TABLE 5

Fitted estimates obtained with fitting the final model (Model H) to liver perfusion data (Table 4), with incorporation of nonlinear protein binding and nonlinear metabolism and biliary secretion of verapamil and norverapamil (see Appendix C for the mass balance equations)

Assigned Parameter, Mean ± S.D. (CV%)
Verapamil (VER, racemic) (μM) (n = 4)1 μM50 μM100 μM
 Volume of sinusoid, V LB (ml) a 2.79 ± 0.232.70 ± 0.162.26 ± 0.12
 Volume of liver tissue, V L (ml) a 8.16 ± 0.6810.6 ± 0.67.56 ± 0.41
Norverapamil (NOR, racemic) (μM)1.5 μM5 μM
 Volume of sinusoid, V LB (ml) a 2.93 ± 0.08 (2.73)2.35 ± 0.15 (6.38)
 Volume of liver tissue, V L (ml) a 8.57 ± 0.22 (2.57)9.23 ± 0.59 (6.39)
Fitted Parameter
Embedded Image : unbound fraction of VER in liver tissue0.0878 ± 0.0050 (5.69)
Embedded Image : unbound fraction of NOR in liver blood perfusate0.44 ± 0.05 (11.3)
Embedded Image : unbound fraction of NOR in liver tissue0.00874 ± 0.00046 (5.26)
Embedded Image : influx and efflux clearances of VER (ml/min)526 ± 96 (18.3)
Embedded Image and Embedded Image : influx and efflux clearances for NOR (ml/min)482 ± 181 (37.6)
Embedded Image : intrinsic formation clearance of NOR from VER under linear conditions (ml/min) Embedded Image (34.6) nmol/min
Embedded Image (38.9) μM
Embedded Image : metabolic intrinsic clearance of VER to form other metabolites under linear conditions (ml/min) Embedded Image (17.7) nmol/min
Embedded Image (34.7) μM
Embedded Image : metabolic intrinsic clearance of NOR under linear conditions (ml/min)36.5 ± 18.4 (50.4)
Embedded Image : biliary intrinsic clearance of VER under linear conditions (ml/min) Embedded Image (55.4) nmol/min
Embedded Image (48.2) μM
Embedded Image : biliary intrinsic clearance of NOR under inear conditions (ml/min) Embedded Image (28.4) nmol/min
Embedded Image (31.0) μM
τ: time delay for biliary secretion (minute)4.49 ± 1.41 (31.4)
Embedded Image b 0.311 ± 0.189
Embedded Image 0.683 ± 0.341
Embedded Image 0.0064 ± 0.0051
  • a The assigned parameters in the PBPK model for fitting of verapamil, preformed; and formed norverapamil simultaneously; from multiple indicator dilution studies in rat (Pang et al., 1988).

  • b The ratio of intrinsic clearances is the same as the ratio of the hepatic clearance.