ArticleBiophysical journal2009
Stochastic collective movement of cells and fingering morphology: no maverick cells.
Article in Biophysical journal, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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Who cites it
21 citing papers in PubMed.
- Clusters, fingers, and singles: A mechanical landscape of tumor invasion.PLoS computational biology · 2026Article
- Collective rotational motion of freely expanding T84 epithelial cell colonies.Journal of the Royal Society, Interface · 2023Article
- Combinatorial mathematical modelling approaches to interrogate rear retraction dynamics in 3D cell migration.PLoS computational biology · 2021Article
- Tracking collective cell motion by topological data analysis.PLoS computational biology · 2020Article
- Autocrine inhibition of cell motility can drive epithelial branching morphogenesis in the absence of growth.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2020Article
- Colloidal Silver Induces Cytoskeleton Reorganization and E-Cadherin Recruitment at Cell-Cell Contacts in HaCaT Cells.Pharmaceuticals (Basel, Switzerland) · 2019Article
- Physics of growing biological tissues: the complex cross-talk between cell activity, growth and resistance.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2019Review
- Article
- Fingering instabilities in tissue invasion: an active fluid model.Royal Society open science · 2018Article
- A modeling approach to study the effect of cell polarization on keratinocyte migration.PloS one · 2015Article
- Probabilistic Voxel-Fe model for single cell motility in 3D.In silico cell and tissue science · 2014Article
- A computational model for collective cellular motion in three dimensions: general framework and case study for cell pair dynamics.PloS one · 2013Article
- Collective cell motion in an epithelial sheet can be quantitatively described by a stochastic interacting particle model.PLoS computational biology · 2013Article
- Collective cell migration: leadership, invasion and segregation.Journal of the Royal Society, Interface · 2012Article
- Cell migration.Comprehensive Physiology · 2012Review
- Dual modes of motility at the leading edge of migrating epithelial cell sheets.Proceedings of the National Academy of Sciences of the United States of America · 2012Article
- Orientation and polarity in collectively migrating cell structures: statics and dynamics.Biophysical journal · 2011Article
- Continuum model of collective cell migration in wound healing and colony expansion.Biophysical journal · 2011Article
- Velocity fields in a collectively migrating epithelium.Biophysical journal · 2010Article
- Physical model of the dynamic instability in an expanding cell culture.Biophysical journal · 2010Article
Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The classical approach to model collective biological cell movement is through coupled nonlinear reaction-diffusion equations for biological cells and diffusive chemicals that interact with the biological cells. This approach takes into account the diffusion of cells, proliferation, death of cells, and chemotaxis. Whereas the classical approach has many advantages, it fails to consider many factors that affect multicell movement. In this work, a multiscale approach, the Glazier-Graner-Hogeweg model, is used. This model is implemented for biological cells coupled with the finite element method for a diffusive chemical. The Glazier-Graner-Hogeweg model takes the biological cell state as discrete and allows it to include cohesive forces between biological cells, deformation of cells, following the path of a single cell, and stochastic behavior of the cells. Where the continuity of the tissue at the epidermis is violated, biological cells regenerate skin to heal the wound. We assume that the cells secrete a diffusive chemical when they feel a wounded region and that the cells are attracted by the chemical they release (chemotaxis). Under certain parameters, the front encounters a fingering morphology, and two fronts progressing against each other are attracted and correlated. Cell flow exhibits interesting patterns, and a drift effect on the chemical may influence the cells' motion. The effects of a polarized substrate are also discussed.
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