Determining glucose supply in blood using the incomplete I-function

Abstract

In this paper, we delve into the realm of mathematical modeling as a powerful theoretical tool to understand essential aspects of medical-biological phenomena. This study focuses on developing a mathematical model incorporating the incomplete I-function (IIF) and estimating glucose supply in the human bloodstream. The results of our investigations are far-reaching, revealing many exciting scenarios across the various parameters under investigation. These results are not only practical but can also play an essential role in the contexts of medical and biological fields.

Keywords

• Glucose tolerance test
• Incomplete gamma function
• Mellin–Barnes type integral