The pharmacodynamics of antibiotic treatment
type: Item
instance of: scholarly article
title: The pharmacodynamics of antibiotic treatment
zbMATH Open document ID: 1111.92033
DOI: 10.1080/10273660601122773
author: Imran Mudassar
author: Hal L. Smith
published in: Computational \& Mathematical Methods in Medicine
publication date: 2007-06-12T00:00:00Z
full work available at URL: https://eudml.org/doc/231768
review text: Summary: 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.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 92C45
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 5163600
zbMATH Keywords: Pharmacokinetics
zbMATH Keywords: Antibiotic
zbMATH Keywords: Infection
zbMATH Keywords: Plasmid
MaRDI profile type: Publication
OpenAlex ID: W1978528386
Wikidata QID: Q57250087
description: scientific article; zbMATH DE number 5163600