Mathematical Beta Cell Model for Insulin Secretion following IVGTT and OGTT

Henrik Madsen, Jan Erik Henriksen, Mats Karlsson, Katarina Jelic, Rune Viig Overgaard

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    Evaluation of beta cell function is conducted by a variety of glucose tolerance tests and evaluated by a number of different models with less than perfect consistency among results obtained from different tests. We formulated a new approximation of the distributed threshold model for insulin secretion in order to approach a model for quantifying beta cell function, not only for one, but for several different experiments. Data was obtained from 40 subjects that had both an oral glucose tolerance test (OGTT) and an intravenous tolerance test (IVGTT) performed. Parameter estimates from the two experimental protocols demonstrate similarity, reproducibility, and indications of prognostic relevance. Useful first phase indexes comprise the steady state amount of ready releasable insulin A and the rate of redistribution k , where both yield a considerable correlation (both r=0.67) between IVGTT and OGTT estimates. For the IVGTT, A correlates well ( r=0.96) with the 10 min area under the curve of insulin above baseline, whereas k represents a new and possibly more fundamental first phase index. For the useful second phase index , a correlation of 0.75 was found between IVGTT and OGTT estimates.
    Original languageEnglish
    JournalAnnals of Biomedical Engineering
    Volume34
    Issue number8
    Pages (from-to)1343-1354
    ISSN0090-6964
    Publication statusPublished - 2006

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