Before revision: In this paper we consider a  velocity jump process with excluded-volume interactions in the context of cell chemotaxis, where  the size of each particle affects the motion . Starting with a system of N individual hard rod particles in one dimension, we derive a nonlinear kinetic model using two different approaches.
After revision: In this paper we consider a biased velocity jump process with excluded-volume interactions in the context of cell chemotaxis, where the size of each particle affects the motion . Starting with a system of N individual hard rod particles in one dimension, we derive a nonlinear kinetic model using two different approaches.