Space-time fractional diffusion in cell movement models with delay
From MaRDI portal
Publication:4630568
DOI10.1142/S0218202519500039zbMath1411.92036arXiv1802.08675OpenAlexW3101061375WikidataQ128987533 ScholiaQ128987533MaRDI QIDQ4630568
Gissell Estrada-Rodriguez, Jakub Stocek, Heiko Gimperlein, Kevin J. Painter
Publication date: 27 March 2019
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.08675
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic systems (35K40) Fractional partial differential equations (35R11)
Related Items
Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities, Influence of non-local diffusion in avascular tumour growth, Nonzero positive solutions of fractional Laplacian systems with functional terms, Simulation of processes and structures in the synapse in the context of tetrahedral mesh quality, Fractional advection diffusion asymmetry equation, derivation, solution and application, Modelling fungal growth with fractional transport models, Unnamed Item, Metaplex Networks: Influence of the Exo-Endo Structure of Complex Systems on Diffusion, Individual based models exhibiting Lévy-flight type movement induced by intracellular noise, Asymptotic analysis of a tumor growth model with fractional operators, Space-time adaptive finite elements for nonlocal parabolic variational inequalities, Optimal operator preconditioning for pseudodifferential boundary problems, Interacting Particles with Lévy Strategies: Limits of Transport Equations for Swarm Robotic Systems, Derivation of a fractional cross-diffusion system as the limit of a stochastic many-particle system driven by Lévy noise
Uses Software
Cites Work
- Unnamed Item
- The fractional diffusion limit of a kinetic model with biochemical pathway
- Convolution quadrature and discretized operational calculus. I
- Convolution quadrature and discretized operational calculus. II
- Biased random walk models for chemotaxis and related diffusion approximations
- A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
- Space-time adaptive finite elements for nonlocal parabolic variational inequalities
- Transport equations for subdiffusion with nonlinear particle interaction
- Modeling complex living systems. A kinetic theory and stochastic game approach.
- About the kinetic description of fractional diffusion equations modeling chemotaxis
- The Mathematical Analysis of Biological Aggregation and Dispersal: Progress, Problems and Perspectives
- Random walk with persistence and external bias
- Time- and space-fractional partial differential equations
- The H-Function
- Mathematical modelling of turning delays in swarm robotics
- Fractional Patlak--Keller--Segel Equations for Chemotactic Superdiffusion
- Interacting Particles with Lévy Strategies: Limits of Transport Equations for Swarm Robotic Systems
- Handbook of stochastic methods for physics, chemistry and the natural sciences.