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. 2011 Sep;72(3):415–433. doi: 10.1111/j.1365-2125.2011.04000.x

Table 4.

Parameter estimates and covariate relations of the final pharmacokinetic–pharmacodynamic interaction model

Parameterization Unit Population estimate RSE (%) Bootstrap (n = 1000) 95% CI
Pharmacokinetic model rocuronium
CL = CLAGE×Θ× (BW/70)0.75 l min−1 0.269 1.79 0.259–0.277
CLAGE = 1 +Θ× (AGE – 43.0) −0.00678 16.1 −0.00887 to −0.00490
IIV CL (shrinkage 12%) % 32.4 11.1 29.0–35.6
V1 = V1CR×Θ× (BW/70)1 l 4.73 2.68 4.46–4.98
V1CR = Exp[Θ× (CR – 119)] −0.00143 26.4 −0.00214 to −0.00073
IIV V1 (shrinkage 28%) % 23.8 33.6 17.6–31.1
Q2 = Q2RAC×Θ× (BW/70)0.75 l min−1 0.279 5.27 0.253–0.309
Non-Asian: Q2RAC = 1
Asian: Q2RAC = 1 +Θ −0.212 38.2 −0.340 to −0.060
V2 = V2AGE×Θ× (BW/70)1 l 6.76 2.22 6.48–7.12
V2AGE = Exp[Θ× (AGE – 43.0)] 0.00613 20.6 0.00373–0.00851
IIV V2 (shrinkage 37%) % 32.2 21.6 28.5–35.9
Residual error (shrinkage 14%) % 20.0 10.8 17.9–22.1
Pharmacokinetic model sugammadex
CL = CLBW× (REN ×Θ) l min−1 0.093 1.47 0.0902–0.0958
REN = [2 × CR/(CR+119)]Θ 1.29 4.77 1.19–1.39
CLBW = 1 +Θ× (BW – 74.5) 0.00378 19.1 0.00152–0.00571
IIV CL (shrinkage 25%) % 22.4 18.1 18.2–25.7
V1 = V1BW× V1RAC×Θ× (BW/70)1 l 4.42 2.35 4.21–4.64
V1BW = 1 +Θ× (BW – 74.5) −0.00354 23.1 −0.00549 to −0.00178
Non-Asian: V1RAC = 1 
Asian: V1RAC = 1 +Θ −0.16 22.9 −0.228 to −0.091
Q2 = Θ× (BW/70)0.75 l min−1 0.206 4.69 0.188–0.225
V2 = V2CR×Θ× (BW/70)1 l 6.35 2.82 6.00–6.71
V2CR = Exp[Θ× (CR – 119)] −0.00305 18.3 −0.0041 to −0.0020
Residual error (shrinkage 3%) % 36.3 17.7 30.1–42.0
Pharmacokinetic model complex
kd µm 0.0559 Fixed
loge(k2) min−1 −3.38 16.5 −4.20 to −1.43
Pharmacodynamic model rocuronium
keo = keoSEV×Θ× (BW/70)−0.25 min−1 0.134 6.49 0.118–0.153
No sevoflurane: keoSEV = 1
Sevoflurane: keoSEV = 1 +Θ −0.567 8.94 −0.668 to −0.467
IIV keo (shrinkage 0%) % 41.7 14.8 35.1–47.2
EC50 = EC50SEV×Θ µm 1.62 3.68 1.50–1.75
No sevoflurane: EC50SEV = 1
Sevoflurane: EC50SEV = 1 +Θ −0.395 12.0 −0.476 to −0.293
IIV EC50 (shrinkage 0%) % 24.9 16.9 19.9–28.4
r (correlation keo and EC50) 0.37 32.9 0.191–0.455
Hill = Θ 7.52 5.84 6.99–8.15
IIV Hill (shrinkage 2%) % 41.1 22.0 32.7–48.5
E0 = Θ× 100 T4/T1 1.04 1.51 1.01–1.07
IIV E0 (shrinkage 2%) % 11.1 21.5 8.5–13.3
Residual error (shrinkage 5%) T4/T1 2.70 7.03 2.50–2.87
Pharmacodynamic model sugammadex
ks = Exp(Θ) × (BW/70)−0.25 min−1 µm−1 −3.43 0.222 −3.57 to −2.68
IIV ks (shrinkage 3%) % 114% 14.9 0.966–1.90
Residual error (shrinkage 0%) T4/T1 3.24 4.39 3.12–3.45

Pharmacokinetic and PK–PD parameters are as presented in Figure 1. RSE(%), relative standard error describing uncertainty in the parameter (100 × SE/population estimate). SE, asymptotic standard error estimate of the parameter (taken from $COV of NONMEM). IIV, interindividual variability. CI, confidence interval. Parameterization complex formation kd = k2/k1. SEV, sevoflurane. RAC, race. BW, bodyweight, CR, creatinine clearance. Emax for rocuronium NMB is set equal to E0.