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Updated: Aug 11, 2026

Assessment of Dictyostelium discoideum Response to Acute Mechanical Stimulation
Published on: November 9, 2017
Singular perturbation analysis of cAMP signalling in Dictyostelium discoideum aggregates
Gabriela Liţcanu1, Juan J L Velázquez
1Institute of Mathematics O. Mayer, Romanian Academy, Iaşi, Romania. gabrielal@academic.is.edu.ro
Abstract:
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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