Numerical investigations of the bulk-surface wave pinning model
DOI10.1016/J.MBS.2022.108925zbMath1504.35580arXiv2210.13972OpenAlexW4307814007MaRDI QIDQ2103609
Anotida Madzvamuse, Davide Cusseddu
Publication date: 9 December 2022
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.13972
pattern formationcell polarisationbulk-surface finite elementbulk-surface reaction-diffusion systemwave pinning
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications of PDEs on manifolds (58J90) Cell biology (92C37) Computational methods for problems pertaining to biology (92-08) Software, source code, etc. for problems pertaining to biology (92-04) Software, source code, etc. for problems pertaining to numerical analysis (65-04) PDEs on manifolds (35R01) Pattern formations in context of PDEs (35B36) Mathematical modeling or simulation for problems pertaining to biology (92-10)
Uses Software
Cites Work
- Singular perturbation theory of traveling waves in excitable media (A review)
- Bulk-surface virtual element method for systems of PDEs in two-space dimensions
- Traveling and standing fronts on curved surfaces
- A coupled bulk-surface model for cell polarisation
- Front blocking and propagation in cylinders with varying cross section
- A Computational Model of Cell Polarization and Motility Coupling Mechanics and Biochemistry
- Global Existence of Solutions to Reaction-Diffusion Systems with Mass Transport Type Boundary Conditions
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
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