Tracking bifurcating solutions of a model biological pattern generator. (English) Zbl 0719.92005
The authors propose a cell-chemotaxis model of pattern formation: cells multiply according to the logistic equation, diffuse, produce a chemoattractant and move in the direction of chemoattractant gradient. The chemoattractant diffuses and decays. The model is investigated with the finite-element package ENTWIFE and a great variety of patterns is found.
Reviewer: P.Kůrka (Praha)
MSC:
92C15 | Developmental biology, pattern formation |
65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |