ArticleJournal of mathematical biology2007
Taxis equations for amoeboid cells.
Article in Journal of mathematical biology, 2007. 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.
- Multiscale phenomena and patterns in biological systems: special issue in honour of Hans Othmer.Journal of mathematical biology · 2020Article
- Modelling collective cell migration: neural crest as a model paradigm.Journal of mathematical biology · 2020Article
- Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway.Journal of mathematical biology · 2016Article
- Moment-flux models for bacterial chemotaxis in large signal gradients.Journal of mathematical biology · 2016Article
- Steering cell migration by alternating blebs and actin-rich protrusions.BMC biology · 2016Article
- A Model for Direction Sensing in Dictyostelium discoideum: Ras Activity and Symmetry Breaking Driven by a Gβγ-Mediated, Gα2-Ric8 -- Dependent Signal Transduction Network.PLoS computational biology · 2016Article
- From Birds to Bacteria: Generalised Velocity Jump Processes with Resting States.Bulletin of mathematical biology · 2015Article
- Stochastic analysis of reaction-diffusion processes.Bulletin of mathematical biology · 2014Article
- Article
- Mathematical description of bacterial traveling pulses.PLoS computational biology · 2010Article
- Waves and patterning in developmental biology: vertebrate segmentation and feather bud formation as case studies.The International journal of developmental biology · 2009Review
- The Intersection of Theory and Application in Elucidating Pattern Formation in Developmental Biology.Mathematical modelling of natural phenomena · 2009Article
- MULTISCALE MODELS OF TAXIS-DRIVEN PATTERNING IN BACTERIAL POPULATIONS.SIAM journal on applied mathematics · 2009Article
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Authors and funding
2 authors.
Funding
Abstract
The classical macroscopic chemotaxis equations have previously been derived from an individual-based description of the tactic response of cells that use a "run-and-tumble" strategy in response to environmental cues [17,18]. Here we derive macroscopic equations for the more complex type of behavioral response characteristic of crawling cells, which detect a signal, extract directional information from a scalar concentration field, and change their motile behavior accordingly. We present several models of increasing complexity for which the derivation of population-level equations is possible, and we show how experimentally measured statistics can be obtained from the transport equation formalism. We also show that amoeboid cells that do not adapt to constant signals can still aggregate in steady gradients, but not in response to periodic waves. This is in contrast to the case of cells that use a "run-and-tumble" strategy, where adaptation is essential.
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17273880What 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.