title: On the interactions of sensitive and resistant Mycobacterium tuberculosis to antibiotics.
abstract: 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.
authors: Departamento de Matemáticas y Est., Facultad de Ciencias Exactas y Nat., UDENAR, Clle 18-Cr 50, C. U. Torobajo, Pasto, Colombia. Electronic address: edbargun@udenar.edu.co.
authors: Eduardo
authors: E
authors: Ibargüen-Mondragón
authors: Lourdes
authors: L
authors: Esteva
mesh_terms: D024881:Drug Resistance, Bacterial / Q000276:immunology*; D006099:Granuloma / Q000276:immunology*; D006801:Humans; D018448:Models, Immunological; D009169:Mycobacterium tuberculosis / Q000187:drug effects*; D014376:Tuberculosis / Q000188:drug therapy / Q000276:immunology*
keywords: Bacterial resistance to antibiotics; Immunology of TB; Ordinary differential equations