Mathematical modeling of the unsteady state glucose and insulin concentrations in blood for normal subjects and diabetics
Department of Chemical Engineering and Chemistry
Master of Science
Kristol, David S.
Glucose tolerance tests--Mathematical models.
Blood--Analysis and chemistry.
A mathematical model of the blood-glucose regulatory system has been developed. This model describes an oral glucose tolerance test adequately and simulates the behavior of the real physiological system using computer techniques.
Regression of the rate constants involved have been effected by conforming the theoretical functions to the data from glucose tolerance test in nonobese normal subjects, obese normal subjects, nonobese mild diabetics, obese mild diabetics, nonobese moderate diabetics and obese moderate diabetics measured by continuous sampling after oral ingestion. Most of the data were conformed within the limits of experimental error. The result of optimal parameters lead to a criterion for separating normal subjects from mild diabetics and moderate diabetics.
The significance of the model conformation is discussed in view of the goals of modeling and the extension of knowledge of blood-glucose mechanism in the human body.
njit-etd1983-002 (68 pages ~ 2,725 KB pdf)
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Created June 2, 2003