Analisis dinamika model matematika deteksi diabetes pada sel darah dengan pengaruh kortisol (sertifikat hak cipta)

Juhari, Imam Sujarwo dkk (2025) Analisis dinamika model matematika deteksi diabetes pada sel darah dengan pengaruh kortisol (sertifikat hak cipta). 000925866.

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Abstract

Diabetes is a disease that occurs when the body is unable to produce enough insulin or cannot use insulin effectively, causing an increase in blood glucose. One of the factors that affect the stability of glucose and insulin is the hormone cortisol, which is produced when the body experiences stress. This study develops a mathematical model of diabetes detection in blood cells by considering the influence of cortisol hormone. The model is based on the interaction between four main variables in the body including glucose, insulin, epinephrine and cortisol that influence each other in regulating blood glucose levels. The addition of cortisol in the model is important because cortisol can increase glucose production and inhibit insulin performance, especially when the body experiences prolonged stress. This study uses the form of linear differential equations analyzed through the determination of equilibrium points using the eigenvalue approach. The results showed that two eigenvalues formed asymptotically stable spirals, while the other two were asymptotically stable nodes. So it can be concluded that the addition of cortisol has an effect on glucose regulation. This research is expected to be the basis for further model development by considering other factors that also play a role in the glucose regulation process.

Item Type:	Hak Cipta
Keywords:	Mathematical Model; Diabetes; Glucose; Insulin; Epinephrine; Cortisol
Subjects:	01 MATHEMATICAL SCIENCES > 0103 Numerical and Computational mathematics > 010302 Numerical Solution of Differential and Integral Equations 01 MATHEMATICAL SCIENCES > 0199 Other Mathematical Sciences
Divisions:	Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User:	Juhari Juhari
Date Deposited:	10 Jul 2025 12:57

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