Dear Huali,

I am cutting out the unhappy portion of our discussion of this week-end, 
and come back to your fundamental question as I understand it: You have 
patients of different disease states and you suspect that the patients are 
divided into groups (with different Vm point estimates but also with 
different between-patient variances of Vm) on the basis of their disease 
state. You seem to have a way to subdivide your patients into, let's say 
two groups, on the basis of their disease and by NOT employing modeling. 
Now, you want to include that knowledge into your NONMEM model, but you do 
not exactly know how to do this and whether you are justified to do this.

>From our previous exchange you have learned the HOW. Therefore, we are now 
left with the question,whether you are justified.

I propose that you build your MIXTURE model as we discussed it and you 
record in the output table for each patient the membership in population 1 
or population 2 (this is the EST variable in my code). Then you compare 
these memberships with your prior knowledge of different disease states 
(let's say "without" and "with") with a standard statistical test. If that 
test tells you that population membership determined by NONMEM and disease 
state defined outside NONMEM are correlated, then you seem to be justified 
to define two different between-patient variables (ETAs) on the basis of 
disease state for one and the same structural model parameter (in your 
case Vm), and use the unusual code you put up for discussion:

VM = THETA(1)*TYPE*EXP(ETA(1))+THETA(2)*(1-TYPE)*EXP(ETA(2)) 
 
Where, TYPE =0 for patients without this disease and TYPE=1 for patients 
with this disease. 

You still have the option to compare this model with one where 
ETA(1)=ETA(2), and ask the question whether the two different ETAs are 
justified (watch out you cannot use the log(likelihood) test and must use 
goodness-of-fit and/or predictive performance criteria instead).

I hope my proposals are useful to you,

please, tell us about your findings,

Joachim
__________________________________________
Joachim GREVEL, Ph.D.
Merck Serono S.A. - Genève
Human Pharmacology
1202 Geneva
Tel: +41.22.414.4751
Fax: +41.22.414.3059
Email: [email protected]





[email protected] 
Sent by: [email protected]
03/13/2009 08:23 AM

To
[email protected]
cc

Subject
Re: [NMusers] NONMEM code for Mixture Model







Dear Huali, 

you also need some code which specifies what is different between the 
populations. The differences could be ETAs (but do not have to be!) or 
certain factors which allow a PK parameter to have a different typical 
value in one population. 

EST=MIXEST 
IF(MIXNUM.EQ.2)THEN 
V1=TVV1*EXP(ETA(3)) 
VM=THETA(x)*TVVM*EXP(ETA(4)) 
ELSE 
V1=TVV1*EXP(ETA(1)) 
VM=TVVM*EXP(ETA(2)) 
ENDIF 

The for the $OMEGA  block you have two options: 

either: 
$OMEGA BLOCK(2) 0.1                          ;ETA1 for V1 for population 1 

                0.01 0.1                     ;ETA2 for VM for population 1 

$OMEGA BLOCK(2) SAME                         ;ETA3 ETA4 for population 2 

or: 
$OMEGA BLOCK(2) 0.1                          ;ETA1 for V1 for population 1 

                0.01 0.1                     ;ETA2 for VM for population 1 

$OMEGA BLOCK(2) 0.1                          ;ETA3 for V1 for population 2 

                0.01 0.1                     ;ETA4 for VM for population 2 


But you still face a more fundamental question: Why do you want to define 
two populations when you already know that "patients in different disease 
states seems have different distribution of clearance". I use the Mixture 
models solely when the source of variability is still unknown and when it 
is clear that a normal distribution will not be adequate (ETABAR message 
with p<0.05). In you case I would build the knowledge about the influence 
of the disease states directly into the code which specifies only one 
population. 

Good luck, 

Joachim 

__________________________________________
Joachim GREVEL, Ph.D.
Merck Serono S.A. - Genève
Human Pharmacology
1202 Geneva
Tel: +41.22.414.4751
Fax: +41.22.414.3059
Email: [email protected]




[email protected] 
Sent by: [email protected] 
03/12/2009 08:44 PM 


To
Huali Wu <[email protected]> 
cc
[email protected] 
Subject
Re: [NMusers] NONMEM code for Mixture Model








Hi Huali, 
You could use $MIX. Please see the NM help files for $MIX. You have to 
specify the number of populations (in your case 2) so 
 
$MIX 
    NSPOP=2 
    P(1)=THETA(4) 
    P(2)=1.-THETA(4) 
 
Then use 
EST= MIXEST 
 
Hopefully this helps. 
Best, 
Nidal 
 
Nidal AL-Huniti, PhD 
Associate Director, Modeling and Simulations 
ICON Development Solutions SM 


On 3/12/09, Huali Wu <[email protected]> wrote: 
Dear NMusers: 
  
I am working on dataset with high variability on clearance and patients in 
different disease states seems have different distribution of clearance. 
So I want to try the mixture model but I don't know how to do the coding. 
I listed the code of my base model as below: 
  
$PROB  1hr IV INFUSION SINGLE DOSE WITHOUT COVARIATES
$DATA data01.CSV IGNORE=C
$INPUT ID TIME DV AMT RATE MDV 
  
$SUBROUTINES ADVAN9 TRANS1 TOL=5
$MODEL NPAR=3, NCOMP=1, COMP=(CENTRAL,DEFOBS) 
  
$PK
         V1    = THETA(1)*EXP(ETA(1))
         VM    = THETA(2)*EXP(ETA(2))
         KM   = THETA(3) 
 
          S1    = V1
       
  
$ERROR

Y=F+F*EPS(1)+EPS(2) 

IPRED=F
IRES=DV-IPRED
IF(AMT.NE.0)W=1
IF(AMT.EQ.0)W=F
IWRES=IRES/W 
 
$DES
       C1 = A(1)/V1
       DADT(1) = - C1*VM/(KM+C1)
 
 
$THETA (0, 4.47) (0, 155) (0, 1380)
$OMEGA BLOCK (2)
0.5
0.3 0.9 
 
$SIGMA (0.01) (0.1) 
 
$EST     POSTHOC METHOD=1 MAXEVAL=9990  PRINT=5
$COV
$TABLE          ID TIME DV AMT RATE V1 VM KM IWRES IPRED NOPRINT FILE=TAB4 
ONEHEADER
$SCAT           (RES WRES) VS TIME BY ID 
  
Any suggestion will be highly appreciated! 
  
Best regards, 
  
Huali 

 

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