Moment closure approximations for stochastic kinetic models with rational rate laws

DOI10.1016/j.mbs.2011.02.006zbMath1214.92001OpenAlexW2076605506WikidataQ51600894 ScholiaQ51600894MaRDI QIDQ541876

Darren J. Wilkinson, Peter Milner, Colin S. Gillespie

Publication date: 8 June 2011

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2011.02.006

zbMATH Keywords

Michaelis-MentenHillHolling

Mathematics Subject Classification ID

Special processes (60K99) Biochemistry, molecular biology (92C40) General biology and biomathematics (92B05)

Related Items (6)

Revisiting moment-closure methods with heterogeneous multiscale population models ⋮ Comparison of Dynamical Behaviors Between Monofunctional and Bifunctional Two-Component Signaling Modules ⋮ Moment Closure and Finite-Time Blowup for Piecewise Deterministic Markov Processes ⋮ Markovian dynamics on complex reaction networks ⋮ Moment closure based parameter inference of stochastic kinetic models ⋮ Perturbation and truncation of probability generating function methods for stiff chemical reactions

Cites Work

• Novel moment closure approximations in stochastic epidemics
• Moment expansions in spatial ecological models and moment closure through Gaussian approximation
• Assessing the variability of stochastic epidemics
• Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
• Effects of immigration on some stochastic logistic models: A cumulant truncation analysis
• Novel bivariate moment-closure approximations
• Stochastic hybrid systems for studying biochemical processes
• Modelling Biological Populations in Space and Time
• Global Stability for a Class of Predator-Prey Systems
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