I’m not sure that Brian’s suggestion is acceptable due to the following 
constraint I quote from one of the NONMEM manuals:

 

“Time dependent covariates cannot be part of the MU_ equation”

 

If CAT is time-varying (as suggested by Jacob) then “MU_1 = CAT1*THETA(1) + 
CAT2*THETA(2) + CAT3*THETA(3)” includes time dependent covariates. Rather 
worryingly, I don’t think NONMEM will trap this problem since I have fallen 
foul of it with no resulting NONMEM warnings, and I have no idea what the 
consequences are for the resulting NONMEM run and results.

 

Rupert

 

Rupert Austin, PhD

Senior Scientist

BAST Inc Limited

Loughborough University Science and Enterprise Park

Charnwood Wing

Holywell Park

Ashby Road

Loughborough, LE11 3AQ, UK

Tel: +44 (0)1509 222908

 

From: [email protected] [mailto:[email protected]] On 
Behalf Of Sadler, Brian
Sent: 13 April 2016 13:26
To: [email protected]
Subject: [NMusers] RE: Link different thetas to same omega using mu referencing

 

Hi Jacob,

 

I suggest:

CAT1=0

CAT2=0

CAT3=0

IF(CAT.EQ.1) CAT1=1

IF(CAT.EQ.2) CAT2=1

IF(CAT.EQ.3) CAT3=1

MU_1 = CAT1*THETA(1) + CAT2*THETA(2) + CAT3*THETA(3)

CL = EXP(MU_1+ETA(1))

 

That way you have only one OMEGA. This could be more flexible when expanding 
OMEGA for additional IIV in block format.

 

Cheers… Brian

 

 

From: [email protected] <mailto:[email protected]>  
[mailto:[email protected]] On Behalf Of Michael Fossler
Sent: Wednesday, April 13, 2016 7:56 AM
To: Leander, Jacob; [email protected] <mailto:[email protected]> 
Subject: [NMusers] RE: Link different thetas to same omega using mu referencing

 

This looks like it would work – it seems to obey the rules around 
mu-referencing. You can simplify the $OMEGA by using SAME(3)

 

 

Mike

Michael J. Fossler, Pharm. D., Ph. D., F.C.P.

VP, Quantitative Sciences

Trevena, Inc

 <mailto:[email protected]> [email protected]

Office: 610-354-8840, ext. 249

Cell: 610-329-6636

 

From: [email protected] <mailto:[email protected]>  
[mailto:[email protected]] On Behalf Of Leander, Jacob
Sent: Wednesday, April 13, 2016 7:01 AM
To: [email protected] <mailto:[email protected]> 
Subject: [NMusers] Link different thetas to same omega using mu referencing

 

Hi

 

Consider the case where we have a categorical (potentially time-varying) 
covariate named CAT that can take several values (e.g. 0,1,2,3).

Let’s say I want to model CL depending on this categorical covariate (where 
parameters are estimated on log-scale). 

A simple solution to this would be

 

IF(CAT.EQ.1) TVCL = THETA(1)

IF(CAT.EQ.2) TVCL = THETA(2)

IF(CAT.EQ.3) TVCL = THETA(3)

 

I let CL be described by a log-normal distribution with the same omega element 
for all CAT values.

 

CL = EXP(TVCL + ETA(1))

 

With an omega statement:

 

$OMEGA 0.1

 

I now want to switch to the mu referencing framework in NONMEM. Each theta 
needs to be reference to a MU value, and to force it to be described by the 
same eta I apply the following approach.

 

MU_1 = THETA(1)

MU_2 = THETA(2)

MU_3 = THETA(3)

 

IF(CAT.EQ.1) CL = EXP(MU_1 + ETA(1))

IF(CAT.EQ.2) CL = EXP(MU_2 + ETA(2))

IF(CAT.EQ.3) CL = EXP(MU_3 + ETA(3))

 

With an omega statement:

 

$OMEGA BLOCK(1) 0.1

$OMEGA BLOCK(1) SAME

$OMEGA BLOCK(1) SAME

 

where I force the omega element corresponding to ETA1, ETA2 and ETA3  to be the 
same.

 

Is this a valid approach to obtain what I need? 

Or is there a simpler way in the mu-referencing framework to link different 
thetas to the same omega element?

 

All the best,

Jacob 

 

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