论文标题
粘液模具的寻求食物行为:宏观方法
The food seeking behavior of slime mold: a macroscopic approach
论文作者
论文摘要
从粒子模型开始,我们得出了一个宏观聚集 - 扩散方程,以在较大粒子极限以混乱的假设下粘液模具的演变。我们分析了固定案例中宏观模型的特性,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允许对不同机制漂移,相互作用和扩散之间的相互作用进行详细分析。
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.