ArticleJournal of the Royal Society, Interface2012
Modelling cell motility and chemotaxis with evolving surface finite elements.
Article in Journal of the Royal Society, Interface, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 28 papers.
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Who cites it
28 citing papers in PubMed.
- A geometric-surface PDE model for cell-nucleus translocation through confinement.PLoS computational biology · 2026Article
- Modelling chemotaxis of branched cells in complex environments provides insights into immune cell navigation.PLoS computational biology · 2026Article
- Modeling and Validation of Oocyte Mechanical Behavior Using AFM Measurement and Multiphysics Simulation.Sensors (Basel, Switzerland) · 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
- The Influence of Nucleus Mechanics in Modelling Adhesion-independent Cell Migration in Structured and Confined Environments.Bulletin of mathematical biology · 2023Article
- Computational framework for single-cell spatiotemporal dynamics of optogenetic membrane recruitment.Cell reports methods · 2022Article
- Selection of established tumour cells through narrow diameter micropores enriches for elevated Ras/Raf/MEK/ERK MAPK signalling and enhanced tumour growth.Small GTPases · 2021Article
- Tools for computational analysis of moving boundary problems in cellular mechanobiology.Wiley interdisciplinary reviews. Systems biology and medicine · 2020Review
- Self-organized shape dynamics of active surfaces.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- 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
- Mathematical modelling of angiogenesis using continuous cell-based models.Biomechanics and modeling in mechanobiology · 2016Article
- Local modulation of chemoattractant concentrations by single cells: dissection using a bulk-surface computational model.Interface focus · 2016Article
- Progress and perspectives in signal transduction, actin dynamics, and movement at the cell and tissue level: lessons fromInterface focus · 2016Review
- Modelling of Yeast Mating Reveals Robustness Strategies for Cell-Cell Interactions.PLoS computational biology · 2016Article
- MEDYAN: Mechanochemical Simulations of Contraction and Polarity Alignment in Actomyosin Networks.PLoS computational biology · 2016Article
- 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.Journal of computational physics · 2016Article
- Spatiotemporal Dynamics of Insulitis in Human Type 1 Diabetes.Frontiers in physiology · 2016Article
- Parameter identification problems in the modelling of cell motility.Journal of mathematical biology · 2015Article
- A mechanism for cell motility by active polar gels.Journal of the Royal Society, Interface · 2015Article
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Authors and funding
3 authors.
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No grant is acknowledged in the PubMed record.
Abstract
We present a mathematical and a computational framework for the modelling of cell motility. The cell membrane is represented by an evolving surface, with the movement of the cell determined by the interaction of various forces that act normal to the surface. We consider external forces such as those that may arise owing to inhomogeneities in the medium and a pressure that constrains the enclosed volume, as well as internal forces that arise from the reaction of the cells' surface to stretching and bending. We also consider a protrusive force associated with a reaction-diffusion system (RDS) posed on the cell membrane, with cell polarization modelled by this surface RDS. The computational method is based on an evolving surface finite-element method. The general method can account for the large deformations that arise in cell motility and allows the simulation of cell migration in three dimensions. We illustrate applications of the proposed modelling framework and numerical method by reporting on numerical simulations of a model for eukaryotic chemotaxis and a model for the persistent movement of keratocytes in two and three space dimensions. Movies of the simulated cells can be obtained from http://homepages.warwick.ac.uk/∼maskae/CV_Warwick/Chemotaxis.html.
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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.