Presenter(s)
Malle R. Schilling, Nathan D. Volk
Files
Download Project (365 KB)
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
Included in
Arts and Humanities Commons, Business Commons, Education Commons, Engineering Commons, Life Sciences Commons, Medicine and Health Sciences Commons, Physical Sciences and Mathematics Commons, Social and Behavioral Sciences Commons
Comments
This poster reflects research conducted as part of a course project designed to give students experience in the research process.