Objective: To derive a population pharmacokinetic-pharmacodynamic mode
l that characterizes the distribution of pain relief scores and remedi
cation times observed in patients receiving intramuscular ketorolac fo
r the treatment of moderate to severe postoperative pain. Background:
The data analysis approach deals with the complexities of analyzing an
algesic trial data: (1) repeated measurements, (2) ordered categorical
response variables, and (3) nonrandom censoring because the patients
can take a rescue medication if their pain relief is insufficient. Met
hods: Patients (n = 522) received a single oral or intramuscular admin
istration of placebo or a single intramuscular dose of 10, 30, 60, or
90 mg ketorolac for postoperative pain relief. Pain relief was measure
d periodically with use of a five-category ordinal scale up to 6 hours
after dosing. In this period, 288 patients received additional medica
tion because of insufficient pain relief. Pharmacokinetic data was ava
ilable for 85 subjects. Models were fitted to the data with the NONMEM
program. Results: The pharmacokinetic data was best described by a tw
o-compartment model with first-order absorption. Pain relief was found
to be a function of drug concentration (E(m)ax model), time (waxing a
nd waning of placebo effect), and an individual random effect. The dru
g concentration at half-maximal effect (EC(50)) and the first-order ra
te constant (k(eo)) half-life for pain relief were 0.37 mg/L and 24 mi
nutes. The probability of remedication was found to be a function of t
he observed level of pain relief and was found to increase with time.
Monte Carlo simulations showed that adequate pain relief was achieved
in 50% of the patients at 41, 27, 23, and 21 minutes after 10, 30, 60,
or 90 mg of intramuscular ketorolac. Adequate pain relief was maintai
ned up to 6 hours in 50%, 70%, 78%, and 81% of patients after these fo
ur doses. Only 25% of the patients achieved adequate pain relief with
placebo. Conclusions: A population pharmacokinetic-pharmacodynamic mod
el for the analgesic efficacy of intramuscular ketorolac was derived.
The simulated relationship between dose, time, and percentage of patie
nts with adequate pain relief suggested that 30 mg intramuscular ketor
olac was the optimal initial dose for postoperative pain relief.