Abstract

Reaction-diffusion systems with Turing instabilities have been used to represent several biological phenomena, which may involve growth of organs or tissues. This article studies the influence of growth rate and the spatial scale in the evolution of spatial scale in the evolution of spatial -temporal patterns generated in this kind of systems. A computational study using the finite element method is performed in order to solve a reaction -diffusion system with turing instabilities using a square domain which grows at different rates. it was found that variations in the parameters related to the system and in the growth rate change the shape, heterogeneity and evolution of the generated patterns. The results confirm the robustness of the reaction-diffusion systems, in the terms of the independence regarding the initial conditions, and suggest the existence of a limit growth rate above which heterogeneous spatial-temporal patterns are not generated.

Full document

The PDF file did not load properly or your web browser does not support viewing PDF files. Download directly to your device: Download PDF document
Back to Top
GET PDF

Document information

Published on 01/04/09
Accepted on 01/04/09
Submitted on 01/04/09

Volume 25, Issue 2, 2009
Licence: CC BY-NC-SA license

Document Score

0

Views 0
Recommendations 0

Share this document

claim authorship

Are you one of the authors of this document?