Solutions by Elimination of Intermediate Species in Deterministic Reaction Networks ⋮ Kinetic Foundation of the Zero-Inflated Negative Binomial Model for Single-Cell RNA Sequencing Data ⋮ A spatial measure-valued model for chemical reaction networks in heterogeneous systems ⋮ Tier structure of strongly endotactic reaction networks ⋮ Graphically Balanced Equilibria and Stationary Measures of Reaction Networks ⋮ Ergodicity Analysis and Antithetic Integral Control of a Class of Stochastic Reaction Networks with Delays ⋮ Discrepancies between extinction events and boundary equilibria in reaction networks

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