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Numerical approximation of nonhomogeneous boundary conditions on networks for a hyperbolic system of chemotaxis modeling the Physarum dynamics

机译:趋化性趋化性系统网络趋化性系统非均匀边界条件的数值近似

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摘要

Many studies have shown that Physarum polycephalum slime mold is able to find the shortest path in a maze. In this paper we study this behavior in a network, using a hyperbolic model of chemotaxis. Suitable transmission and boundary conditions at each node are considered to mimic the behavior of such an organism in the feeding process. Several numerical tests are presented for special network geometries to show the qualitative agreement between our model and the observed behavior of the mold.
机译:许多研究表明,Peailarum Polycephalum粘液模具能够在迷宫中找到最短的路径。在本文中,我们使用趋化性的趋化性模型研究网络中的这种行为。每个节点的合适的透射和边界条件被认为是模拟喂养过程中这种生物的行为。为特殊网络几何形状提出了几种数值测试,以显示我们的模型与模具的观察行为之间的定性协议。

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