A Numerical Solution of a Model of Diabetes

Authors

Presenter(s)

Malle R. Schilling, Nathan D. Volk

Comments

This poster reflects research conducted as part of a course project designed to give students experience in the research process.

Files

Description

Many researchers use mathematical models to understand and predict the behavior of biological systems. In this work we consider a mathematical model for diabetes mellitus presented by Hussain and Zadeng to study a metabolic disease for the regulation of glucose in the body by pancreatic insulin. The mathematical models consists of two ordinary differential equations for glucose concentration and insulin concentration. In particular, this study attempts to numerically solve the model using the Runge-Kutta methods of order 2 and 4. We will also perform a qualitative analysis on the behavior of the system

Publication Date

4-9-2016

Project Designation

Course Project

Primary Advisor

Muhammad Usman

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project

Disciplines

Arts and Humanities | Business | Education | Engineering | Life Sciences | Medicine and Health Sciences | Physical Sciences and Mathematics | Social and Behavioral Sciences

Recommended Citation

"A Numerical Solution of a Model of Diabetes" (2016). Stander Symposium Projects. 679.
https://ecommons.udayton.edu/stander_posters/679