Albion College

Mathematics and Computer Science

Mathematics and Computer Science

COLLOQUIUM

Mathematical Models for treating Diabetes Mellitus

Jacqueline Chung, `13

Diabetes Mellitus is an autoimmune disease characterized by the depletion of the pancreatic $\beta$
cells responsible for the production of insulin in the human body. However, an early diagnosis of
diabetes will allow the individual to adopt therapies that in turn will help postpone certain serious
effects for later. Using ordinary differential equations, partial differential equations, and matrix
analysis mathematical models of glucose and insulin kinetics have been developed that deal with
different aspects of diabetes. In this presentation, I hope to further your understanding of a few
of them and the way these models help predict and determine the pathology of the disease suffered
by the individual.