Differential equations for modeling pathways leading to diabetes onset

Authors

Viktoria Savatorova, Central Connecticut State UniversityFollow
Aleksei Talonov, University of Nevada Las VegasFollow

Publication Date

5-17-2024

Keywords

modeling diabetes, pathways to diabetes onset, ordinary differential equations, stability analyses, bifurcations, parameter sensitivity

Disciplines

Mathematics | Physical Sciences and Mathematics | Science and Mathematics Education

Abstract

This paper presents a mathematical model that explains potential pathways leading to diabetes onset. By utilizing a system of nonlinear differential equations to describe the dynamics of the glucose regulatory system, the model can serve as a pedagogical tool for teaching and learning differential equations, dynamical systems, mathematical modeling, and introduction to biomathematics. Within this framework, students can analyze equilibrium solutions, investigate stability, assess parameter sensitivity, and explore the potential for bifurcations. Theoretical analysis is complemented by illustrative numerical examples. Instructors have the flexibility to adapt and incorporate suggested activities according to their teaching preferences and objectives.

Recommended Citation

Savatorova, Viktoria and Talonov, Aleksei (2024) "Differential equations for modeling pathways leading to diabetes onset," CODEE Journal: Vol. 18, Article 1.
Available at: https://scholarship.claremont.edu/codee/vol18/iss1/1