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.

Citas

Aguilar, B.; Libório, A.; Sánchez, S.; Ribeiro, Z.; Lacort, M.; Ferreira, R. and Ruiz, A. I.; Mathematical Modeling of an Ingerable Drug, IOSR Journal of Mathematics (IOSR-JM), 15 (2019), 75–80.

Aguilar, B.; Leão, L.; Sánchez, S.; Oliveira, K.; Lacort, M.; Ferreira, R.; E. Rodrigues, E. and A. I Ruiz, A. I.; Combined normal form in the model of an injectable drug’. Journal of multidisciplinary engineering science and technology (JMEST), 7, (2020), 11535–11540.

Aguilar, B.; Fernándes, N.; Oliveira, K.; Rodrigues, E.; Leão, L.; Libório, A.; S. Sánchez, S. and A. I. Ruiz, A. I.; Two critical cases of the model of an inhalable drug. IOSR Journal of mathematics (IOSR-JM). 16, (2020), 58–64.

Cabal, C.; Sánchez, S.; Rodrı́guez, D.; Rodrigues, E.; Ribeiro, Z.; Ferreira, R.; Guerra, A. and Ruiz, A. I.; Mathematical Modeling of Tissue regeneration in Diabetic Foot. IOSR Journal of mathematics, 15, (2019), 60–66.

Chaveco, A. I. R. and others. Modeling of Various Processes. Appris, Brazil, 2018.

Chaveco, A. I. R. and others. Applications of Differential Equations in Mathematical Modeling. CRV, Brazil, 2016.

Chaveco, A. I. R.; Sánchez, S.; Fernández, A. Mathematical modeling of the polymerization of hemoglobin S. Lap Lambert Academic Publishing, Deutschland, 2015.

Malek, E.; Etology and Treatment of Community Acquired Pneumonia in Children. J Pharm Belg, 62, (2007), 21–24.

R. H., Albert. Diagnosis and treatment of acute bronchitis. Am Fam Physician. 82 (2010), 1345–1350.

Repilado, J. A.; Ruiz, A. I. and Bernal, A.; Analysis and identification of a mathematical model of the transmission of infectious diseases. Cienc. Mat, 16, (1998), 65–69.

Rodrı́guez, D.; Lacort, M.; Ferreira, R.; Sánchez, S.; Rodrigues, E.; Ribeiro, Z. and Ruiz, A. I.; Model of the Dynamics Insulin-Glucose. International Journal of Innovative Research in Electronics and Communications. 5, (2018), 1–8.

Rodrı́guez, D.; Lacort, M.; Ferreira, R.; Sánchez, S.; Chagas, F.; Ribeiro, Z. and Ruiz, A. I.; Model of Dynamic Insulin-Glucose in Diabetic. European Journal of Engineering Research and Science. 4, (2019), 10–14.

Sánchez, S.; Fernández, A.; Ribeiro, Z.; Lacortt, M.; Do Nascimento, R.; A. I. Ruiz, A. I.; Model of Siklemia with Periodic Coefficients for a Combined Critical Case. International Journal of Innovative Science, Engineering and Technology. 5 (2018), 117–124.

Sánchez, S.; Fernández, A. and Ruiz, A. I.; M odel of Siklemia no autonomous with the coefficient periodic in general. Internacional Jurnal of Engineering and Applied Sciences. 5, (2014), 30–34.

Soto, E.; Fernándes, N.; Sánchez, S.; L. Leão, L.; Ribeiro, Z.; Ferreira, R. and Ruiz, A. I.; Models of Sexually Transmitted Diseases. European journal of engineering research and science. 4, (2019), 1–11.

Stocks, N.; Lower Respiratory Tract Infections and Community Acquired Pneumonia in Adults. Aust Fam Physician, 33, 2004, 297–301.

Xiao, K.; Analysis of the Severity and Prognosis Assessment of Aged Patients with Community - Acquired neumonia: A Retrospective Study. J Thorac Dis 5, (2013), 626–633.

Publicado
2020-12-27
Cómo citar
Sánchez Domı́nguezS., Menéndez Castillo, M., Ruiz Chaveco, A. I., Ferreira Do Nascimento, R., Oliveira, O., Leão, L. M., Souza, V., Lima Franca, P., Lacortt, M., & Andrade, F. (2020). Oxigenación de pulmones y sangre; Modelo matemático. Divulgaciones Matemáticas, 21(1-2), 47-53. Recuperado a partir de https://produccioncientificaluz.org/index.php/divulgaciones/article/view/36604
Sección
Artículos de Investigación

Artículos más leídos del mismo autor/a