Robustness Analysis of Spatiotemporal Models in the Presence of Extrinsic Fluctuations

DOI10.1137/15M1052317zbMath1386.35204arXiv1610.01323OpenAlexW2529175896MaRDI QIDQ4977149

Jan Klosa, Andreas Hellander, Shev MacNamara, Per Loetstedt

Publication date: 3 August 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01323

zbMATH Keywords

robustnesslinear stabilityperturbation analysisextrinsic noise

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

Positivity-preserving methods for ordinary differential equations ⋮ Applications of Magnus expansions and pseudospectra to Markov processes ⋮ Localization and Pseudospectra of Twisted Toeplitz Matrices with Applications to Ion Channels

Uses Software

• URDME

Cites Work

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• Mathematical biology. Vol. 1: An introduction.
• Simulation of Stochastic Reaction-Diffusion Processes on Unstructured Meshes
• Transition state theory and dynamical corrections in ergodic systems
• Stochastic differential equations. An introduction with applications.
• The geometry of biological time.

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