Spiral waves of cyclic AMP in a model of slime mold aggregation
type: Item
instance of: scholarly article
title: Spiral waves of cyclic AMP in a model of slime mold aggregation
zbMATH Open document ID: 0666.92011
DOI: 10.1016/0167-2789(89)90234-0
author: John J. Tyson
author: Kevin A. Alexander
author: Valipuram S. Manoranjan
author: J. D. Murray
published in: Physica D
publication date: 1989-01-01T00:00:00Z
review text: During the aggregation phase of their life cycle, Dictyostelium discoideum amoebae communicate with each other by traveling waves of cyclic AMP (cAMP). These waves often have the geometry of rotating spirals. We calculate the properties of these spiral waves, their rotation period, wavespeed, and shape, from a model of the synthesis and degradation of cAMP by Dictyostelium cells. Our model is based on kinetic rate laws developed by \textit{J. L. Martiel} and \textit{A. Goldbeter} [Biophys. J. 52, 807-828 (1987)] to account for oscillations and string relaying by Dictyostelium amoebae in well-stirred cell suspensions. We show that the model also describes in quantitative detail experimental observations of rotating spiral waves of cAMP in fields of amoebae distributed over an agar surface. Furthermore, our numerically calculated spiral waves agree quantitatively with the singular perturbation theory of rotating spirals developed by \textit{A. Keener} and the first author [see e.g. Physica D 21, 307-324 (1986; Zbl 0611.35041)].
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 92C05
zbMATH DE Number: 4091249
zbMATH Keywords: Dictyostelium discoideum amoebae
zbMATH Keywords: traveling waves of cyclic AMP
zbMATH Keywords: rotation period
zbMATH Keywords: wavespeed
zbMATH Keywords: shape
zbMATH Keywords: synthesis and degradation of cAMP
zbMATH Keywords: kinetic rate laws
zbMATH Keywords: oscillations
zbMATH Keywords: string relaying
zbMATH Keywords: rotating spiral waves of cAMP
MaRDI profile type: Publication
full work available at URL: 0167-2789(89)90234-0
OpenAlex ID: W2066651288
cites work: Diffusive Effects on Dispersion in Excitable Media
cites work: Waves in Excitable Media
cites work: A Geometrical Theory for Spiral Waves in Excitable Media
cites work: The dynamics of three-dimensional scroll waves in excitable media
cites work: Spiral waves in the Belousov-Zhabotinskii reaction
cites work: The Motion of Untwisted Untorted Scroll Waves in Belousov-Zhabotinsky Reagent
cites work: Rotating spiral waves in excitable media: the analytical results
cites work: Spiral waves in a model of myocardium
cites work: Singular perturbation theory of traveling waves in excitable media (A review)
cites work: Q3995253
description: scientific article; zbMATH DE number 4091249