Glucose-Insulin Dynamics: a grey-box analogy

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dc.contributor.authorOmwenga, Vincent
dc.contributor.authorMadhumati, Vaishnav
dc.contributor.authorVinay, Chauhan
dc.contributor.authorKrishnaswamy, Patnam
dc.contributor.authorSrikanta, Sathyanarayan
dc.contributor.authorNavakant, Bhat
dc.date.accessioned2021-05-12T11:25:05Z
dc.date.available2021-05-12T11:25:05Z
dc.date.issued2019-08
dc.descriptionPaper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenyaen_US
dc.description.abstractRegulating plasma glucose levels for both type I and type Il diabetic patients is a challenging task. Understanding the effects of meals taken, the physical exercises and stress levels will contribute significantly to the overall management of the plasma glucose levels. This paper provides an extension of the Bergman Minimal model to represent twelve-compartmental models associated with meals taken, physical exercises and stress levels interactions within a semi-closed loop system using Stochastic Differential Equations (SDE). The mathematical modelling is constructed following the Grey-box model analogy as applied on an identifiable patient. Obtained results from the study demonstrates the predictive capability of the model to be good and its sensitivity is enhanced with increased dataset.en_US
dc.description.sponsorshipFaculty of Information Technology, Strathmore University, Nairobi, Kenya. Samatvam Endocrinology Diabetes Centre, Bangalore, Indian. Center for Nano Science and Engineering, Indian Institute of Science, India.en_US
dc.identifier.urihttp://hdl.handle.net/11071/11859
dc.language.isoen_USen_US
dc.publisherStrathmore Universityen_US
dc.subjectGlucose-Insulin dynamicsen_US
dc.subjectPlasma glucose levelsen_US
dc.subjectStochastic differential equationen_US
dc.subjectBergman minimal modelen_US
dc.subjectGrey-box modelen_US
dc.titleGlucose-Insulin Dynamics: a grey-box analogyen_US
dc.typeArticleen_US
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