Date of Award
5-2025
Document Type
Thesis
Degree Name
Bachelor of Science
Department
Mathematics
First Advisor
Dr. Lester Caudill
Abstract
Glucose is a fundamental energy source for cellular function, and its regulation is critical for maintaining metabolic stability in the human body. Glucose homeostasis is governed by a network of biochemical processes involving multiple organ systems that coordinate glucose production, storage, and uptake. Disruptions in this regulation contribute to metabolic disorders such as diabetes mellitus, underscoring the need for mathematical models that provide a mechanistic understanding of systemic glucose dynamics. Herein, we report a multi-time scale discrete-time dynamical systems model using compartmental difference equations to describe glucose concentrations across key physiological compartments. By quantitatively modeling glucose transport and metabolism, this work offers insights into the stability and control of glucose homeostasis under normal and pathological conditions. Such models are essential for advancing our understanding of metabolic regulation, predicting disease progression, and informing the development of targeted therapeutic strategies.
Recommended Citation
Watts, Andrew M., "A Multi-Scale Compartmental Model for Glucose Regulation and Diabetes Treatment" (2025). Honors Theses. 1871.
https://scholarship.richmond.edu/honors-theses/1871
