RE: PD initialization
From: "Piotrovskij, Vladimir [JanBe]" <VPIOTROV@janbe.jnj.com>
Subject: RE: PD initialization
Date: Mon, 9 Oct 2000 11:25:36 +0200
The control and the simulated data set below illustrate my point. It works perfectly in the estimation mode. It is a single-individual example which can easily be generalized for the population case.
Unexpectedly, the situation turned out to be not so simple. When the control below is run in a simulation mode it produces biased PRED at TIME = 0 for both compartments 1 and 2. Nevertheless, if OMEGAs are fixed to 0 there is no bias in PRED anymore. It seems to be a bug. I will explore this further and will post a question to nmconsult.
Best regards,
Vladimir
----------------------------------------------------------------------
NM-TRAN Control stream
$PROBLEM PK-PD simultaneous
$INPUT ID TIME DV AMT CMT
$DATA nmd.ssc
$SUB ADVAN9 TOL=6
$MODEL
COMP=(CENTRAL)
COMP=(EFFECT)
$PK
K = THETA(1)
EC50 = THETA(2)
K0 = THETA(3)
KE = THETA(4)
S1 = THETA(5)
F2 = K0/KE
$DES
DADT(1)=-K*A(1) ; PK
CP = A(1)/S1
EFF = 1-CP/(CP+EC50)
DADT(2)= K0*EFF - KE*A(2) ; PD
$ERROR
IF (CMT.EQ.1) THEN
Y = F * EXP(ERR(1))
ELSE
Y = F * EXP(ERR(2))
ENDIF
$THETA
(0 0.5 1); 1 K
(0 0.5 2); 2 EC50
(0 1.0 5); 3 K0
(0 0.1 1); 4 KE
(0 20.0 100); 5 S1
$OMEGA .02 .05
;$SIM (51813)
$EST PRINT=10 MAX=9990
$COV
$TABLE ID TIME AMT CMT
FILE=tab.ssc NOPRINT ONEHEADER
Data set
1 0 0 100 1
1 0 0 1 2
1 0 4.74 0 1
1 0 11.04 0 2
1 1 3.0668 0 1
1 1 8.5346 0 2
1 2 1.9344 0 1
1 2 6.6172 0 2
1 3 1.0375 0 1
1 3 9.0932 0 2
1 4 0.56123 0 1
1 4 9.3156 0 2
1 5 0.44249 0 1
1 5 7.8811 0 2
1 6 0.21302 0 1
1 6 5.78 0 2
1 7 0.15583 0 1
1 7 7.0446 0 2
1 8 0.083318 0 1
1 8 7.7035 0 2
1 9 0.047182 0 1
1 9 5.8446 0 2
1 10 0.033686 0 1
1 10 7.3329 0 2