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PDFOpen Access (License Unspecified), Open Access
Thesis
A Type 1 diabetic model
Master of Science (M.S.), Drexel University
Sep 2001
DOI:
https://doi.org/10.17918/etd-53
Abstract
Diabetes mellitus is a chronic metabolic disease characterized by the uncoupling of bloodglucose levels and insulin secretion, causing abnormal glycemic excursions. Type 1diabetes is characterized by a complete insulin deficiency. Treatment consists ofattempting to match exogenous insulin delivery to the metabolic needs of the patientduring meals, exercise, and sleep. The objective is to minimize the frequency and severityof glycemic excursions and, more importantly, avoid hypoglycemic episodes. In this study, we present a model of glucose and insulin dynamics aimed atassisting in the management of type 1 diabetes. This nonlinear model is a system of fourdifferential equations that estimate glycemic changes in response to intravenous insulininfusion and glucose absorption from the gut. The model represents the integration of twoexisting models proposed earlier by Bergman et al. (1979) and Sherwin et al. (1974). Model parameter values were determined from data in the literature, andoptimized through performance analysis in simulation. The resulting model appears tocorrespond to physiological values (e.g., pharmakokinetic insulin half- life and basalinsulin requirements). In computer simulations, the model was capable of describing thetime course of glucose and insulin in blood during an oral glucose tolerance test.
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Details
- Title
- A Type 1 diabetic model
- Creators
- Brian Ray Hipszer - DU
- Contributors
- Moshe Kam (Advisor) - DUJeffrey Joseph (Advisor) - Drexel University (1970-)
- Awarding Institution
- Drexel University
- Degree Awarded
- Master of Science (M.S.)
- Publisher
- Drexel University; Philadelphia, Pennsylvania
- Resource Type
- Thesis
- Language
- English
- Academic Unit
- College of Engineering (1970-2026); Electrical (and Computer) Engineering [Historical]; Drexel University
- Other Identifier
- 53; 991014632599104721