Persistent exclusion processes: Inertia, drift, mixing, and correlation
Stephen Zhang, Aaron Chong, Barry D Hughes
PHYSICAL REVIEW E | AMER PHYSICAL SOC | Published : 2019
In many biological systems, motile agents exhibit random motion with short-term directional persistence, together with crowding effects arising from spatial exclusion. We formulate and study a class of lattice-based models for multiple walkers with motion persistence and spatial exclusion in one and two dimensions, and use a mean-field approximation to investigate relevant population-level partial differential equations in the continuum limit. We show that this model of a persistent exclusion process is in general well described by a nonlinear diffusion equation. With reference to results presented in the current literature, our results reveal that the nonlinearity arises from the combinatio..View full abstract
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Awarded by Australian Research Council
This research was supported by the Australian Research Council (DP140100339) and by Australian Mathematical Sciences Institute Vacation Research Scholarships. A.C. and B.D.H. thank Kerry Landman for helpful discussions.