Two Dimensional Mathematical Model of Angiogenesis in Wound Healing

Abstract

In the present work the two dimensional mathematical model of angiogenesis in wound healing was developed on the base of existing dimensional model. Our model considers the following quantities: capillary tip density, chemoattractant concentration and blood vessel density. The model is continuous and consists of three partial differential equations. The result of the numerical analysis was compared with the result of the analysis of 1D model and with experimental data. It was concluded, that our model, which allows taking into account the real shape of the wound, may serve as the improvement of the existing models and supply the needs of telemedicine systems.