In the widely studied slime mould Dictyostelium discoideum, starvation initiates a complex process of aggregation and cell differentiation. Several features are typically exhibited during the aggregation stage, when cells are chemotactically sensitive to cAMP, including streams of cells aggregating towards a center forming either target patterns or spiral waves of moving cells. In this talk I will describe a model which treats the cells as discrete entities in a continuum background of cAMP. Using this model, different conditions resulting in spiral wave formation and target pattern are explored.
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