A stochastic model for wound healing

Three separate activities of wound healing have been identified: migration, proliferation and differentiation. In this paper we present a mathematical model for the activities of migration and proliferation in an invitro system. The motion of a cell is modelled by a two-dimensional Brownian motion in the “unwounded” media. To reflect the proliferative activity in the wound area, we shall impose growth dynamics on the cells which are position dependent. From the resulting motile-growth stochastic model, we are able to estimate the expected number of cells in the wound at time t. From this, the expected time of wound closure can be predicted.