Integro-differential equation models and numerical methods for cell motility and alignment

Integro-differential equations have been used in a number of areas of cell biology, like cells cycles, cell growth, cell motility. This article is a short review of some of the models which have been used in the literature to model cell motility and cell orientation and alignment with the emphasis on integro-differential equation models. It presents several such models in the form of ordinary or partial integro-differential equations, together with some information about the numerical methods used in the original papers. It also describes a numerical method which was used in this paper for obtaining some computational results for an alignment model.