Random Walks of a Cell With Correlated Speed and Persistence Influenced by the Extracellular Topography

Cell migration through extracellular matrices is critical to many physiological processes, such as tissue development, immunological response and cancer metastasis. Previous models including persistent random walk (PRW) Lévy only explain the migratory dynamics of some cell types in a homogeneous environment. Recently, it was discovered that intracellular actin flow can robustly ensure universal coupling between speed persistence for variety migrating vitro assays live tissues. However, effects correlation on macroscopic patterns complex environments are largely unknown. In this study, we developed Monte Carlo simulation investigate motility, search ability efficiency moving both porous environments. The simplified dimensionless particle, according PRW, walk, with linear speed-persistence (linear RWSP) nonlinear (nonlinear RWSP). coarse-grained analysis showed RWSP achieved largest motility When particle searches targets, improves (i.e. find more targets fixed time period), but sacrifices less per unit distance). Moreover, convex concave pores restrict motion, especially walk. Overall, our results demonstrate has potential enhance searching properties environments, could serve starting point detailed studies active particles biological, engineering social science fields.