ArticleJournal of mathematical biology2005
Kinetic models for chemotaxis: hydrodynamic limits and spatio-temporal mechanisms.
Article in Journal of mathematical biology, 2005. 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.
- Using a probabilistic approach to derive a two-phase model of flow-induced cell migration.Biophysical journal · 2024Article
- Exploring Cell Migration Mechanisms in Cancer: From Wound Healing Assays to Cellular Automata Models.Cancers · 2023Article
- Swarm Hunting and Cluster Ejections in Chemically Communicating Active Mixtures.Scientific reports · 2020Article
- Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway.Journal of mathematical biology · 2016Article
- Traveling Pulses for a Two-Species Chemotaxis Model.PLoS computational biology · 2016Article
- Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review.Journal of mathematical biology · 2012Review
- Mathematical description of bacterial traveling pulses.PLoS computational biology · 2010Article
- Taxis equations for amoeboid cells.Journal of mathematical biology · 2007Article
- M5 mesoscopic and macroscopic models for mesenchymal motion.Journal of mathematical biology · 2006Article
- Derivation of hyperbolic models for chemosensitive movement.Journal of mathematical biology · 2005Article
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Authors and funding
2 authors.
Funding
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Abstract
We study kinetic models for chemotaxis, incorporating the ability of cells to assess temporal changes of the chemoattractant concentration as well as its spatial variations. For prescribed smooth chemoattractant density, the macroscopic limit is carried out rigorously. It leads to a drift equation with a chemotactic sensitivity depending on the time derivative of the chemoattractant density. As an application it is shown by numerical experiments that the new model can resolve the chemotactic wave paradox. For this purpose, the macroscopic equation is coupled to a simple activation-inhibition model for the chemoattractant which produces the chemoattractant waves typical for the slime mold Dictyostelium discoideum.
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