Department of Mathematics, University of Mannheim, Mannheim 68159, Germany.
School of Mathematical and Statistical Sciences, Arizona State University, Tempe AZ 85257-1804, USA.
Math Biosci Eng. 2020 Sep 28;17(6):6631-6658. doi: 10.3934/mbe.2020345.
Starting from a particle model we derive a macroscopic aggregation-diffusion equation for the evolution of slime mold under the assumption of propagation of chaos in the large particle limit. We analyze properties of the macroscopic model in the stationary case and study the behavior of the slime mold between food sources. The efficient numerical simulation of the aggregation-diffusion equation allows for a detailed analysis of the interplay between the different regimes drift, interaction and diffusion.
从粒子模型出发，我们在大粒子极限下混沌传播的假设下，推导出了变形虫在宏观水平上的聚集-扩散方程。我们分析了静态情况下宏观模型的性质，并研究了变形虫在食物源之间的行为。聚集-扩散方程的高效数值模拟允许对不同状态（漂移、相互作用和扩散）之间的相互作用进行详细分析。
