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. 2011 Mar;6(3):656–663. doi: 10.2215/CJN.05440610

Table 2.

Pharmacokinetics parameter estimations

Parameter Without Effect Dose Final Model (CV in %) Bootstrap (95th Percentile)
TLAG (h) 0.21 (2) 0.21 (2) 0.21 (0.15 to 0.26)
ka (hours−1) 3.9 (10) 3.9 (10) 3.8 (2.5 to 5.0)
Vc (L) 54 (11) 68 (14) 70 (52 to 98)
CL (L/h) 13.6 (6) 17.0 (9) 16.8 (13.9 to 20.2)
Vp (L) 222 (9) 229 (9) 244 (202 to 326)
Q (L/h) 37 (7) 38 (7) 38 (32 to 53)
Residual error 0.45 (2) 0.45 (2) 0.44 (0.42 to 0.47)
Calcineurin inhibitor effect
    θCsA of CL 1.37 (9) 1.13 (11) 1.16 (0.93 to 1.40)
    θCsA of Vc 0.91 (15) 0.72 (18) 0.73 (0.50 to 0.97)
Time dependency
    CsA: θΔ of CL 0.90 (11) 0.87 (11) 0.90 (0.74 to 1.14)
    CsA: θrate of CL (day−1) 0.018 (19) 0.019 (19) 0.020 (0.013 to 0.031)
    TCL: θΔ of CL 0.98 (16) 0.50 (36) 0.55 (0.26 to 1.00)
    TCL: θrate of CL (day−1) 0.046 (22) 0.040 (35) 0.038 (0.003 to 0.085)
    CsA: θΔ of Vc 1.11 (28) 1.13 (27) 1.25 (0.58 to 2.15)
    θrate of Vc (day−1) 0.050 (19) 0.045 (22) 0.047 (0.026 to 0.072)
    TCL: θΔ of Vc 4.5 (22) 3.2 (27) 3.2 (1.8 to 5.4)
Relationship of MMF dose Frel
    CsA: θdose of F −0.15 (30) −0.15 (−0.24 to −0.06)
    TCL: θdose of F −0.41 (25) −0.41 (−0.62 to −0.19)
Interpatient variability
    TLAG (%) 7.3 (189) 7.4 (207) 17 (4 to 155)
    ka (%) 124 (18) 125 (18) 140 (102 to 199)
    Vc (%) 71 (29) 71 (29) 70 (41 to 108)
    CL (%) 31 (24) 31 (24) 34 (23 to 49)
    Frel (%) 43 (17) 41 (17) 44 (34 to 59)
Interoccasion variability
    ka (%) 117 (10) 117 (10) 120 (106 to 134)
    Vc (%) 50 (20) 50 (21) 48 (19 to 70)
    CL (%) 3.3 (452) 3.8 (297) 5.3 (0.1 to 12)
    Frel (%) 25 (12) 24 (12) 24 (20 to 26)

Values of estimated parameters with coefficient of variation (CV). IPV, interpatient variability; IOV, interoccasion variability; OFV, minimum value of objective function; TLAG, lag time; ka, absorption rate constant; Vc, volume of distribution of the central compartment; CL, clearance; Vp, volume of distribution of the peripheral compartment; Q, intercompartmental clearance; CsA, cyclosporine; TCL, tacrolimus; Frel, relative bioavailability; θCsA, fractional change in patients cotreated with CsA; θΔ, relative change in time posttransplantation; θrate, first-order rate constant describing the relative change of a parameter posttransplantation; θdose, exponent determining the shape of the relationship between a parameter and the MMF dose. For example, MPA clearance in cyclosporine-cotreated patients: CL = θpop × θCsACsA = 17.0 × 1.13 = 19.2 L/h; MPA clearance at 30 days posttransplantation in tacrolimus-cotreated patients: CL = θpop(1 + θΔ × e−θrate×time) = 17.0 × (1 + 0.50 × e−0.040×30) = 19.6 L/h; relative bioavailability of 1.5 g of MMF in patients cotreated with tacrolimus: Frel = θpop × (dose/1000)θdose = 1 × (1500/1000)−0.41 = 0.85.