Singular perturbation analysis of cAMP signalling in Dictyostelium discoideum aggregates | Zendy

Gabriela Liţcanu | Zendy; Juan J. L. Velázquez | Zendy

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Singular perturbation analysis of cAMP signalling in Dictyostelium discoideum aggregates

Author(s) -

Gabriela Liţcanu,

Juan J. L. Velázquez

Publication year - 2006

Publication title -

journal of mathematical biology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.928

H-Index - 97

eISSN - 1432-1416

pISSN - 0303-6812

DOI - 10.1007/s00285-005-0370-2

Subject(s) - dictyostelium discoideum , traveling wave , perturbation (astronomy) , singular perturbation , signalling , reaction–diffusion system , mathematics , mathematical analysis , biological system , statistical physics , biology , physics , mathematical economics , quantum mechanics , genetics , gene

In this paper, we use singular perturbation methods to study the structure of travelling waves for some reaction-diffusion 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 different biochemical constants that appear in the model.

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