A PHARMACODYNAMIC MODEL FOR THE ACTION OF THE ANTIBIOTIC IMIPENEM ON PSEUDOMONAS-AERUGINOSA POPULATIONS IN-VITRO

Citation
Ph. Berg et al., A PHARMACODYNAMIC MODEL FOR THE ACTION OF THE ANTIBIOTIC IMIPENEM ON PSEUDOMONAS-AERUGINOSA POPULATIONS IN-VITRO, Bulletin of mathematical biology, 58(5), 1996, pp. 923-938
Citations number
25
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
ISSN journal
00928240
Volume
58
Issue
5
Year of publication
1996
Pages
923 - 938
Database
ISI
SICI code
0092-8240(1996)58:5<923:APMFTA>2.0.ZU;2-X
Abstract
The standard method for measuring in vitro antibiotic efficacy is base d on a point observation of bacterial activity 18 hours after inoculat ion. The method, while simple, forgoes significant information by igno ring the dynamics of the interactions between antibiotic and bacteria. This paper proposes a simple dynamic model describing these interacti ons. The model consists of two non-linear differential equations of th e S-system type. Its parameter values are estimated, through the minim ization of residual errors, from data on the effect of the carbapenem antibiotic imipenem on Pseudomonas aeruginosa. The model adequately de scribes the dynamic behavior of the bacterial populations in the prese nce of the antibiotic: beginning with drug administration, then throug h the decline of the bacterial population and possibly ending with bac terial resurgence.