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

Huard, Benoit, Bridgewater, Adam and Angelova, Maia (2017) Mathematical investigation of diabetically impaired ultradian oscillations in the glucose-insulin regulation. Journal of Theoretical Biology, 418. pp. 66-76. ISSN 0022-5193

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Official URL: http://dx.doi.org/10.1016/j.jtbi.2017.01.039

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.

Item Type: Article
Uncontrolled Keywords: Diabetes; Impaired ultradian rhythms; Four healthy regulation strategies; Delay differential equations; Stability analysis
Subjects: C900 Others in Biological Sciences
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Benoit Huard
Date Deposited: 09 Feb 2017 11:58
Last Modified: 25 Jan 2018 23:13
URI: http://nrl.northumbria.ac.uk/id/eprint/29295

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