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The food seeking behavior of slime mold: a macroscopic approach

1 Department of Mathematics, University of Mannheim, Mannheim 68159, Germany
2 School of Mathematical and Statistical Sciences, Arizona State University, Tempe AZ 85257-1804, USA

Special Issues: Stochastic Modeling and Statistical Inference in Biology

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.
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Keywords interacting particle system; aggregation-diffusion equation; numerical simulations; agent based model; stochastic differential equation

Citation: Simone Göttlich, Stephan Knapp, Dylan Weber. The food seeking behavior of slime mold: a macroscopic approach. Mathematical Biosciences and Engineering, 2020, 17(6): 6631-6658. doi: 10.3934/mbe.2020345

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