TABLE 1

Results (error free; assay error E = 0) arising from the Newton-Raphson method for estimating of Tmax from two- or three-compartmental models

Two-Compartment, Oral (α = 0.8 h−1, β = 0.2 h−1; k21 = 0.5 h−1; FsysDosepo/V1 = 100)
Fast Absorption (ka = 2 h−1)Slow Absorption (ka = 0.1 h−1)
C2compEmbedded ImageEmbedded Image
dC2comp/dtEmbedded ImageEmbedded Image
d2C2comp/dt2Embedded ImageEmbedded Image
Tmax,2comp,true (h)0.9725.77
Cmax,2comp,true (μg/ml)64.216.3
Three-Compartment, Oral (λ1 = 1.0 h−1; λ2 = 0.8 h−1; λ3 = 0.2 h−1; k21 = 0.5 h−1; k31 = 1.5 h−1)
Fast Absorption (ka = 2 h−1)Slow Absorption (ka = 0.1 h−1)
C3compEmbedded ImageEmbedded Image
dC3comp/dtEmbedded ImageEmbedded Image
d2C3comp/dt2Embedded ImageEmbedded Image
Tmax,3comp,true (h)1.286.25
Cmax,3comp,true (μg/ml)82.424.2
Multicompartment, Oral (τ = 6; parameters same as above; ka = 2 h−1)
Two-Compartment (Fast Absorption)Three-Compartment (Fast Absorption)
CmultiEmbedded ImageEmbedded Image
dCmulti/duEmbedded ImageEmbedded Image
d2Cmulti/du2Embedded ImageEmbedded Image
Tmax,multi,true (h)0.8991.13
Cmax,multi,true (μg/ml)84.3114
  • Dosepo, oral dose administered; Fsys, systemic oral bioavailability, product of fraction absorbed (Fabs) and availabilities of intestine, liver and lung from the first-pass effect; k31, first-order transfer rate from compartment 3 to 1 (three-compartment model).