Mathematical Model for Wound Healing with Variable Death Rates of Macrophages and TGF-b Factor*

Abstract

Wound healing or healing of burn injuries are characterized by a chronic inflammation phase. The process of healing depends upon
oxygen transport towards the wound sites and consequently on the distribution of macrophages phenotypes. This healing process becomes more complicated in a diabetic case in comparison to a normal wound healing. In this investigation, we develop a mathematical model; the governing equations involved are examined by using stability theory for the purpose of predicting the balance of macrophages phenotypes in diabetic wound healing. The model discusses key factors responsible for wound healing in diabetic case. Numerical experiment has been done to predict the effect of the proportion of monocytes that becomes inflammatory macrophages at wound site due to chemical reactions.