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.

中文翻译：

---

粘液霉菌的觅食行为：宏观方法

从粒子模型开始，在大粒子范围内混沌传播的假设下，我们为粘液霉的演化导出了宏观的聚集扩散方程。我们分析了固定情况下宏观模型的特性，并研究了食物源之间的粘液霉菌的行为。聚集-扩散方程的有效数值模拟可以详细分析不同状态下的漂移，相互作用和扩散之间的相互作用。