A coherent wave model for pattern generation during the aggregation of slime mould amoeba

摘要: In this paper we examine the finite difference equation describing acrasin concentration as used by Parnas and Segel [11] in a computer simulation of aggregation slime mould amoeba. We consider corresponding differential two spatial dimensions rather than single dimension [11]. solve along spiral curve to within quadrature for low concentrations (in keeping with conditions) extract an analytical form traveling wave. For “quantized” relationship between period wave refractory amoeba show creation process curve.