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On the interactions of sensitive and resistant Mycobacterium tuberculosis to antibiotics

Ibargüen-Mondragón, Eduardo Y Esteva P., Lourdes (2013) On the interactions of sensitive and resistant Mycobacterium tuberculosis to antibiotics. Mathematical Biosciences, 246. pp. 84-93. ISSN 0025-5564

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In this work we propose a system of non linear ordinary differential equations for the dynamics of Mycobacterium tuberculosis (Mtb) within the host, in order to study the role of macrophages, T cells and antibiotics in the control of sensitive and resistant Mtb. Conditions for the persistence of sensitive and resistant bacteria are given in terms of the secondary infections produced by bacteria and macrophages, the immune response, and the antibiotic treatment. Model analysis predicts backward bifurcations for certain values of the parameters. In this case, the dynamics is characterized by the coexistence of two infection states with low and high bacteria load, respectively.

Tipo de Elemento: Artículo
Palabras Clave: Bacterial resistance to antibiotics; Immunology of TB; Ordinary differential equations
Asunto: Q Ciencias > QA Mathematics
Division: Facultad de Ciencias Exactas y Naturales > Programa de Licenciatura en Matemáticas > Productividad
Depósito de Usuario: Dr. Eduardo Ibarguen Mondragon
Fecha Deposito: 02 Mar 2017 22:17
Ultima Modificación: 02 Mar 2017 22:17


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