If you want both  CL1 and CL2 to be correlated with F  (i.e. allow Omega(CL1,F) 
and Omega(CL2,F) to be free in
the objective function optimization),
then I don't think there is any simple reordering  of the random effects that 
will allow the correlation
between CL1 and CL2 to be fixed to zero - i.e. the element Omega(CL1,CL2) must 
also be free.  
 
The reason for the Nonmem manual entry 
 part VIII, p 94 ($OMEGA), "If FIXED appears anywhere among the list of values, 
the entire block is fixed." 
that Andreas pointed out is that internally Nonmem parameterizes the Omega 
matrix by its
Cholesky factor elements, not the elements of the Omega matrix itself.  The 
Cholesky factor has the
same block diagonal structure as the Omega matrix, but due to the 'fill-in' 
phenomenon during
a factorization, an internal zero element inside an Omega block will not 
necessarily be preserved 
as a zero in the Cholesky factor. So there is no way to force an internal 
element in an Omega block to be zero.
 

Robert H. Leary, PhD 
Fellow 

Pharsight - A Certara(tm) Company 

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Cary, NC 27511 

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-----Original Message-----
From: owner-nmus...@globomaxnm.com [mailto:owner-nmus...@globomaxnm.com]on 
Behalf Of andreas.kra...@actelion.com
Sent: Wednesday, April 15, 2009 6:6 AM
To: nele.pl...@nycomed.com
Cc: nmusers@globomaxnm.com
Subject: Re: [NMusers] OMEGA BLOCK with mixture model?



Nele, 

going by the nonmem user manual, part VIII, p 94 ($OMEGA), "If FIXED appears 
anywhere among the list of values, the entire block is fixed." 
I did not see anyone pointing that out yet. 

This does in fact imply that you need to reorder the sequence of random effects 
(which can be quite a nuisance if you have a sequence of models and the 
parameters do not correspond any more across models). 

        Andreas 


-----

Andreas Krause, PhD
Lead Scientist Modeling and Simulation

Actelion Pharmaceuticals Ltd / Gewerbestrasse 16 / CH-4123 Allschwil / 
Switzerland
phone +41 61 565 6891 / fax +41 61 565 66 96
andreas.kra...@actelion.com / www.actelion.com




nele.pl...@nycomed.com 
Sent by: owner-nmus...@globomaxnm.com 


04/14/2009 05:08 PM 


To
nmusers@globomaxnm.com 

cc

Subject
[NMusers] OMEGA BLOCK with mixture model?

        





Dear all, 

I am trying to fit a PK model to oral data. In the data, we observed two 
things: First, CL seems to be negatively correlated with F1. Secondly, there 
seem to be two subpopulations in the exposure, let's say a large group with 
'normal' and a second group with high exposure. I would like to identify the 
subpopulations using a mixture model, but keep the correlation between CL and 
F1. Now I ran into problems when coding the $OMEGA BLOCK. 

I figured the block to be something like: 
$OMEGA BLOCK(3) 
0.1  ;CL1 
0 FIX 0.1 ;CL2 
0.01 0.01 0.1 ;F1 

The error message that appears is: 
a covariance is zero, but the block is not a band matrix 

I assume that this means that I am not allowed to fix the correlation between 
the two clearance-omegas to zero. However, it would be unreasonable to allow a 
correlation, because the omegas belong to different subpopulations, so there 
can't be a correlation. On the other hand, I did not include subpopulations for 
F1, so how can I keep this correlation to both CL-subgroups? 

Any thoughts on this would be highly appreciated! 
Best wishes 
Nele 
______________________________________________________________

Dr. Nele Plock
Pharmacometrics -- Modeling and Simulation

Nycomed GmbH
Byk-Gulden-Str. 2
D-78467 Konstanz, Germany

Fon: (+49) 7531 / 84 -  4759
Fax: (+49) 7531 / 84 - 94759

mailto: nele.pl...@nycomed.com
http://www.nycomed.com

County Court: Freiburg, Commercial Register HRB 701257
Chairman Supervisory Board: Charles Depasse
Management Board: Dr. Barthold Piening, Gilbert Rademacher, Dr. Anders Ullman 





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