Original scientific paper
https://doi.org/10.17535/crorr.2020.0010
Parameter identification in the mathematical model of glucose and insulin tolerance test - the mathematical markers of diabetes
Marija Heffer
; Faculty of Medicine, J. J. Strossmayer University of Osijek, Osijek, Croatia
Vedrana Ivić
orcid.org/0000-0002-8185-1960
; Faculty of Medicine, J. J. Strossmayer University of Osijek, Osijek, Croatia
Rudolf Scitovski
orcid.org/0000-0002-7386-5991
; Department of Mathematics, J. J. Strossmayer University of Osijek, Osijek, Croatia
Abstract
Glucose tolerance test (GTT) is standard diagnostic procedure that tests the efficiency of blood glucose-lowering hormones (insulin, incretins, leptin). Contrary, insulin tolerance test (ITT) is probing efficiency of blood glucose-rising hormones (glucagon, thyroxine, growth hormone, glucocorticoids, adrenalin, noradrenalin). These two hormone systems together maintain blood glucose levels in a narrow range. Various pathophysiological mechanisms give rise to a reversible condition - prediabetes which then progresses to an irreversible chronic disease - diabetes, both marked with deviation of blood glucose levels outside the set range. In diagnostic purpose, the patient is given glucose load, and blood glucose is measured right before and 2 hours after load. Measurements are more frequent after insulin injection (ITT) or if both tests are performed on experimental animals. In this paper we analyse the mathematical model for GTT and ITT. The obtained model function is an useful tool in describing the dynamics of blood glucose changes.
Keywords
glucose tolerance test; insulin tolerance test; mathematical model; parameter identification
Hrčak ID:
240688
URI
Publication date:
7.7.2020.
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