Chalmers Conferences, 9th European Conference on Mathematical and Theoretical Biology

A Mathematical Model for Lymphangiogenesis in Wound Healing
Arianna Bianchi

Last modified: 2014-03-31


Few attempts have been made to mathematically model the lymphatic system, and those mostly concern its mechanical behaviour. Here we present a model whose aim is to describe the dynamics of lymphangiogenesis (i.e. the formation of lymphatic capillaries) after wound healing.

The model consists of five ordinary differential equations, which describe the concentrations of active TFG-beta and VEGF and the densities of macrophages, lymphatic endothelial cells and capillaries. Simulations are run in order to picture the time-course of these quantities in both normal and diabetic case. Finally, we include a representation of a treatment in the diabetic case to see how this affects the model.


wound healing; lymphangiogenesis; diabetes