PSA 307, Friday January 28th, 2005
Speaker: Clint Mason
Department of Mathematics and Statistics
Arizona State University
Title: The Glucose Effects Model, Accounting for Long-term Glucose
Dynamics in Diabetic Progressors
Abstract: The human metabolic system has been modelled quite accurately on the
short-time scale by Bergman's Minimal Model (Bergman, 1980). Attempts to
describe anomalies in human metabolism, specifically Type 2 diabetes, have
also been recently published (Topp, 2000). To date, no such long-term model has
been tested against actual data. Recent analyses on data from the local Pima
Indian population provide such a testing ground. In doing so, it is found
that the actual progression pattern to diabetes (on a scale of many
years), can be masked by the use of average glucose growth rates. The
Glucose Effects Model here proposed describes the movement of individuals from a
non-diabetic to a diabetic state more realistically from both statistical
and physiological perspectives.