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VOL. 64 | 2015 A note on a reaction-diffusion model describing the bone morphogen protein gradient in Drosophila embryonic patterning
Peter van Heijster, Tasso J. Kaper, Cynthia A. Bradham

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

In this article, we consider the Eldar model [3] from embryology in which a bone morphogenic protein, a short gastrulation protein, and their compound react and diffuse. We carry out a perturbation analysis in the limit of small diffusivity of the bone morphogenic protein. This analysis establishes conditions under which some elementary results of [3] are valid.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.35260
MathSciNet: MR3381205

Digital Object Identifier: 10.2969/aspm/06410209

Subjects:
Primary: 35K57, 92C15
Secondary: 35C20, 35Q92, 37N25

Rights: Copyright © 2015 Mathematical Society of Japan

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