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Title: Singular perturbation analysis for identification of dynamic behaviour and stability of a nonlinear model of long term progression of diabetes mellitus
Authors: Chontita Ratanakul
Yongwimon Lenbury
Jeerawan Suksamran
King Mongkut's University of Technology North Bangkok
Mahidol University
Centre of Excellence in Mathematics
Keywords: Decision Sciences;Mathematics;Medicine
Issue Date: 2-Nov-2020
Citation: WSEAS Transactions on Mathematics. Vol.19, (2020), 523-530
Abstract: © 2020 World Scientific and Engineering Academy and Society. All rights reserved. There have been numerous attempts to model the progression of Diabetes Mellitus, which is a disease suffered by those with eating disorders with prevalence in the aged population. Models in the past have not been very successful in discovering the future development of the symptoms in a long term prediction. This is due to the fact that the state variables under consideration change in drastically different time scales, and the models that do not take careful account of this are not able to provide sufficiently accurate forecast that can be of satisfactory assistance to physicians taking care of their patients. In this work, we use the singular perturbation method to analyse a model of insulin and glucose interaction, incorporating beta cell dynamics and the pancreatic reserve, proposed by De Gaetano et al. in 2008. Different dynamic behaviour will be identified and numerical simulations will be carried out in support of our theoretical predictions.
ISSN: 22242880
Appears in Collections:Scopus 2020

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