Technical Report: Modelling Multiple Cell Types with Partial Differential Equations

Abstract

Partial differential equations are a convenient way to describe reaction- advection-diffusion processes of signalling models. If only one cell type is present, and tissue dynamics can be neglected, the equations can be solved directly. However, in case of multiple cell types it is not always straight forward to integrate a continuous description of the tissue dynamics. Here, we discuss (delayed) differentiation of cells into different cell types and hypertrophic cell volume change upon differentiation.