Abstract
The mound development of the cellular slime mold amoebae Dictyostelium discoideum is studied with an interface kinetic model for the height of cell layers. As a competitive role for the chemotaxis, we compare two types of curvature relaxations; the surface relaxation induced by cell-substrate affinity ( model A ), and that comes from a cell–cell adhesive effect ( model B ). It is found that both models are characterized by the growth law for the maximum mound height. Based on a self-similarity scaling hypothesis for the spatial structure of streaming pattern, we suggest a scaling law for the growth of mound-height h max ∼ t 1-1/α+β/α with α= 2 (4) for the model A (B) and a number 0 ≤β< 1.
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