Chapter 8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology

• Main Author: Marciniak-Czochra, Anna (auth)
• Other Authors: Antoniouk, Alexandra V. (Editor), Melnik, Roderick V. N. (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Berlin/Boston De Gruyter 2012
• Subjects: Road vehicle manufacturing industry; Numerical analysis; Applied mathematics; Life sciences: general issues; Mathematical Method; Statistical Method; Modeling Method; Life Sciences Application
• Online Access: OAPEN Library: download the publication; OAPEN Library: description of the publication

In this paper we present mathematical approaches to understand a symmetry break and formation of spatially heterogenous structures during development. We focus on the models given by reaction-diffusion equations and approach the question of possible mechanisms of development of spatially heterogeneo...