Qualitative study of the metabolism of an ingested drug
Abstract
In the present paper, a qualitative study of a mathematical model for the elimination of a drug from the human body is carried out, particularly the case in which the fundamental matrix of the system has a null eigenvalue and another pair of pure imaginary eigenvalues, through examples the results obtained are verified. Additionally, a preliminary study of the metabolism of a drug in the body until its elimination, the effect it causes and its incidence
in Cuba is carried out.
References
[2] Aguilar, B. Leão, L. Sánchez, S. Oliveira, K. Lacort, M. Ferreira, R. Rodrigues, E. 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.
[3] Aguilar, B. Fernandes, N. Oliveira, K. Rodrigues, E. Leão, L. Libório, A. Sánchez, S. Ruiz, A. I. Two critical cases of the model of an inhalable drug, IOSR Journal of Mathematics (IOSR-JM), 16 (2020), 58–64.
[4] Campollo Rivas, O. Modelos matemáticos en medicina y biologı́a. Bases teóricas y fundamentos, Revista de Investigación Clı́nica, 46 (1994), 307–307.
[5] Dı́az, Mónica Méndez. Contreras, Alejandra E. Ruiz. Gómez, Berta Prieto. Romano, Antonio. Caynas, Seraid. Garcı́a, Oscar Prospéro. El cerebro y las drogas, sus mecanismos neurobiológicos, Salud mental, 33 (2010), 451–456.
[6] Feizabadi, Mitra Shojania. Volk, Christina. Hirschbeck, Sarah. A two-compartment model interacting with dynamic drugs, Applied Mathematics Letters, 22 (2009), 1205–1209.
[7] Gálvez Cabrera, Elisa. Bases legales de la actuación médica ante el uso de drogas ilı́citas en Cuba, Revista Cubana de Medicina General Integral, 21 (2005).
[8] Gómez, César Pereiro. BARRERA, ANA BERMEJO. DE ABAJO, BENITO LÓPEZ. Muerte por sobredosis: de la reacción aguda tras consumo de opiáceos a la muerte asociada al policonsumo, Adicciones, 17 (2005), 151–165.
[9] Khanday, M. A. Rafiq, Aasma. Nazir, Khalid. Mathematical models for drug diffusion through the compartments of blood and tissue medium, Alexandria Journal of Medicine, 53 (2017), 245–249.
[10] López, Miguel Andériz. Ecuaciones diferenciales en farmacocinética, Revista de la Academia de Ciencias Exactas, Fı́sicas, Quı́micas y Naturales de Zaragoza, 73 (2018), 59–95.
[11] Rodrı́guez Más, Dannisel. Bermudes Sosa, Juana Emilia. Sánchez Domı́nguez, Sandy. Ruiz Chaveco, Antonio Iván. Estudio cualitativo de un modelo matemático para la eliminación de una droga incorporada por vı́a intravenosa, COMPUMAT, (2019).
[12] Ruiz, A. I. Sánchez, S. Fernández, A. A. Mathematical modeling of the polymerization of hemoglobin S, Lap Lambert Academic Publishing, Deutschland, (2015).
[13] Ruiz, A. I., Sánchez, S., Leão, L. M., Andrade, F., Lacort, M., Ferreira, R., de Carvalho, E., Fernández, A. A. Da Costa, T. Applications of Differential Equations in Mathematical Modeling, CRV, Brazil, (2016).
[14] Ruiz, A. I., Fernández, A. A., Libório, A. M., Cabal, C., Batista, E., de Carvalho, E., Chagas, F., Leão, L. M., Lacortt, M., González, O. A., Castanẽda, P., Ferreira, R., Sánchez, S., Marinho, T. V., da Costa, T. and Ribeiro, Z. Modelagem matemática de problemas diversos, Appris, Brazil, (2018).
Copyright (c) 2022 Berónica Aguilar León, Adolfo Arsenio Fernández Garcı́a, Sandy Sánchez Domı́nguez, Antonio Iván Ruiz Chaveco
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