Stability analysis of glucose-insulin modelling in diabetes mellitus

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Rara Sandhy Winanda, Defri Ahmad, Dina Agustina, Devni Prima Sari, Trysa Gustia Manda, Media Rosha

2024 AIP Conference Proceedings Vol. 3024 Issue 1 Conference paper Cited by 0 Quartile

Abstract

This research focuses on a subcellular model of Diabetes Mellitus. The role of pancreatic beta cells, glucose, insulin, and growth hormone in establishing homeostasis is modeled mathematically. We accomplish the model's local stability through linearization near the steady states. We utilized numerical simulations to verify the validity of theorized outcomes. Computer simulations are used to assess the feasibility of the planned work. In addition, the behavior of the suggested mathematical model for various time values will be illustrated. © 2024 Author(s).

Affiliations

Department of Mathematics, Universitas Negeri Padang, Padang, Indonesia; Data Analytics, Mathematical Modelling, and Forecasting Research Group, Universitas Negeri Padang, Padang, Indonesia