Mathematical Model of the Effect of Growth Hormone In Glucose Homeostasis

Abstract

Homeostasis is a state in the body of a living being that maintains the concentration of substances in the body. One of the substances in the body that is important to maintain is glucose. Glucose is the main source of energy for body work, which comes from the food consumed by the body. Glucose homeostasis is a condition that maintains or maintains the glucose concentration in the living body to remain stable / constant. This study aims to form a mathematical model that can describe the influence of growth hormone on glucose homeostasis. The model obtained is in the form of a system of differential equations consisting of six equations and three fixed points. The analysis results show that the pathological fixed point (P0) and the physiological fixed point (P1) is stable, while the pre-diabetic fixed point / physiological to pathological (P2) is unstable.