Approximating intrinsic noise in continuous multispecies models

DOI10.1098/rspa.2010.0275zbMath1206.92009OpenAlexW2150335707MaRDI QIDQ3076709

Francis J. Poulin, Matthew R. Scott, Herbert Tang

Publication date: 23 February 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2010.0275

zbMATH Keywords

pattern formationTuring instabilitylinear noise approximationmethod of compounding moments

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Developmental biology, pattern formation (92C15)

Related Items (6)

Approximation and inference methods for stochastic biochemical kinetics—a tutorial review ⋮ The role of dimerisation and nuclear transport in the Hes1 gene regulatory network ⋮ Stochastic pattern formation and spontaneous polarisation: the linear noise approximation and beyond ⋮ Stochastic Turing patterns: analysis of compartment-based approaches ⋮ Coexistence of productive and non-productive populations by fluctuation-driven spatio-temporal patterns ⋮ The linear noise approximation for spatially dependent biochemical networks

Cites Work

• Numerical simulation of stochastic PDEs for excitable media
• Estimations of intrinsic and extrinsic noise in models of nonlinear genetic networks
• A POWER SERIES EXPANSION OF THE MASTER EQUATION

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