The cellular slime mold Dictyostelium discoideum exhibits a variety of spatial patterns as it aggregates to form a multicellular slug. These patterns arise via the interaction of the aggregating amoebae, either via contact or as mediated by chemical signals involving cyclic adenosine monophosphate (AMP). We model this system as a set of reaction-diffusion equations coupled to dynamical biological entities (bions), each of which is endowed with signal receptors and response rules. Simulations of our model reveal a close correspondence with the observed structures. Also, the general framework we propose should be suitable for modeling other biological pattern-forming processes.

• Received 26 April 1993

DOI:https://doi.org/10.1103/PhysRevE.48.4801