Mathematical investigation of diabetically impaired ultradian oscillations in the glucose-insulin regulation

Benoit Huard, Adam Bridgewater, Maia Angelova

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)
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Abstract

We study the effect of diabetic deficiencies on the production of an oscillatory ultradian regime using a deterministic nonlinear model which incorporates two physiological delays. It is shown that insulin resistance impairs the production of oscillations by dampening the ultradian cycles. Four strategies for restoring healthy regulation are explored. Through the introduction of an instantaneous glucose-dependent insulin response, explicit conditions for the existence of periodic solutions in the linearised model are formulated, significantly reducing the complexity of identifying an oscillatory regime. The model is thus shown to be suitable for representing the effect of diabetes on the oscillatory regulation and for investigating pathways to reinstating a physiological healthy regime.
Original languageEnglish
Pages (from-to)66-76
JournalJournal of Theoretical Biology
Volume418
Early online date24 Jan 2017
DOIs
Publication statusPublished - 7 Apr 2017

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