Lungs and blood oxygenation; Mathematical modeling

• Sandy Sánchez Domı́nguez Faculty of Natural and Exact Sciences, University of Oriente.
• Maikel Menéndez Castillo Faculty of Natural and Exact Sciences, University of Oriente
• Antonio Iván Ruiz Chaveco University of the State of Amazonas
• Rainey Ferreira Do Nascimento University of the State of Amazonas
• Oliveira Oliveira University of the State of Amazonas
• Leide Maria Leão Federal University of Amazonas
• Vandresa Souza Federal University of Rı́o Grande do Norte
• Paola Lima Franca Federal University of Juiz de Fora
• Mariano Lacortt Federal Institute of Rı́o Grande do Sul
• Fabiana Andrade Federal University of Rı́o de Janeiro

Keywords: Lung, qualitative study, mathematical model, breathing

Abstract

In this article, a general study is made about the lungs, their characteristics, their main function, detailing some aspects of the respiratory process; the main pulmonary diseases are indicated and how to prevent them. A model is made by means of a system of differential equations that simulates the blood oxygenation process, a qualitative study is made, and conclusions are given regarding the functioning in a healthy person; in the critical case of a
zero and a negative eigenvalue, the system is reduced to the quasi-normal form to facilitate qualitative study.

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