The pharmacodynamics of antibiotic treatment

Imran Mudassar, Hal Smith

Research output: Contribution to journalArticle

16 Citations (Scopus)

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 2006

Fingerprint

Pharmacodynamics
Antibiotics
Infection
Anti-Bacterial Agents
Nutrients
Bacteria
Population Growth
Bistability
Treatment Failure
Elimination
Food
Sufficient Conditions
Model

Keywords

  • Antibiotic
  • Infection
  • Pharmacodynamics
  • Pharmacokinetics
  • Plasmid

ASJC Scopus subject areas

  • Applied Mathematics
  • Medicine(all)
  • Modeling and Simulation

Cite this

The pharmacodynamics of antibiotic treatment. / Mudassar, Imran; Smith, Hal.

In: Computational and Mathematical Methods in Medicine, Vol. 7, No. 4, 12.2006, p. 229-263.

Research output: Contribution to journalArticle

@article{275a812283f744b6870f4999a800eeeb,
title = "The pharmacodynamics of antibiotic treatment",
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.",
keywords = "Antibiotic, Infection, Pharmacodynamics, Pharmacokinetics, Plasmid",
author = "Imran Mudassar and Hal Smith",
year = "2006",
month = "12",
doi = "10.1080/10273660601122773",
language = "English (US)",
volume = "7",
pages = "229--263",
journal = "Computational and Mathematical Methods in Medicine",
issn = "1748-670X",
publisher = "Hindawi Publishing Corporation",
number = "4",

}

TY - JOUR

T1 - The pharmacodynamics of antibiotic treatment

AU - Mudassar, Imran

AU - Smith, Hal

PY - 2006/12

Y1 - 2006/12

N2 - 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.

AB - 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.

KW - Antibiotic

KW - Infection

KW - Pharmacodynamics

KW - Pharmacokinetics

KW - Plasmid

UR - http://www.scopus.com/inward/record.url?scp=34547489403&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547489403&partnerID=8YFLogxK

U2 - 10.1080/10273660601122773

DO - 10.1080/10273660601122773

M3 - Article

AN - SCOPUS:34547489403

VL - 7

SP - 229

EP - 263

JO - Computational and Mathematical Methods in Medicine

JF - Computational and Mathematical Methods in Medicine

SN - 1748-670X

IS - 4

ER -