Biology – Quantitative Biology – Cell Behavior
Scientific paper
2006-01-29
Biology
Quantitative Biology
Cell Behavior
35 pages, submitted to the Journal of Mathematical Biology
Scientific paper
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. 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.
Erban Radek
Othmer Hans G.
No associations
LandOfFree
Taxis Equations for Amoeboid Cells does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Taxis Equations for Amoeboid Cells, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Taxis Equations for Amoeboid Cells will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-533744