Abstract
A mathematical model based on minimal physiological assumptions for describing simultaneously multiple glucose measurements during modified oral glucose tolerance test is presented. Parameter identification was carried out using a population approach, which allowed precise characterisation of average glucose kinetic parameters in the studied cohort, as well as between-subject variability associated with glucose tolerance state and other covariates. The statistical and computational complexity added with the formulation of non-linear hierarchical population kinetic models is compensated by improved robustness, over the traditional two-stage approach, in selecting the most adequate model structure/order at the individual level and the most significant determinants of glucose kinetics at the population level.
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