Glucose-Insulin Dynamics: a grey-box analogy
Date
2019-08
Authors
Omwenga, Vincent
Madhumati, Vaishnav
Vinay, Chauhan
Krishnaswamy, Patnam
Srikanta, Sathyanarayan
Navakant, Bhat
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
Regulating 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.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Glucose-Insulin dynamics, Plasma glucose levels, Stochastic differential equation, Bergman minimal model, Grey-box model