Glucose-Insulin Dynamics: a grey-box analogy
Date
2019-08Author
Omwenga, Vincent
Madhumati, Vaishnav
Vinay, Chauhan
Krishnaswamy, Patnam
Srikanta, Sathyanarayan
Navakant, Bhat
Metadata
Show full item recordAbstract
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.
Collections
- SIMC 2019 [99]