Analysis of propagating pattern in a chemotaxis system |
| |
| Authors: | M R Myerscough J D Murray |
| |
| Institution: | (1) School of Mathematics and Statistics, University of Sydney, 2006, NSW, Australia;(2) Applied Mathematics FS-20, University of Washington, 98195 Seattle, WA, U.S.A. |
| |
| Abstract: | We consider a cell-chemotaxis model which can generate spatially heterogeneous patterns in cell density and chemoattractant.
A local perturbation about the uniform steady state propagates across the domain leaving behind a steady state pattern of
standing peaks and troughs. We investigate this patterning process analytically and obtain estimates for the pattern wavelength
and speed of spread. We compare the analytical results with numerical simulation of the full model systems. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
