ReviewJournal of mathematical biology2009
Mathematics of cell motility: have we got its number?
Review 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 77 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
77 citing papers in PubMed.
- Phase-field modeling of border cell cluster migration in Drosophila.PLoS computational biology · 2026Article
- Nonlinear Stability in a Free Boundary Model of Active Locomotion.Archive for rational mechanics and analysis · 2026Article
- Multiscale modelling shows how cell-ECM interactions impact ECM fibre alignment and cell detachment.PLoS computational biology · 2025Article
- Modelling the effect of cell motility on mixing and invasion in epithelial monolayers.Journal of biological physics · 2024Article
- Inferring local molecular dynamics from the global actin network structure: A case study of 2D synthetic branching actin networks.Journal of theoretical biology · 2023Article
- Effect of Porous Substrate Topographies on Cell Dynamics: A Computational Study.ACS biomaterials science & engineering · 2023Article
- Modeling cell protrusion predicts how myosin II and actin turnover affect adhesion-based signaling.Biophysical journal · 2022Article
- Collective motility and mechanical waves in cell clusters.The European physical journal. E, Soft matter · 2021Article
- Article
- Bioimage Analysis and Cell Motility.Patterns (New York, N.Y.) · 2021Review
- Stick-slip model for actin-driven cell protrusions, cell polarization, and crawling.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- Article
- Article
- A minimal computational model for three-dimensional cell migration.Journal of the Royal Society, Interface · 2019Article
- Human mesenchymal stem cell basal membrane bending on gratings is dependent on both grating width and curvature.Scientific reports · 2018Article
- Numerical investigation of the role of intercellular interactions on collective epithelial cell migration.Biomechanics and modeling in mechanobiology · 2018Article
- The Actin Cytoskeleton and Actin-Based Motility.Cold Spring Harbor perspectives in biology · 2018Review
- BioFlow: a non-invasive, image-based method to measure speed, pressure and forces inside living cells.Scientific reports · 2017Article
- Article
- Physical models of collective cell motility: from cell to tissue.Journal of physics D: Applied physics · 2017Article
17 more citing papers are in PubMed but not listed here.
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
1 author.
Funding
Abstract
Mathematical and computational modeling is rapidly becoming an essential research technique complementing traditional experimental biological methods. However, lack of standard modeling methods, difficulties of translating biological phenomena into mathematical language, and differences in biological and mathematical mentalities continue to hinder the scientific progress. Here we focus on one area-cell motility-characterized by an unusually high modeling activity, largely due to a vast amount of quantitative, biophysical data, 'modular' character of motility, and pioneering vision of the area's experimental leaders. In this review, after brief introduction to biology of cell movements, we discuss quantitative models of actin dynamics, protrusion, adhesion, contraction, and cell shape and movement that made an impact on the process of biological discovery. We also comment on modeling approaches and open questions.
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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.