EQUATIONS 1-compartment pharmacokinetics
1.
intrinsic clearance
(liver, unbound)
Cl
2.
hepatic clearance
C lH =
=
int
V max
Km
Q H ⋅ C lint
= QH ⋅ E H
Q H + C lint
Cl int,transport =
glomerular clearance
(kidney)
C lG F R = fu ⋅ G FR
ClR =
renal clearance
6.
systemic clearance
ClT = Cl H + Cl R
7.
elimination rate
constant
ke =
8.
elimination half-life
t1 / 2 =
V max
Km
intrinsic clearance,
transport (kidney,
unbound)
3.
4.
Ae
AUC
5.
ClT
Vd
0.693
ke
plasma concentration vs. time:
Ct =
D − k e ⋅t
⋅e
Vd
2 extravascular
administration
Ct =
ka
F ⋅D
⋅
⋅ { e −ke ⋅t − e −ka ⋅t
Vd ( k a − k e )
11.
3 vascular infusion
Ct =
12.
4 multiple
extravascular
administration
C ss ,av =
F ⋅ Dm
Cl ⋅ τ
17.
C ss,max =
F ⋅ Dm
Vd ⋅ 1 − e −ke ⋅τ
18.
C ss,min = C ss,max ⋅ e − ke ⋅τ
9.
1 vascular
administration
10.
13.
(
Rinf
⋅ 1 − e −ke ⋅t
Cl T
(
)
D
= C0
Vd
} [ ka > ke ]
Rinf
= C ss
Cl T
D
= AUC
Cl
F ⋅D
= AUC
Cl
16.
)
NB These equations are used for quick and dirty calculations of minimum and maximum plasma
concentrations. More accurate calculations also take into account ka (see simulations).
Overige gegevens:
Hepatische plasma flow bij de mens is 800 ml/min
Renale plasma flow bij de mens is 625 ml/min
De glomerulaire filtratiesnelheid bij de mens is 120 ml/min
14.
15.