ArticleJournal of mathematical biology2009
Continuum model of cell adhesion and migration.
Article in Journal of mathematical biology, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 24 papers.
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Who cites it
24 citing papers in PubMed, 73 citations in OpenAlex.
- Diversity in emergent cell locomotion from the coupling cytosolic and cortical Marangoni flows with reaction-diffusion dynamics.PLoS computational biology · 2026Article
- Subcellular mechano-regulation of cell migration in confined extracellular microenvironment.Biophysics reviews · 2023Review
- Integrative experimental/computational approach establishes active cellular protrusion as the primary driving force of phagocytic spreading by immune cells.PLoS computational biology · 2022Article
- Nonlocal and local models for taxis in cell migration: a rigorous limit procedure.Journal of mathematical biology · 2020Article
- Simulation of Multispecies Desmoplastic Cancer Growth via a Fully Adaptive Non-linear Full Multigrid Algorithm.Frontiers in physiology · 2018Article
- A free-boundary model of a motile cell explains turning behavior.PLoS computational biology · 2017Article
- Model of vascular desmoplastic multispecies tumor growth.Journal of theoretical biology · 2017Article
- 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
- On a poroviscoelastic model for cell crawling.Journal of mathematical biology · 2015Article
- Effects of adhesion dynamics and substrate compliance on the shape and motility of crawling cells.PloS one · 2013Article
- Migrating oligodendrocyte progenitor cells swell prior to soma dislocation.Scientific reports · 2013Article
- Mathematical modeling of eukaryotic cell migration: insights beyond experiments.Annual review of cell and developmental biology · 2013Review
- Emergent complexity of the cytoskeleton: from single filaments to tissue.Advances in physics · 2013Review
- Continuum modeling and numerical simulation of cell motility.Journal of mathematical biology · 2012Article
- Excitable actin dynamics in lamellipodial protrusion and retraction.Biophysical journal · 2012Article
- A comparison of computational models for eukaryotic cell shape and motility.PLoS computational biology · 2012Review
- Robust organizational principles of protrusive biopolymer networks in migrating living cells.PloS one · 2011Article
- Cell-biomaterial mechanical interaction in the framework of tissue engineering: insights, computational modeling and perspectives.International journal of molecular sciences · 2011Review
- A POROELASTIC MODEL FOR CELL CRAWLING INCLUDING MECHANICAL COUPLING BETWEEN CYTOSKELETAL CONTRACTION AND ACTIN POLYMERIZATION.Journal of mechanics of materials and structures · 2011Article
- Model-supported data analysis: some biological principles and examples.Journal of mathematical biology · 2010Article
Corrections and comments
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Authors and funding
2 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The motility of cells crawling on a substratum has its origin in a thin cell organ called lamella. We present a 2-dimensional continuum model for the lamella dynamics of a slowly migrating cell, such as a human keratinocyte. The central components of the model are the dynamics of a viscous cytoskeleton capable to produce contractile and swelling stresses, and the formation of adhesive bonds in the plasma cell membrane between the lamella cytoskeleton and adhesion sites at the substratum. We will demonstrate that a simple mechanistic model, neglecting the complicated signaling pathways and regulation processes of a living cell, is able to capture the most prominent aspects of the lamella dynamics, such as quasi-periodic protrusions and retractions of the moving tip, retrograde flow of the cytoskeleton and the related accumulation of focal adhesion complexes in the leading edge of a migrating cell. The developed modeling framework consists of a nonlinearly coupled system of hyperbolic, parabolic and ordinary differential equations for the various molecular concentrations, two elliptic equations for cytoskeleton velocity and hydrodynamic pressure in a highly viscous two-phase flow, with appropriate boundary conditions including equalities and inequalities at the moving boundary. In order to analyse this hybrid continuum model by numerical simulations for different biophysical scenarios, we use suitable finite element and finite volume schemes on a fixed triangulation in combination with an adaptive level set method describing the free boundary dynamics.
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Registered trials
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.