MATHEMATICAL MODEL FOR DETECTING DIABETES IN BLOOD CELLS WITH THE INFLUENCE OF CORTISOL

  • Imam Sujarwo Department of Mathematics Education, Faculty of Islamic Education and Teacher Training, Universitas Islam Negeri Maulana Malik Ibrahim Malang, Indonesia https://orcid.org/0009-0007-6744-6030
  • Juhari Juhari Department of Mathematics, Faculty of Science and Technologi, Universitas Islam Negeri Maulana Malik Ibrahim Malang, Indonesia https://orcid.org/0000-0001-5668-7428
  • Adelia Irma Feby Ariyanti Department of Mathematics, Faculty of Science and Technologi, Universitas Islam Negeri Maulana Malik Ibrahim Malang, Indonesia https://orcid.org/0009-0002-3761-9475
  • Sutrisno Sutrisno Department of Mathematics Education, Faculty of Islamic Education and Teacher Training, Universitas Islam Negeri Maulana Malik Ibrahim Malang, Indonesia https://orcid.org/0009-0005-2426-4013
DOI: https://doi.org/10.30598/barekengvol20iss2pp1569–1582
Keywords: Cortisol, Diabetes, Epinephrine, Glucose, Insulin, Mathematical model

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.

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Published
2026-01-26
How to Cite
[1]
I. Sujarwo, J. Juhari, A. I. Feby Ariyanti, and S. Sutrisno, “MATHEMATICAL MODEL FOR DETECTING DIABETES IN BLOOD CELLS WITH THE INFLUENCE OF CORTISOL”, BAREKENG: J. Math. & App., vol. 20, no. 2, pp. 1569–1582, Jan. 2026.
Issue
Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application
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Articles

Copyright (c) 2026 Imam Sujarwo, Juhari Juhari, Adelia Irma Feby Ariyanti, Sutrisno Sutrisno

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