RE: Question re: indirect model
From: vgcasabo - vicente.casabo@uv.es
Subject: RE: [NMusers] Question re: indirect model
Date: 1/7/2004 1:20 PM
Dear Jocelyn and Michael
Your code and data file has the following problems:
You need three compartments to model your data
Gut, Pkcentral, Pdcentral
Code in CMT variable in your data file: 1(gut), 2(drug concentrations), 3
(biomarker concs.)
You do not need any of the IF,THEN,ELSE structures in your $DES model. You
have to write DADT(3) differential equation for the biomarker concentration.
You need to initialize the third compartment in the data file with AMT=1 at
time =0 CMT=3 in additional data records.
Then you need another parameter in $PK as F3=THETA(.) and its corresponding
ETA(.), KIN and KOUT are then interdependent
You need two residuals error models.
See the relevant part of model below, I haven't checked it..there might be
additional errors.
Other parametrization are possible,
Hope this helps you.
Vicente
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...
$MODEL NCOMP=3
COMP=(GUT)
COMP=(CENTRAL)
COMP= (PDCEN)
$PK
KA=THETA(1)*EXP(ETA(1))
KE=THETA(2)*EXP(ETA(2))
V2=THETA(3)*EXP(ETA(3))
S2=V2/1000
S3=1 ;or the adequate scale factor
F3=THETA(.)*EXP(ETA(.)); To adequate amt to concentration at time cero
KIN=KOUT*F3
KOUT=THETA(.)*EXP(ETA(.))
IC50=THETA(6)*EXP(ETA(6))
$DES
;PK MODEL
DADT(1)=-KA*A(1)
DADT(2)=KA*A(1)-KE*A(2)
CP=A(2)/S2
;PD MODEL
EFF=CP/(CP + IC50); EMAX can be necessary, no total inhibition is possible
DADT(3)=KIN* (1-EFF)- KIN*A(3)
$ERROR
; two residual error models are used
IF(CMT.EQ.2) W=EXP(EPS(1))
W=EXP(EPS(2))
Y=F*W
IPRED=F
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