Sobre la resistencia bacteriana hacia antibióticos de acción bactericida y bacteriostática

• Romero L., Jhoana P. ^[1] ; Ibargüen Mondragón, Eduardo ^[2]
  1. [1] Universidad de Antioquia

     Universidad de Antioquia

     Colombia

     
  2. [2] Universidad de Nariño

     Universidad de Nariño

     Colombia

     
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 32, Nº. 1, 2014 (Ejemplar dedicado a: Revista Integración), págs. 101-116
• Idioma: español
• Títulos paralelos:
  • On bacterial resistance to bactericidal and bacteriostatic antibiotics
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    En este artículo se formula un modelo matemático simple que describe la interacción entre bacterias sensibles y resistentes a múltiples antibióticos de acción bactericida y bacteriostática de forma simultánea, en el supuesto de que la adquisición de resistencia bacteriana se da a través de mutaciones espontáneas y adquiridas por la exposición a diferentes antibióticos. El análisis cualitativo revela la existencia de un equilibrio libre de bacterias, un equilibrio solo con bacterias resistentes y un equilibrio endémico donde coexisten ambas poblaciones de bacterias.

  • English

    In this work we formulate a simple mathematical model that describes the population dynamics of bacteria exposed simultaneously to multiple bactericidal and bacteriostatic antibiotics, assuming that resistance is acquired through mutations due to antibiotic exposure. Qualitative analysis reveals the existence of a free-bacteria equilibrium, resistant-bacteria equilibrium and an endemic equilibrium where both bacteria coexist. 

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