A new application of fractional glucose-insulin model and numerical solutions

Öztürk Z., Bilgil H., Sorgun S.

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.