Date of Award
1-2025
Document Type
Thesis
Degree Name
Master of Science (MS)
College/School
College of Science and Mathematics
Department/Program
School of Computing
Thesis Sponsor/Dissertation Chair/Project Chair
Baojun Song
Committee Member
David Trubatch
Committee Member
Charles Du
Abstract
The rising prevalence of diabetes presents a pressing global health concern, necessitating effective control strategies. This study aims to construct a mathematical model to analyze the influence of diverse factors on blood sugar levels, with a focus on identifying optimal methods for maintaining healthy glucose levels. Employing ordinary differential equations (ODE), the model investigates variables including leptin resistance, fat mass, glucose, insulin resistance, beta cell mass, daily physical activity, and dietary intake. Utilizing parameter estimates from existing literature, the model’s framework is established, and simulation results elucidate the intricate interplay between lifestyle choices and blood glucose dynamics. Furthermore, the model evaluates the effectiveness of preventive interventions in blood sugar regulation and diabetes prevention. This research emphasizes the importance of adopting a holistic approach to diabetes prevention, encompassing regular exercise, balanced nutrition, and proactive management of risk factors.
File Format
Recommended Citation
Bhatt, Rushi P., "Quantitative Preventive Approaches to Diabetes: Mathematical Modeling and Analysis" (2025). Theses, Dissertations and Culminating Projects. 1462.
https://digitalcommons.montclair.edu/etd/1462
Included in
Endocrinology, Diabetes, and Metabolism Commons, Ordinary Differential Equations and Applied Dynamics Commons
