Publication: Modelos de respuesta inmune a la Leishmaniasis
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2020-07-10
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Abstract
El propósito de este trabajo de fin de grado es el estudio de modelos de evolución de la Leishmaniasis, una enfermedad provocada por el parásito Leishmania. Afecta tanto a personas, siendo las más afectadas aquellas de los países menos desarrollados, como a los animales. Este trabajo se centra en el estudio de ésta en los animales.
Por ello, se realiza un modelo matemático mediante ecuaciones diferenciales para las distintas fases de la enfermedad, un modelo para la enfermedad a partir del tercer día de infección y otro modelo para los primeros tres días. Dentro de estos modelos, se distingue entre modelos para los macrófagos, los parásitos, las células dendríticas, las células T y las citocinas.
Una vez estudiados los modelos matemáticos, se simulara la evolución de los parásitos de Leishmania a lo largo del transcurso de la enfermedad validando los modelos con estudios previos realizados “in vitro”.
Por último, se prueban distintos tratamientos con el mismo medicamento para comprobar su eficacia y se concluye cuál de ellos es más eficaz para la curación de la enfermedad.
Se ha añadido al final del trabajo un anexo con definiciones biológicas que ayudan a la comprensión del desarrollo del trabajo, así como el código realizado en Matlab para todas las simulaciones expuestas.
The aim of this end-of-degree project is to study the evolution models of Leishmaniasis, a disease caused by the Leishmania parasite. It affects both humans, with those living in less developed countries being the most affected, and animals. This project focuses on the study of the disease on animals. Therefore, a mathematical model is created using differential equations for the various stages of the disease as well as a model for the disease from the third day of infection and another one for the first three days. Within these models, a distinction is made between those for macrophages, parasites, dendritic cells, T cells and cytokines. Once the mathematical models have been studied, there is a simulation of the Leishmania parasites throughout the course of the disease. The models will be validated with previous studies that were carried out in vitro. Lastly, different treatments using the same medicine are tested in order to verify their efficacy and the most effective treatment in curing the disease is determined.The Annex at the end of the project contains biological definitions that help understand the comprehend the project as well as the code written in Matlab for all the presented simulations.
The aim of this end-of-degree project is to study the evolution models of Leishmaniasis, a disease caused by the Leishmania parasite. It affects both humans, with those living in less developed countries being the most affected, and animals. This project focuses on the study of the disease on animals. Therefore, a mathematical model is created using differential equations for the various stages of the disease as well as a model for the disease from the third day of infection and another one for the first three days. Within these models, a distinction is made between those for macrophages, parasites, dendritic cells, T cells and cytokines. Once the mathematical models have been studied, there is a simulation of the Leishmania parasites throughout the course of the disease. The models will be validated with previous studies that were carried out in vitro. Lastly, different treatments using the same medicine are tested in order to verify their efficacy and the most effective treatment in curing the disease is determined.The Annex at the end of the project contains biological definitions that help understand the comprehend the project as well as the code written in Matlab for all the presented simulations.
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