Stability and Strong Convergence for Spatial Stochastic Kinetics

DOI10.1007/978-3-319-62627-7_5zbMath1401.92090OpenAlexW2763115452MaRDI QIDQ4555227

Stefan Engblom

Publication date: 19 November 2018

Published in: Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-62627-7_5

zbMATH Keywords

perturbationstochastic modelingwell-posednesscontinuous-time Markov chainrate equationmean square boundsnetwork jump processstochastic jump kinetics

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Systems biology, networks (92C42) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Uses Software

• URDME

Cites Work

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• Error analysis of tau-leap simulation methods
• SPDEs driven by Poisson random measure with non Lipschitz coefficients: existence results
• Theory of stochastic differential equations with jumps and applications.
• The Itô-Ventzell formula and forward stochastic differential equations driven by Poisson random measures
• Numerical methods for nonlinear stochastic differential equations with jumps
• Mesoscopic Modeling of Stochastic Reaction-Diffusion Kinetics in the Subdiffusive Regime
• Multilevel Monte Carlo for Continuous Time Markov Chains, with Applications in Biochemical Kinetics
• Towards automatic global error control: Computable weak error expansion for the tau-leap method
• Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
• Survey of the stability of linear finite difference equations
• Jump-Diffusion Approximation of Stochastic Reaction Dynamics: Error Bounds and Algorithms
• Strong Convergence for Split-Step Methods in Stochastic Jump Kinetics
• Analysis of Explicit Tau-Leaping Schemes for Simulating Chemically Reacting Systems
• Parallel in Time Simulation of Multiscale Stochastic Chemical Kinetics
• Simulation of Stochastic Reaction-Diffusion Processes on Unstructured Meshes
• Markov Chains
• Pathwise Error Bounds in Multiscale Variable Splitting Methods for Spatial Stochastic Kinetics
• Lévy Processes and Stochastic Calculus
• An Efficient Finite Difference Method for Parameter Sensitivities of Continuous Time Markov Chains
• Weak Error Analysis of Numerical Methods for Stochastic Models of Population Processes
• Parallelization, Processor Communication and Error Analysis in Lattice Kinetic Monte Carlo
• Moment growth bounds on continuous time Markov processes on non-negative integer lattices
• Sensitivity Estimation and Inverse Problems in Spatial Stochastic Models of Chemical Kinetics
• Handbook of stochastic methods for physics, chemistry and the natural sciences.