2021/01/12 by Nadia Loy, Loy, Nadia, Thomas Hillen +3 · 1 citation
Computer Science · Mathematics · Biochemistry, Genetics and Molecular Biology · #Advanced Mathematical Modeling in Engineering #Mathematical Biology Tumor Growth #Cellular Mechanics and Interactions
paper · pdf · doi:10.48550/arxiv.2101.04647
Cells and organisms follow aligned structures in their environment, a process\nthat can generate persistent migration paths. Kinetic transport equations are a\npopular modelling tool for describing biological movements at the mesoscopic\nlevel, yet their formulations usually assume a constant turning rate. Here we\nrelax this simplification, extending to include a turning rate that varies\naccording to the anisotropy of a heterogeneous environment. We extend known\nmethods of parabolic and hyperbolic scaling and apply the results to cell\nmovement on micro-patterned domains. We show that inclusion of orientation\ndependence in the turning rate can lead to persistence of motion in an\notherwise fully symmetric environment, and generate enhanced diffusion in\nstructured domains.\n