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Modeling the Wound healing in Necrotizing Enterocolitis and Diabetic Foot Ulcer

Mi, Qi (2008) Modeling the Wound healing in Necrotizing Enterocolitis and Diabetic Foot Ulcer. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

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.

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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Mi, Qiqim3@pitt.eduQIM3
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairRiviere, Beatriceriviere@math.pitt.edu
Committee CoChairSwigon, Davidswigon@pitt.eduSWIGON
Committee MemberErmentrout, Bardbard@euler.math.pitt.eduBARD
Committee MemberHackam, Daviddavid.hackam@chp.edu
Committee MemberIvan Yotov, Ivanyotov@euler.math.pitt.eduYOTOV
Committee MemberVodovotz, Yoramvodovotzy@upmc.eduVODOVOTZ
Date: 28 January 2008
Date Type: Completion
Defense Date: 30 August 2007
Approval Date: 28 January 2008
Submission Date: 1 November 2007
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Mathematics
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: ; diabetic foot ulcer; modelling; necrotizing enterocolitis; wound healing
Other ID: http://etd.library.pitt.edu/ETD/available/etd-11012007-140522/, etd-11012007-140522
Date Deposited: 10 Nov 2011 20:03
Last Modified: 19 Dec 2016 14:37
URI: http://d-scholarship.pitt.edu/id/eprint/9549

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