Oxigenación de pulmones y sangre; Modelo matemático

• 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

Palabras clave: Pulmón, estudio cualitativo, modelo matemático, respiración

Resumen

En este artı́culo, se realiza un estudio general sobre los pulmones, sus caracterı́sticas, su función principal, que detalla algunos aspectos del proceso respiratorio. Se indican las principales enfermedades pulmonares y cómo prevenirlas. Se elabora un modelo mediante un sistema de ecuaciones diferenciales que simula el proceso de oxigenación de la sangre, se realiza un estudio cualitativo y se dan conclusiones sobre el funcionamiento en una persona sana; en el caso crı́tico de un valor propio cero y uno negativo, el sistema se reduce a la forma casi normal para facilitar el estudio cualitativo.

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