Naslov
Parameter identification in the mathematical model of glucose and insulin tolerance test – the mathematical markers of diabetes

Autori
Heffer, Marija ; Ivić, Vedrana ; Scitovski, Rudolf

Izvornik
Croatian operational research review (1848-0225) 11 (2020), 1; 121-133

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
glucose tolerance test ; insulin tolerance test ; mathematical model ; parameter identification

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Temeljne medicinske znanosti

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