Sutrisno, Sutrisno (2026) Mathematical model for detecting diabetes in blood cells with the influence of cortisol. BAREKENG: Journal of Mathematics and Its Applications, 20 (2). pp. 1569-1582. ISSN 1978-7227
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Abstract
Diabetes is a disease that occurs when the body is unable to produce enough insulin or cannot effectively use the insulin it produces, resulting in an increase in blood glucose levels. One of the factors that affects the stability of glucose and insulin is the hormone cortisol, which is produced in response to stress. The purpose of this study is to develop a mathematical model of diabetes detection in blood cells by considering the influence of cortisol. The model is formulated as a system of linear differential equations and analyzed
through equilibrium points and eigenvalue analysis. The results show that two eigenvalues form asymptotically stable spirals, while the other two are asymptotically stable nodes, indicating system stability. The novelty of this study lies in the inclusion of cortisol, which delays stabilization of glucose–insulin dynamics and provides a more realistic representation of physiological conditions under stress. A limitation of this study is that the model relies on simplifying assumptions without clinical validation. This research is
expected to serve as a foundation for further model development by considering other regulatory factors, with implications for improving diabetes prevention and intervention strategies in stress-related conditions.
| Item Type: | Journal Article |
|---|---|
| Keywords: | Cortisol; Diabetes; Epinephrine; Glucose; Insulin; Mathematical model |
| Subjects: | 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010201 Approximation Theory and Asymptotic Methods |
| Divisions: | Faculty of Tarbiyah and Teaching Training > Department of Mathematics Education |
| Depositing User: | sutrisno sutrisno |
| Date Deposited: | 10 Jul 2026 15:42 |
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