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This content will become publicly available on April 30, 2026

Title: On a Reaction-Diffusion-Advection Glucose Metabolism Model
A reaction-diffusion-advection glucose metabolism model is proposed to describe the spatiotemporal behaviors of glucose in the pancreatic islet. The global existence and boundedness of the solution to the model are proved, and the existence and uniqueness of the positive steady state are established. Spatiotemporal sensitivity index and correlation index are proposed to identify high-impact physiological factors and illustrate parameter interdependency. Additionally, different stages of glucose metabolism such as hyperinsulinemia, hypoglycemia, euglycemia, and diabetes are simulated to demonstrate the system’s dynamics under varying physiological conditions. These findings provide valuable guidance in the therapeutic process, aiding in the development of effective interventions.  more » « less
Award ID(s):
2207343
PAR ID:
10599671
Author(s) / Creator(s):
;
Publisher / Repository:
Society for Industrial and Applied Mathematics
Date Published:
Journal Name:
SIAM Journal on Applied Mathematics
Volume:
85
Issue:
2
ISSN:
0036-1399
Page Range / eLocation ID:
711 to 729
Subject(s) / Keyword(s):
glucose metabolism model reaction-diffusion-advection equation spatial heterogeneity steady state spatiotemporal sensitivity and correlation
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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