Optimal control of diabetes

Al Helal, Zahra Hassan A

242458_Al Helal Z 2016.pdf (519.1Kb)

Access Status

Open access

Authors

Al Helal, Zahra Hassan A

Date

2016

Supervisor

Assoc. Prof. Ryan Loxton

Assoc. Prof. Volker Rehbock

Type

Thesis

Award

PhD

Metadata

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School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/2107

Collection

Curtin Theses

Abstract

This thesis considers optimal control problems related to one of the major global health problems, Diabetes. We adopt a comprehensive dynamic model of the blood glucose regulatory system and show how it can be readily fitted to individuals. Based on this, we develop a composite dynamic model for simulating the effects of exercise and subcutaneous insulin injections on the blood glucose regulatory system. We then determine that optimal treatment regimens on the basis of the composite model.