Mesoscopic Modeling of Stochastic Reaction-Diffusion Kinetics in the Subdiffusive Regime

DOI10.1137/15M1013110zbMath1381.35086DBLPjournals/mmas/BlancEHL16arXiv1503.07009OpenAlexW3123331042WikidataQ42378282 ScholiaQ42378282MaRDI QIDQ2806422

Emilie Blanc, Stefan Engblom, Andreas Hellander, Per Loetstedt

Publication date: 18 May 2016

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07009

zbMATH Keywords

fractional derivativecontinuous-time random walksubdiffusionanomalous kineticsmultistate reaction-diffusion system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Diffusion processes (60J60) Cell biology (92C37) Fractional partial differential equations (35R11)

Related Items (5)

Multiscale Simulation of Stochastic Reaction-Diffusion Networks ⋮ Stability and Strong Convergence for Spatial Stochastic Kinetics ⋮ Fractional Euler Limits and their Applications ⋮ Multiscale modeling of diffusion in a crowded environment ⋮ Bimolecular reactive transport in a two-dimensional velocity field in disordered media

Uses Software

• SolvOpt
• BioNetGen
• URDME
• PySB
• STEPS
• MesoRD

Cites Work

• The role of dimerisation and nuclear transport in the Hes1 gene regulatory network
• From stochastic processes to numerical methods: a new scheme for solving reaction subdiffusion fractional partial differential equations
• Efficient solution of a wave equation with fractional-order dissipative terms
• Exponential stabilization of Volterra integral equations with singular kernels
• An implementation of Shor's \(r\)-algorithm
• Random Walks on Lattices. II
• The G and H Functions as Symmetrical Fourier Kernels
• Simulation of Stochastic Reaction-Diffusion Processes on Unstructured Meshes
• Diffusive representation of pseudo-differential time-operators
• Well-Posedness and Stabilizability of a Viscoelastic Equation in Energy Space
• Modeling Subdiffusion Using Reaction Diffusion Systems
• Solutions of ordinary differential equations as limits of pure jump markov processes
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Mesoscopic Modeling of Stochastic Reaction-Diffusion Kinetics in the Subdiffusive Regime