ArticleJournal of mathematical biology2021
Spots, stripes, and spiral waves in models for static and motile cells : GTPase patterns in cells.
Article in Journal of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed, 22 citations in OpenAlex.
- Diversity in emergent cell locomotion from the coupling cytosolic and cortical Marangoni flows with reaction-diffusion dynamics.PLoS computational biology · 2026Article
- Investigating local negative feedback of Rac activity by mathematical models and cell-motility simulations.iScience · 2026Article
- Rho of Plants patterning: linking mathematical models and molecular diversity.Journal of experimental botany · 2024Review
- Article
- Spatiotemporal Coordination of Rac1 and Cdc42 at the Whole Cell Level during Cell Ruffling.Cells · 2023Article
- Dynamic regulation of RAS and RAS signaling.The Biochemical journal · 2023Article
- Spatial models of pattern formation during phagocytosis.PLoS computational biology · 2022Article
- Nonmodular oscillator and switch based on RNA decay drive regeneration of multimodal gene expression.Nucleic acids research · 2022Article
- Modern perspectives on near-equilibrium analysis of Turing systems.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2021Review
- Spatiotemporal development of coexisting wave domains of Rho activity in the cell cortex.Scientific reports · 2021Article
- From the Matrix to the Nucleus and Back: Mechanobiology in the Light of Health, Pathologies, and Regeneration of Oral Periodontal Tissues.Biomolecules · 2021Review
- Article
- Membrane Tension Can Enhance Adaptation to Maintain Polarity of Migrating Cells.Biophysical journal · 2020Article
Corrections and comments
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Authors and funding
3 authors at 1 institution in 4 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The polarization and motility of eukaryotic cells depends on assembly and contraction of the actin cytoskeleton and its regulation by proteins called GTPases. The activity of GTPases causes assembly of filamentous actin (by GTPases Cdc42, Rac), resulting in protrusion of the cell edge. Mathematical models for GTPase dynamics address the spontaneous formation of patterns and nonuniform spatial distributions of such proteins in the cell. Here we revisit the wave-pinning model for GTPase-induced cell polarization, together with a number of extensions proposed in the literature. These include introduction of sources and sinks of active and inactive GTPase (by the group of A. Champneys), and negative feedback from F-actin to GTPase activity. We discuss these extensions singly and in combination, in 1D, and 2D static domains. We then show how the patterns that form (spots, waves, and spirals) interact with cell boundaries to create a variety of interesting and dynamic cell shapes and motion.
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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.