John Dallon: Paper Abstract

A Discrete Cell Model with Adaptive Signaling for Aggregation of Dictyostelium discoideum


AUTHORS:

John C. Dallon 1 & Hans G. Othmer 2

1: Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK.

2: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112


ABSTRACT:

Dictyostelium discoideum (Dd) is a widely studied model system from which fundamental insights into cell movement, chemotaxis, aggregation and pattern formation can be gained. In this system, aggregation results from the chemotactic response by dispersed amoeba to a traveling wave of the chemoattractant cAMP. We have developed a model in which the cells are treated as discrete points in a continuum field of the chemoattractant, and transduction of the extracellular , cAMP signal into the intracellular signal is based on the G protein model developed by Tang & Othmer (1994). The model reproduces a number of experimental observations and gives further insight into the aggregation process. We investigate different rules for cell movement, the factors that influence stream formation, the effect on aggregation of noise in the choice of the direction of movement, and when spiral waves of chemoattractant and cell density are likely to occur. Our results give new insight into the origin of spiral waves and suggest that streaming is due to a finite amplitude instability.


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