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Mathematical investigation of diabetically impaired ultradian oscillations in the glucose-insulin regulation
journal contribution
posted on 2017-04-07, 00:00 authored by B Huard, A Bridgewater, Maia Angelova TurkedjievaMaia Angelova TurkedjievaWe 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.
History
Journal
Journal of theoretical biologyVolume
418Pagination
66 - 76Publisher
ElsevierLocation
Amsterdam, The NetherlandsPublisher DOI
ISSN
0022-5193eISSN
1095-8541Language
engPublication classification
C1 Refereed article in a scholarly journalCopyright notice
2017, ElsevierUsage metrics
Keywords
Delay differential equationsDiabetesFour healthy regulation strategiesImpaired ultradian rhythmsStability analysisScience & TechnologyLife Sciences & BiomedicineBiologyMathematical & Computational BiologyLife Sciences & Biomedicine - Other TopicsDEPENDENT DIABETES-MELLITUSSECRETORY OSCILLATIONSTIME-DELAYSYSTEMMODELSTABILITYCLEARANCETOLERANCEDYNAMICSInformation Systems
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