Journal Article

Within-host population dynamics of antibiotic-resistant <i>M. tuberculosis</i>

Justino Alavez-Ramírez, J. Rogelio Avendano Castellanos, Lourdes Esteva, José Antonio Flores, José Luis Fuentes-Allen, Gisela García-Ramos, Guillermo Gómez and Jesús López-Estrada

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 24, issue 1, pages 35-56
Published in print March 2007 | ISSN: 1477-8599
Published online March 2007 | e-ISSN: 1477-8602 | DOI:
Within-host population dynamics of antibiotic-resistant M. tuberculosis

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  • Applied Mathematics
  • Biomathematics and Statistics


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Mathematical models for the population dynamics of de novo resistant Mycobacterium tuberculosis within individuals are studied. The models address the use of one or two antimicrobial drugs for treating latent tuberculosis (TB). They consider the effect of varying individual immune response strength on the dynamics for the appearance of resistant bacteria. From the analysis of the models, equilibria and local stabilities are determined. For assessing temporal dynamics and global stability for sensitive and drug-resistant bacteria, numerical simulations are used. Results indicate that for a low bacteria load that is characteristic of latent TB and for small reduction in an immune response, the use of a single drug is capable of curing the infection before the appearance of drug resistance. However, for severe immune deficiency, the use of two drugs will provide a larger time period before the emergence of resistance. Therefore, in this case, two-drugs treatment will be more efficient in controlling the infection.

Keywords: tuberculosis; antimicrobial resistance; mathematical model; isoniazid; rifampin

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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