Mathematical modeling of bacterial resistance to antibiotics by mutations and plasmids

Ibargüen-Mondragón, Eduardo Y Romero, Jhoana P. Y Esteva P., Lourdes Y Burbano-Rosero, Edith (2016) Mathematical modeling of bacterial resistance to antibiotics by mutations and plasmids. World Scientific, 24. pp. 1-18. ISSN 0218-3390

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URL Oficial: http://dx.doi.org/10.1142/S0218339016500078

Resumen

Diversity of drugs against bacterial infections, and development of resistance to such drugs are increasing. We formulate and analyze a deterministic model for the population dynamics of sensitive and resistant bacteria to multiple bactericidal and bacteriostatic antibiotics, assuming that drug resistance is acquired through mutations and plasmid transmission. Model equilibria are determined from qualitative analysis, and numerical simulations are used to assess temporal dynamics of sensitive and drug-resistant bacteria. The model presents three possibilities: elimination of bacteria, persistence of only resistant bacteria, or coexistence of sensitive and resistant bacteria. Evolution to one of these scenarios depends on thresholds numbers involving sensitive and resistant bacteria

Tipo de Elemento: Artículo
Palabras Clave: Bacteria; Drug Resistance; Plasmids; Ordinary Differential Equations; Stability
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 21:27
Ultima Modificación: 02 Mar 2017 22:29
URI: http://sired.udenar.edu.co/id/eprint/3787

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