Glucose-Insulin Control System Impacted By Time and Spatial Variations in Carbohydrate Intestinal Absorption: Analytical Solution and Analysis of Integro-Differential Model
Issued Date
2025-01-01
Resource Type
ISSN
22297359
Scopus ID
2-s2.0-105013811785
Journal Title
International Journal of Environmental Sciences
Volume
11
Issue
9S
Start Page
175
End Page
184
Rights Holder(s)
SCOPUS
Bibliographic Citation
International Journal of Environmental Sciences Vol.11 No.9S (2025) , 175-184
Suggested Citation
Suksamran J., Lenbury Y., Rattanakul C., Satiracoo P. Glucose-Insulin Control System Impacted By Time and Spatial Variations in Carbohydrate Intestinal Absorption: Analytical Solution and Analysis of Integro-Differential Model. International Journal of Environmental Sciences Vol.11 No.9S (2025) , 175-184. 184. doi:10.64252/39eqzw35 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/111872
Title
Glucose-Insulin Control System Impacted By Time and Spatial Variations in Carbohydrate Intestinal Absorption: Analytical Solution and Analysis of Integro-Differential Model
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Corresponding Author(s)
Other Contributor(s)
Abstract
Together with protein and fat, carbohydrates are among the macronutrients in the human diet, playing an important role in the anatomy. The process of breaking down carbohydrates into glucose begins in the digestive tract. Glucose is absorbed across the membrane of the small intestine and conveyed to the liver where they are either utilized, or distributed to the more remote parts of the human body. Sugar levels in the bloodstream then increase, triggering secretion of insulin which motivates the body’s cells to absorb glucose for energy. High carbohydrates consumption may contribute to obesity, cardiovascular diseases, and type 2 diabetes. However, it was reported that “the risk of developing type 2 diabetes is lowered as the amount of calories from carbohydrates is increased. Diet that are high in carbohydrates tend to increase the sensitivity of insulin.” Nowadays, some healthcare providers routinely recommend high carbohydrate diet to type 2 diabetics, whose risk of heart disease has been observed to lower. To investigate this paradoxical effects, we construct a 3 compartmental dynamical model of the glucose-insulin control system incorporating the carbohydrate absorption process, described by an exponential function so that the amount absorbed per unit of digested carbohydrate varies with space and time. We arrive at an integro-differential system model, which is analyzed for its stability. Its analytical solution obtained as a traveling wave solution, and the time series of glucose and insulin levels provide valuable insights into the impacts of starch content on the glucose-insulin control system for diabetics or healthy subjects.