
Model of Dynamic Insulin-Glucose in Diabetic
Author(s) -
Diego A. Rodríguez,
Mercedes Lacort,
Raquel Ferreira,
Santiago Díaz Sánchez,
F. Chagas,
Zilma Verçosa de Sá Ribeiro,
Ivan Ruiz
Publication year - 2019
Publication title -
european journal of engineering and technology research
Language(s) - English
Resource type - Journals
ISSN - 2736-576X
DOI - 10.24018/ejeng.2019.4.3.1150
Subject(s) - eigenvalues and eigenvectors , diabetes mellitus , insulin , work (physics) , medicine , matrix (chemical analysis) , endocrinology , physics , chemistry , thermodynamics , chromatography , quantum mechanics
In the present work a study of the dynamic insulin-glucose in a healthy person is made; the different types of diabetes are indicated as well as the symptoms that characterize each one of them. The model that simulates the insulin-glucose dynamics for a person with diabetes is presented, and for the critical case of a pair of pure imaginary eigenvalues of the matrix of the linear part of the system, the system is simplified, a qualitative study is done of the system of equations and conclusions are given on the future behavior of the disease.