RE: Drug-metabolite kinetics
From: "BRUNO, Rene" <Rene.BRUNO@RP-RORER.FR>
Subject: RE: Drug-metabolite kinetics
Date: Mon, 5 Jul 1999 09:47:30 +0200
> Be careful I believe that this model may have identifiability problems. As
> it is written, CL (parent drug clearance should refer to clearance of all
> parent drug elimination routes except this particular metabolic route (it
> is accounted for by KF in the equation). In addition I don't think VMT is
> identifiable (as CLM) unless you know the fraction of parent drug
> converted to this particular metabolite (a problem similar for parent drug
> CL and VP in case of an oral drug, you need to know F, the absolute
> bioavailability).
>
An alternative code is this one (using ADVAN 6). The parent has 3 compartment IV route and the metabolite 2 compartments (compt 4 and 5) :
...
$SUBROUTINES ADVAN6 TRANS1 TOL=5
$MODEL
NCOMPARTMENTS=5 NPARAMETERS=10
COMP=(CENTRAL DEFDOSE NOOFF)
COMP=('PERIPH.' NOOFF)
COMP=('PERIPH.' NOOFF)
COMP=('METAB.' DEFOBS NOOFF)
COMP=('METAB.' NOOFF)
$PK
... ; parent parameters
TVK14=THETA(1)
K14=TVK14*EXP(ETA(1))
TVK45=THETA(2)
K45=TVK45*EXP(ETA(2))
TVK54=THETA(3)
K54=TVK54*EXP(ETA(3))
TVK40=THETA(4)
K40=TVK40*EXP(ETA(4))
K=CL/V ; K elimination for parent, all routes
S1=V ; Scaling for parent
S4=1 ; Scaling for the metabolite, should be V4 but it is unidentifiable since we don't know the fraction of parent CL accounted for by this metabolic route
$DES
DADT(1)=A(2)*K21+A(3)*K31-A(1)*(K12+K13+K) ; eq for parent
DADT(2)=A(1)*K12-A(2)*K21 ; eq for parent
DADT(3)=A(1)*K13-A(3)*K31 ; eq for parent
DADT(4)=A(1)*K14+A(5)*K54-A(4)*(K45+K40) ; eq for metabolite. As we fixed V4 = 1, then K14 estimate is actually K14/V4
DADT(5)=A(4)*K45-A(5)*K54 ; eq for metabolite