Rc. Li et al., PHARMACODYNAMIC MODELING OF BACTERIAL KINETICS - BETA-LACTAM ANTIBIOTICS AGAINST ESCHERICHIA-COLI, Journal of pharmaceutical sciences, 83(7), 1994, pp. 970-975
A simple pharmacodynamic model has been developed to describe the bact
erial kinetics exhibited by P-lactam antibiotics. In contrast with pre
vious models that only characterized the early killing phase of a time
-kill curve, the present model is capable of simultaneously describing
both the killing and regrowth phases. The model relied on the use of
both first-order bactericidal and resistance formation rate constants
to accurately define the time-dependent changes in the bacterial popul
ations of an antibiotic-treated culture. The concentration dependency
of the bactericidal rate constant was further delineated using a satur
able-receptor model. Furthermore, an exponential decrease in the resis
tance formation rate with increasing antibiotic concentrations was dem
onstrated. The evolving pharmacodynamic model was also explored via co
mputer simulations by perturbing the two governing rate constants. The
model was subsequently applied to the description of time-kill data f
or amoxicillin, penicillin G, and cephalexin against Escherichia coil.
The description of amdinocillin's action against E. coil was not as c
omprehensive because of the existence of a second killing phase. Howev
er, this model can be applicable to many classes of antibiotics that d
isplay the usual killing and regrowth phases in time-kill studies. The
pharmacodynamic model can potentially improve the prediction of bacte
rial killing and regrowth and foster an improved understanding of comp
lex antimicrobial pharmacodynamics.