ArticleJournal of computational physics2016
A computational method for the coupled solution of reaction-diffusion equations on evolving domains and manifolds: Application to a model of cell migration and chemotaxis.
Article in Journal of computational physics, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- A geometric-surface PDE model for cell-nucleus translocation through confinement.PLoS computational biology · 2026Article
- Diversity in emergent cell locomotion from the coupling cytosolic and cortical Marangoni flows with reaction-diffusion dynamics.PLoS computational biology · 2026Article
- A FINITE ELEMENT FRAMEWORK FOR BULK-SURFACE COUPLED PDES TO SOLVE MOVING BOUNDARY PROBLEMS IN BIOPHYSICS.bioRxiv : the preprint server for biology · 2025Article
- Multiscale Modelling, Analysis and Simulation of Cancer Invasion Mediated by Bound and Soluble Enzymes.Bulletin of mathematical biology · 2025Article
- Three-component contour dynamics model to simulate and analyze amoeboid cell motility in two dimensions.PloS one · 2024Article
- Modified Characteristic Finite Element Method with Second-Order Spatial Accuracy for Solving Convection-Dominated Problem on Surfaces.Entropy (Basel, Switzerland) · 2023Article
- Concentration-Dependent Domain Evolution in Reaction-Diffusion Systems.Bulletin of mathematical biology · 2023Article
- An Adaptive Moving Mesh Method for Forced Curve Shortening Flow.SIAM journal on scientific computing : a publication of the Society for Industrial and Applied Mathematics · 2019Article
- A free-boundary model of a motile cell explains turning behavior.PLoS computational biology · 2017Article
- Local modulation of chemoattractant concentrations by single cells: dissection using a bulk-surface computational model.Interface focus · 2016Article
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Authors and funding
4 authors.
Funding
Abstract
In this paper, we devise a moving mesh finite element method for the approximate solution of coupled bulk-surface reaction-diffusion equations on an evolving two dimensional domain. Fundamental to the success of the method is the robust generation of bulk and surface meshes. For this purpose, we use a novel moving mesh partial differential equation (MMPDE) approach. The developed method is applied to model problems with known analytical solutions; these experiments indicate second-order spatial and temporal accuracy. Coupled bulk-surface problems occur frequently in many areas; in particular, in the modelling of eukaryotic cell migration and chemotaxis. We apply the method to a model of the two-way interaction of a migrating cell in a chemotactic field, where the bulk region corresponds to the extracellular region and the surface to the cell membrane.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.