On a deterministic mathematical model which efficiently predicts the protective effect of a plant extract mixture in cirrhotic rats
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Published:2023
Issue:1
Volume:21
Page:237-252
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ISSN:1551-0018
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Container-title:Mathematical Biosciences and Engineering
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language:
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Short-container-title:MBE
Author:
Ayala-Hernández Luis E.1, Rosales-Muñoz Gabriela2, Gallegos Armando1, Miranda-Beltrán María L.2, Macías-Díaz Jorge E.34
Affiliation:
1. Departamento de Ciencias Exactas y Tecnología, Universidad de Guadalajara, Enrique Díaz de León 1144, Paseos de La Montaña, Lagos de Moreno, 47463 Jalisco, Mexico 2. Departamento de Ciencias de la Tierra y de la Vida, Universidad de Guadalajara, Enrique Díaz de León 1144, Paseos de La Montaña, Lagos de Moreno, 47463 Jalisco, Mexico 3. Department of Mathematics and Didactics of Mathematics, Tallinn University, Narva Rd. 25, Tallinn, 10120 Harjumaa, Estonia 4. Departamento de Matemáticas y Física, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes, 20100 Aguascalientes, Mexico
Abstract
<abstract><p>In this work, we propose a mathematical model that describes liver evolution and concentrations of alanine aminotransferase and aspartate aminotransferase in a group of rats damaged with carbon tetrachloride. Carbon tetrachloride was employed to induce cirrhosis. A second groups damaged with carbon tetrachloride was exposed simultaneously a plant extract as hepatoprotective agent. The model reproduces the data obtained in the experiment reported in [Rev. Cub. Plant. Med. 22(1), 2017], and predicts that using the plants extract helps to get a better natural recovery after the treatment. Computer simulations show that the extract reduces the damage velocity but does not avoid it entirely. The present paper is the first report in the literature in which a mathematical model reliably predicts the protective effect of a plant extract mixture in rats with cirrhosis disease. The results reported in this manuscript could be used in the future to help in fighting cirrhotic conditions in humans, though more experimental and mathematical work is required in that case.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine
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