The pharmacodynamics of antibiotic treatment

Imran Mudassar, Hal Smith

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

We derive models of the effects of periodic, discrete dosing or constant dosing of antibiotics on a bacterial population whose growth is checked by nutrient-limitation and possibly by host defenses. Mathematically rigorous results providing sufficient conditions for treatment success, i.e. the elimination of the bacteria, as well as for treatment failure, are obtained. Our models can exhibit bi-stability where the infection-free state and an infection-state are locally stable when antibiotic dosing is marginal. In this case, treatment success may occur only for sub-threshold level infections.

Original languageEnglish (US)
Pages (from-to)229-263
Number of pages35
JournalComputational and Mathematical Methods in Medicine
Volume7
Issue number4
DOIs
StatePublished - Dec 1 2006

Keywords

  • Antibiotic
  • Infection
  • Pharmacodynamics
  • Pharmacokinetics
  • Plasmid

ASJC Scopus subject areas

  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Applied Mathematics

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