A mathematical model for cellular immunology of tuberculosis
Tuberculosis (TB) is a global emergency. The World Health Organization reports about 9.2 million new infections each year, with an average of 1.7 million people killed by the disease. The causative agent is Mycobacterium tuberculosis (Mtb), whose main target are the macrophages, important immune sys...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.973 |
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| author | Eduardo Ibarguen-Mondragon Lourdes Esteva Leslie Chávez-Galán |
| author_facet | Eduardo Ibarguen-Mondragon Lourdes Esteva Leslie Chávez-Galán |
| author_sort | Eduardo Ibarguen-Mondragon |
| collection | DOAJ |
| description | Tuberculosis (TB) is a global emergency. The World Health Organization reports about 9.2 million new infections each year, with an average of 1.7 million people killed by the disease. The causative agent is Mycobacterium tuberculosis (Mtb), whose main target are the macrophages, important immune system cells. Macrophages and T cell populations are the main responsible for fighting the pathogen. A better understanding of the interaction between Mtb, macrophages and T cells will contribute to the design of strategies to control TB. The purpose of this study is to evaluate the impact of the response of T cells and macrophages in the control of Mtb. To this end, we propose a system of ordinary differential equations to model the interaction among non-infected macrophages, infected macrophages, T cells and Mtb bacilli. Model analysis reveals the existence of two equilibrium states, infection-free equilibrium and the endemically infected equilibrium which can represent a state of latent or active infection, depending on the amount of bacteria. |
| format | Article |
| id | doaj-art-e19faeddf50f426f950fbbf0a166463a |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-e19faeddf50f426f950fbbf0a166463a2025-01-24T02:02:16ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-07-018497398610.3934/mbe.2011.8.973A mathematical model for cellular immunology of tuberculosisEduardo Ibarguen-Mondragon0Lourdes Esteva1Leslie Chávez-Galán2Departamento de Matemáticas y Estadística,, Universidad de Nariño, Pasto, Clle 18 - Cra 50, Colombia, Posgrado en Ciencias Matemáticas, UNAM, 04510 DFDepartamento de Matemáticas y Estadística,, Universidad de Nariño, Pasto, Clle 18 - Cra 50, Colombia, Posgrado en Ciencias Matemáticas, UNAM, 04510 DFDepartamento de Matemáticas y Estadística,, Universidad de Nariño, Pasto, Clle 18 - Cra 50, Colombia, Posgrado en Ciencias Matemáticas, UNAM, 04510 DFTuberculosis (TB) is a global emergency. The World Health Organization reports about 9.2 million new infections each year, with an average of 1.7 million people killed by the disease. The causative agent is Mycobacterium tuberculosis (Mtb), whose main target are the macrophages, important immune system cells. Macrophages and T cell populations are the main responsible for fighting the pathogen. A better understanding of the interaction between Mtb, macrophages and T cells will contribute to the design of strategies to control TB. The purpose of this study is to evaluate the impact of the response of T cells and macrophages in the control of Mtb. To this end, we propose a system of ordinary differential equations to model the interaction among non-infected macrophages, infected macrophages, T cells and Mtb bacilli. Model analysis reveals the existence of two equilibrium states, infection-free equilibrium and the endemically infected equilibrium which can represent a state of latent or active infection, depending on the amount of bacteria.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.973qualitative analysisimmunology.numerical solu- tionstuberculosisordinary differential equations |
| spellingShingle | Eduardo Ibarguen-Mondragon Lourdes Esteva Leslie Chávez-Galán A mathematical model for cellular immunology of tuberculosis Mathematical Biosciences and Engineering qualitative analysis immunology. numerical solu- tions tuberculosis ordinary differential equations |
| title | A mathematical model for cellular immunology of tuberculosis |
| title_full | A mathematical model for cellular immunology of tuberculosis |
| title_fullStr | A mathematical model for cellular immunology of tuberculosis |
| title_full_unstemmed | A mathematical model for cellular immunology of tuberculosis |
| title_short | A mathematical model for cellular immunology of tuberculosis |
| title_sort | mathematical model for cellular immunology of tuberculosis |
| topic | qualitative analysis immunology. numerical solu- tions tuberculosis ordinary differential equations |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.973 |
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