Mathematical Modeling of the Chagasic Trypanosomiasis
In this paper, we show an extended model that describes the dynamic interaction between the immune response of a mammal and Trypanosoma cruzi parasite during the acute phase of a Chagas Disease. The model considers the immune and cellular response, plus the different stages (intrac...
| Main Authors: | , |
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| Format: | Online |
| Language: | spa |
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Universidad Pedagógica y Tecnológica de Colombia
2019
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| Online Access: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/9524 |
| _version_ | 1801706345364193280 |
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| author | Vega, Shirlene Patricia Sibona, Gustavo Javier |
| author_facet | Vega, Shirlene Patricia Sibona, Gustavo Javier |
| author_sort | Vega, Shirlene Patricia |
| collection | OJS |
| description | In this paper, we show an extended model that describes the dynamic interaction between the immune response of a mammal and Trypanosoma cruzi parasite during the acute phase of a Chagas Disease. The model considers the immune and cellular response, plus the different stages (intracellular and extracellular) of T. cruzi inside of a mammal host. The analysis of the time evolution of populations is made obtaining phase diagrams to determine the stability of the steady states in terms of its parameters. The system gives two steady states, which are associated with the Healing and Chronic state of the disease. The dead case obtained before when only the humoral immune response is considered it gets disappeared. The fundamental implication of this result is the benefit that the cellular immune response produces for the host as for the parasite since it allows to extend the life of the host while extending the critical state of the disease without destroying the habitat of the parasite. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-9524 |
| institution | Revista Ciencia en Desarrollo |
| language | spa |
| publishDate | 2019 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-95242020-11-11T02:06:35Z Mathematical Modeling of the Chagasic Trypanosomiasis Modelado Matemático de la Triponosomiasis Chagásica Vega, Shirlene Patricia Sibona, Gustavo Javier Enfermedad de Chagas, Modelo Matemático, Respuesta Inmune, Tripanosoma cruzi Chagas Disease, Mathematical Model, Immune Response, Trypanosoma cruzi español In this paper, we show an extended model that describes the dynamic interaction between the immune response of a mammal and Trypanosoma cruzi parasite during the acute phase of a Chagas Disease. The model considers the immune and cellular response, plus the different stages (intracellular and extracellular) of T. cruzi inside of a mammal host. The analysis of the time evolution of populations is made obtaining phase diagrams to determine the stability of the steady states in terms of its parameters. The system gives two steady states, which are associated with the Healing and Chronic state of the disease. The dead case obtained before when only the humoral immune response is considered it gets disappeared. The fundamental implication of this result is the benefit that the cellular immune response produces for the host as for the parasite since it allows to extend the life of the host while extending the critical state of the disease without destroying the habitat of the parasite. En este trabajo se presenta la extensión de un modelo que describe la interacción dinámica entre la respuesta inmune de un mamífero y el parásito Trypanosoma cruzi durante la fase aguda de la enfermedad de Chagas.El modelo considera las respuestas inmunes celular y humoral, más los diferentes estados (intracelular y extracelular) del T. cruzi dentro de un anfitrión mamífero. Se analizan la evolución temporal de las poblaciones, obteniendo diagramas de fase para determinar la estabilidad de los estados estacionarios en términos de sus parámetros. El sistema arroja dos estados estacionarios, los cuales se asocian con los estados de Curación y Cronicidad. El caso de muerte, obtenido cuando solo se considera la respuesta humoral, desaparece. La implicación fundamental de este resultado es el beneficio que produce la respuesta inmunecelular tanto para el anfitrión como para el parásito, puesto que permite extender la vida del anfitrión, alargando a la vez el estado crónico de la enfermedad sin destruir el habitat del parásito. Universidad Pedagógica y Tecnológica de Colombia 2019-07-23 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/9524 10.19053/01217488.v10.n2.2019.9524 Ciencia En Desarrollo; Vol. 10 No. 2 (2019): Vol 10, Núm. 2 (2019): Julio - Diciembre; 177-184 Ciencia en Desarrollo; Vol. 10 Núm. 2 (2019): Vol 10, Núm. 2 (2019): Julio - Diciembre; 177-184 2462-7658 0121-7488 spa https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/9524/8654 |
| spellingShingle | Enfermedad de Chagas, Modelo Matemático, Respuesta Inmune, Tripanosoma cruzi Chagas Disease, Mathematical Model, Immune Response, Trypanosoma cruzi español Vega, Shirlene Patricia Sibona, Gustavo Javier Mathematical Modeling of the Chagasic Trypanosomiasis |
| title | Mathematical Modeling of the Chagasic Trypanosomiasis |
| title_alt | Modelado Matemático de la Triponosomiasis Chagásica |
| title_full | Mathematical Modeling of the Chagasic Trypanosomiasis |
| title_fullStr | Mathematical Modeling of the Chagasic Trypanosomiasis |
| title_full_unstemmed | Mathematical Modeling of the Chagasic Trypanosomiasis |
| title_short | Mathematical Modeling of the Chagasic Trypanosomiasis |
| title_sort | mathematical modeling of the chagasic trypanosomiasis |
| topic | Enfermedad de Chagas, Modelo Matemático, Respuesta Inmune, Tripanosoma cruzi Chagas Disease, Mathematical Model, Immune Response, Trypanosoma cruzi español |
| topic_facet | Enfermedad de Chagas, Modelo Matemático, Respuesta Inmune, Tripanosoma cruzi Chagas Disease, Mathematical Model, Immune Response, Trypanosoma cruzi español |
| url | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/9524 |
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