A new application of fractional glucose-insulin model and numerical solutions
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES, cilt.42, sa.3, ss.1-12, 2024 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 42 Sayı: 3
- Basım Tarihi: 2024
- Doi Numarası: 10.14744/sigma.2023.00022
- Dergi Adı: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Academic Search Premier, Directory of Open Access Journals
- Sayfa Sayıları: ss.1-12
- Kayseri Üniversitesi Adresli: Evet
Özet
Along with the developing technology, obesity and diabetes are increasing rapidly among people. The
identification of diabetes diseases, modeling, predicting their behavior, conducting simulations, studying control and
treatment methods using mathematical methods has become of great importance. In this paper, we have obtained
numerical solutions by considering the glucose-insulin fractional model. This model consists of three compartments:
the blood glucose concentration (𝐺), the blood insulin concentration (𝐼) and the ready-to-absorb glucose concentration
(𝐷) in the small intestine. The fractional derivative is used in the sense of Caputo. By performing mathematical
analyzes for the Glucose-Insulin fractional mathematical model, numerical results were obtained with the help of the
Euler method and graphs were drawn.