ArticleJournal of mathematical biology2020
Kinetic models with non-local sensing determining cell polarization and speed according to independent cues.
Article in Journal of mathematical biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Modelling non-local cell-cell adhesion: a multiscale approach.Journal of mathematical biology · 2024Article
- Modelling microtube driven invasion of glioma.Journal of mathematical biology · 2023Article
- The Migration and the Fate of Dental Pulp Stem Cells.Biology · 2023Review
- Multi-Cue Kinetic Model with Non-Local Sensing for Cell Migration on a Fiber Network with Chemotaxis.Bulletin of mathematical biology · 2022Article
- Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment.Journal of mathematical biology · 2021Article
- Nonlocal and local models for taxis in cell migration: a rigorous limit procedure.Journal of mathematical biology · 2020Article
- Multi-scale analysis and modelling of collective migration in biological systems.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2020Article
- Mathematical models for cell migration: a non-local perspective.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2020Review
- Modelling physical limits of migration by a kinetic model with non-local sensing.Journal of mathematical biology · 2020Article
- The Impact of Elastic Deformations of the Extracellular Matrix on Cell Migration.Bulletin of mathematical biology · 2020Article
Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Cells move by run and tumble, a kind of dynamics in which the cell alternates runs over straight lines and re-orientations. This erratic motion may be influenced by external factors, like chemicals, nutrients, the extra-cellular matrix, in the sense that the cell measures the external field and elaborates the signal eventually adapting its dynamics. We propose a kinetic transport equation implementing a velocity-jump process in which the transition probability takes into account a double bias, which acts, respectively, on the choice of the direction of motion and of the speed. The double bias depends on two different non-local sensing cues coming from the external environment. We analyze how the size of the cell and the way of sensing the environment with respect to the variation of the external fields affect the cell population dynamics by recovering an appropriate macroscopic limit and directly integrating the kinetic transport equation. A comparison between the solutions of the transport equation and of the proper macroscopic limit is also performed.
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31375892What OpenQuestion holds
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.