A note on a reaction-diffusion model describing the bone morphogen protein gradient in Drosophila embryonic patterning

van Heijster, Peter, Kaper, Tisso J., & Bradham, C.A. (2015) A note on a reaction-diffusion model describing the bone morphogen protein gradient in Drosophila embryonic patterning. In Kawashima, Shuichi, Ei, Shin-Ichiro, Kimura, Masato, & Mizumachi, Tetsu (Eds.) Proceedings of the 4th MSJ-SI Conference on Nonlinear Dynamics in Partial Differential Equations [Advanced Studies in Pure Mathematics], Mathematical Society of Japan / American Mathematical Society, Japan, pp. 209-220.

View at publisher

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.

Impact and interest:

Search Google Scholar™

Citation counts are sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

ID Code: 55960
Item Type: Conference Paper
Refereed: Yes
Additional URLs:
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2012 Mathematical Society of Japan
Deposited On: 21 Dec 2012 01:06
Last Modified: 27 Jul 2015 03:37

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page