| In my thesis, I present three different models for the wound healing in Necrotizing Enterocolitis and Diabetic Foot Ulcer. (I) NEC results after an injury to the mucosal lining of the intestine, leading to translocation of bacteria and endotoxin. Intestinal mucosal defects are repaired by the process of intestinal restitution, during which enterocytes migrate from healthy areas to sites of injury. To model the migration of enterocytes, first we formulate a one-dimensional mathematical model based on the assumption of elastic deformation of the cell layer. Then we extend the model into a two-dimension space and the resulting moving boundary problem is solved by using modified Finite Element Method. (II) Diabetic foot ulcers (DFU) are caused by both vascular and neurologic complications of diabetes, in combination with persistent opportunistic infections and deficient wound healing. We develop an Agent-based computational model to simulate its inflammation and the resolution of the inflammatory response in its wound healing process. |
