Diabetes mellitus is a serious and widespread disease currently affecting 25.8 million people in the United States. Treatments including exercise, diet, hypoglycemic pills, and insulin often are not sufficient to mitigate the symptoms of the disease or prevent its progression over time. An artificial pancreas capable of continuously monitoring and adjusting blood glucose levels through closed-loop control, thus maintaining an optimal range of glucose levels at all times, will be an improved treatment for the disease. One of the largest hurdles in developing an artificial pancreas is the creation of an individualized algorithm capable of calculating insulin doses from blood glucose readings and controlling a pump to deliver the appropriate doses of insulin. As a step toward developing algorithms for an artificial pancreas, this thesis adapts a mathematical model proposed by Lombarte et al. to study the maintenance of glucose and insulin homeostasis in healthy and diabetic mice. Data was first gathered experimentally using intra-peritoneal glucose and insulin tolerance tests on the subject populations. Simulation was then performed using Arena™ software based on the mathematical model to create predictions and OPtQuest™ was incorporated estimate the set of rate constants (8 parameters) for various terms in the differential equations. The simulated data fit accurately to the observed data for both healthy and diabetic subjects, validating the use of the mathematical model for mice at different stages of diabetes. Examination of the rate constants may provide insights into which parameters are most affected by the progression of diabetes and thus how tightly a control algorithm needs to be calibrated to maintain proper control.
|Advisor:||Lee, Felix, Kwon, Guim|
|School:||Southern Illinois University at Edwardsville|
|Department:||Mechanical and Industrial Engineering|
|School Location:||United States -- Illinois|
|Source:||MAI 53/03M(E), Masters Abstracts International|
|Subjects:||Biomedical engineering, Industrial engineering, Systems science|
|Keywords:||Artificial pancreas, Control systems, Insulin therapy, Simulation|
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