title: Mathematical model for contact inhibited cell division.
abstract: We present a mathematical model for cell growth, which takes into account cell-cell interactions and leads to non-exponential inhibited growth of number of cells. The resulting difference equation is solved and extended to a differential equation which turns out to be of a non-linear diffusion type.
mesh_terms: D002450:Cell Communication; D002455:Cell Division; D002478:Cells, Cultured; D003260:Contact Inhibition; D008954:Models, Biological