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The food seeking behavior of slime mold: a macroscopic approach

  • Received: 30 May 2020 Accepted: 10 August 2020 Published: 28 September 2020
  • 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.

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

    Related Papers:

  • 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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