Hi Hyewon
My 2 cents of advice:
1. Note that you need to estimate the baseline hazard. You can then add
AUC as a covariate on the baseline hazard, or perhaps the Weibull shape
factor.
2. Because of my limited experience, I am not sure of the type of
survival distribution you are trying to model, but if it is a Weibull
distribution, I would write the code as follows:
$PK
IF(NEWIND.LE.1) OT=0 ; OT is zero at start for each individual

HAZBASE=THETA(X)*EXP(ETA(X)) ; baseline hazard for RTTE
ALPH=THETA(Y) ; weibull shape parameter
EFF=HAZBASE*(1-AUC/(EC+AUC) ; Imax model on hazbase (or on ALPH if you
want)
etc

$DES
DADT(1) = EFF*ALPH*(EFF*(T-OT+DEL))**(ALPH-1) ; HAZARD CHANGES WITH TIME

$ERROR
OT=TIME ; so that NONMEM remembers this value to subtract at the next
record in $DES
etc

Hope that helps. 

Regards,

Emmanuel



>>> Hyewon Kim 03/24/11 1:18 PM >>>
Dear NMuser 

I am trying to analyze time to repeated event data using NONMEM. 
The response were obtained till 24 hours after drug administration. 
Inhibitory Emax model was implemented. 
I am getting unreasonable parameter estimates which is far beyond what
data say. 
If some body can point out what i am doing wrong, it would be very
helpful. 
Thank you in advance. 

Hyewon 


Data set (# of observations =62, # of patients=50 ) 
C ID TIME CS MDV AUC 
. 101 0 . 1 1.111 
. 101 0.05 0 0 1.111 
. 101 2 0 0 1.111 
. 102 0 . 1 0 
. 102 24 1 0 0 
. 103 0 . 1 0.999 
. 103 0.75 . 0 0.999 
.... 

Model File 
$PROB RUN# 101 
$INPUT C ID TIME CS MDV AUC 
;CS:0=having event,1=censored 
$DATA .data.csv IGNORE=C 
$SUBROUTINE ADVAN=6 TOL=6 
$MODEL 
COMP=(HAZARD) 
$PK 
LAMD=THETA(1)*EXP(ETA(1)) ;scale factor 
ALPH=THETA(2) ;shape factor 

EC=THETA(3) ;AUC when effect is half of its max 
EFF=1-AUC/(EC+AUC) ;drug effect 

$DES 
DEL=1E-6 
DADT(1)=LAMD*ALPH*(TIME+DEL)**(ALPH-1)*EXP(-LAMD*(TIME+DEL)**ALPH)*EFF 

$ERROR 
DEL2=1E-6 
IF(NEWIND.NE.2) OLDCHZ=0 
CHZ=A(1)-OLDCHZ 
OLDCHZ=A(1) 
SUR=EXP(-CHZ) 
HAZNOW=LAMD*ALPH*(TIME+DEL2)**(ALPH-1)*EXP(-LAMD*(TIME+DEL2)**ALPH)*EFF 

IF(CS.EQ.1) Y=SUR ;survival prob of censored 
IF(CS.EQ.0) Y=SUR*HAZNOW ;pdf of event 

$THETA 
(0,10) ;[scale factor] 
(0,1.0) ;[shaph factor] 
(0,0.01) ;[AUC at half of Emax] 

$OMEGA 
0.01 ;[p] omega(1,1) 

$EST METHOD=COND LIKE LAPLACIAN PRINT=5 SIG=3 MAX=9999 MSFO=101.msf 

$COV PRINT=E 

$TABLE ID TIME SUR AUC ONEHEADER NOPRINT FILE=101.tab 

 

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