Proportional-integral control in the evaluation of glucose homeostasis and Type 2 Diabetes

Mathematical modelling of blood sugar dynamics has been explored since the early 1960s. For most of these models, measurements of hormones such as insulin and glucagon are required to find parameter values that yield plausible glucose behaviour. These hormone measurements require repeated blood tests and limit the feasibility of applying the model to “real world” medical applications such as disease diagnosis. We apply a proportional-integral control model to human glucose homeostasis. The model can be fit using glucose data obtained exclusively from a continuous glucose monitor, and measurements of hormone concentrations do not need to be taken. The resulting parameters from model tuning can be used as an evaluation of the effectiveness of an individual’s blood glucose homeostasis and as a biomarker of diabetic status. This research has the potential to be a diagnostic or intervention tool in type 2 diabetes and may aid in the early prediction of prediabetes.

Name thesis:degree_name

Master of Science (MSc)

Discipline thesis:degree_discipline

Modelling and Computational Science

Grantor dc:publisher

University of Ontario Institute of Technology

Year dc:date.issued

2022

Author dc:creator

• Kaufman, Jaycee

Advisor dc:contributor.advisor

• van Veen, Lennaert

• Glucose homeostasis
• Diabetes
• Proportional-integral control
• Math modelling

Language dc:language.iso

en

Handle dc:identifier.uri

https://hdl.handle.net/10155/1480

OAI identifier oai:identifier

oai:ontariotechu.scholaris.ca:10155/1480