Multi-scale models of cell mobility
by Matthew Simpson
Abstract: A motility mechanism based on a simple exclusion process is considered to represent cell motility. Estimates of population-level transport coefficients from standard tracking data do not describe the population-level response of the system. The mismatch between the individual-level and population-level behaviour is resolved by averaging the individual-level mechanism in terms of an expected site occupancy. New insight into simple exclusion processes is obtained by representing the system as a series of interacting subpopulations.
This leads to a system of nonlinear advection-diffusion equations with interesting properties which explains why the transport coefficients from the tracking data did not match the population-level behaviour of the system with a single subpopulation.
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