  The purpose of this work is to propose a non-Markovian and nonlinear model of
subdiffusive transport that involves adhesion affects the cells escape rates
form position x, with chemotaxis. This leads the escape rates to be dependent
on the particles density at the neighbours as well as the chemotactic gradient.
We systematically derive subdiffusive fractional master equation, then we
consider the diffusive limit of the fractional master equation. We finally
solve the resulted fractional subdiffusive master equation stationery and
analyse the role of adhesion in the resulted stationary density.

Cell Behavior;Statistical Mechanics