Numerical Preservation of Velocity Induced Invariant Regions for Reaction–Diffusion Systems on Evolving Surfaces
Open Access
- 1 June 2018
- journal article
- research article
- Published by Springer Nature in Journal of Scientific Computing
- Vol. 77 (2) , 971-1000
Abstract
No abstract availableKeywords
Funding Information
- Engineering and Physical Sciences Research Council (EP/J016780/1)
- Leverhulme Trust (RPG-2014-149)
- H2020 Marie Skłodowska-Curie Actions (642866)
- Engineering and Physical Sciences Research Council (EP/K032208/1)
This publication has 35 references indexed in Scilit:
- Modelling cell motility and chemotaxis with evolving surface finite elementsJournal of The Royal Society Interface, 2012
- 𝐿²-estimates for the evolving surface finite element methodMathematics of Computation, 2012
- A Modeling Study on How Cell Division Affects Properties of Epithelial Tissues Under Isotropic GrowthPLOS ONE, 2010
- A Reaction-Diffusion Model of Human Brain DevelopmentPLOS Computational Biology, 2010
- Turning a plant tissue into a living cell froth through isotropic growthProceedings of the National Academy of Sciences, 2009
- Finite elements on evolving surfacesIMA Journal of Numerical Analysis, 2007
- A moving grid finite element method applied to a model biological pattern generatorJournal of Computational Physics, 2003
- Dynamic consequences of prey refuges in a simple model system: more prey, fewer predators and enhanced stabilityEcological Modelling, 2003
- Variational Problems and Partial Differential Equations on Implicit SurfacesJournal of Computational Physics, 2001
- Simple chemical reaction systems with limit cycle behaviourJournal of Theoretical Biology, 1979