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Singular perturbation analysis of cAMP signalling in Dictyostelium discoideum aggregates

López Velázquez, Juan José and Liţcanu, Gabriela (2006) Singular perturbation analysis of cAMP signalling in Dictyostelium discoideum aggregates. Journal of Mathematical Biology, 52 (5). 682-718 . ISSN 0303-6812

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Abstract

In this paper, we use singular perturbation methods to study the structure of travelling waves for some reaction-di®usion models obtained from the Martiel-Goldbeter and Goldbeter-Segel's models of cAMP signalling in Dictyostelium discoideum. As a consequence, we derive analytic formulae for quantities like wave speed, maximum concentration and other magnitudes in terms of the di®erent biochemical constants that appear in the model.

Item Type:Article
Uncontrolled Keywords:Singular perturbation methods; Travelling waves; Reaction-diffusion systems
Subjects:Sciences > Mathematics > Differential equations
ID Code:12699
Deposited On:10 May 2011 07:31
Last Modified:06 Feb 2014 09:30

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