Persistent random walk of cells involving anomalous effects and random death.

  title={Persistent random walk of cells involving anomalous effects and random death.},
  author={Sergei P. Fedotov and Abby Tan and Andrey Yu. Zubarev},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={91 4},
The purpose of this paper is to implement a random death process into a persistent random walk model which produces sub-ballistic superdiffusion (Lévy walk). We develop a stochastic two-velocity jump model of cell motility for which the switching rate depends upon the time which the cell has spent moving in one direction. It is assumed that the switching rate is a decreasing function of residence (running) time. This assumption leads to the power law for the velocity switching time distribution… 

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