Hello Nick:
The statement I made pertains only to EM algorithms (ITS, SAEM, IMP), and 
BAYES.  The classic methods (FOCEI, Laplace), do not engage in averaging the 
covariates across records even when thetas are MU referenced, as the classic 
algorithms do not use EM update methods to advance the theta estimates.

Robert J. Bauer, Ph.D.
Senior Director
Pharmacometrics R&D
ICON Early Phase
731 Arbor way, suite 100
Blue Bell, PA 19422
Office: (215) 616-6428
Mobile: (925) 286-0769
robert.ba...@iconplc.com<mailto:robert.ba...@iconplc.com>
www.iconplc.com<http://www.iconplc.com/>

From: Nick Holford <n.holf...@auckland.ac.nz>
Sent: Saturday, January 11, 2025 9:29 PM
To: Bauer, Robert <robert.ba...@iconplc.com>; 'Leonid Gibiansky' 
<lgibian...@quantpharm.com>; Sébastien Bihorel 
<sebastien.biho...@regeneron.com>; nmusers@globomaxnm.com
Subject: RE: [EXTERNAL] Re: [NMusers] MU referencing and time-varying covariates

Hi Bob,

I am really puzzled by this statement. I would expect NONMEM to recognize time 
varying covariates provide information about the fixed effects and used the 
time specific value of the covariate to make a prediction.
Averaging the covariate across all the records for a subject seems like a poor 
use of information.
Is your statement saying something special associated with the mu-referenced 
transformation? If so would you please clarify your statement about averaging?

Best wishes,
Nick

--
Nick Holford, Professor Emeritus Clinical Pharmacology, MBChB, FRACP
mobile: NZ+64(21) 46 23 53 ; FR+33(6) 62 32 46 72
email: n.holf...@auckland.ac.nz<mailto:n.holf...@auckland.ac.nz>
web: http://holford.fmhs.auckland.ac.nz/<http://holford.fmhs.auckland.ac.nz/>

From: owner-nmus...@globomaxnm.com<mailto:owner-nmus...@globomaxnm.com> 
<owner-nmus...@globomaxnm.com<mailto:owner-nmus...@globomaxnm.com>> On Behalf 
Of Bauer, Robert
Sent: Saturday, 11 January 2025 8:32 pm
To: 'Leonid Gibiansky' 
<lgibian...@quantpharm.com<mailto:lgibian...@quantpharm.com>>; Sébastien 
Bihorel 
<sebastien.biho...@regeneron.com<mailto:sebastien.biho...@regeneron.com>>; 
nmusers@globomaxnm.com<mailto:nmusers@globomaxnm.com>
Subject: RE: [EXTERNAL] Re: [NMusers] MU referencing and time-varying covariates

If a covariate varies across records within a subject, NONMEM obtains a simple 
average among the records and uses this as the covariate value for that subject.

Robert J. Bauer, Ph.D.
Senior Director
Pharmacometrics R&D
ICON Early Phase
731 Arbor way, suite 100
Blue Bell, PA 19422
Office: (215) 616-6428
Mobile: (925) 286-0769
robert.ba...@iconplc.com<mailto:robert.ba...@iconplc.com>
www.iconplc.com<http://www.iconplc.com>

-----Original Message-----
From: owner-nmus...@globomaxnm.com<mailto:owner-nmus...@globomaxnm.com> 
<owner-nmus...@globomaxnm.com<mailto:owner-nmus...@globomaxnm.com>> On Behalf 
Of Leonid Gibiansky
Sent: Friday, January 10, 2025 5:21 PM
To: Sébastien Bihorel 
<sebastien.biho...@regeneron.com<mailto:sebastien.biho...@regeneron.com>>; 
nmusers@globomaxnm.com<mailto:nmusers@globomaxnm.com>
Subject: [EXTERNAL] Re: [NMusers] MU referencing and time-varying covariates

Hi Sébastien,

As you did these experiments, can you share the results: have you seen any 
differences in the fit, parameter estimates, precision, convergence speed 
(number of iteration), and evaluation time for SAEM/IMP (I think, FOCEI does 
not have this restriction of time-independence even if you use Mu referencing, 
so results should be identical or very close).

As code is encrypted, only Bob can answer the question but my understanding is 
that some kind of averaging is used to get time independent value of WT that is 
then used by the SAEM/IMP algorithm for parameter update procedure.

As WT changes slowly and not very significantly, it could be hard to see the 
differences. A more stringent test would be to use time-dependent and strongly 
influential ADA (0/1): how bad is the incorrect version 1 in this case?

Thank you
Leonid

On 1/10/2025 2:56 PM, Sébastien Bihorel wrote:
>
> Happy New Year,
>
> I hope everybody is ready for a great 2025 !
>
> I'll start my message/question by defining 2 different ways of coding
> a simple power relationship between body weigh on clearance.
>
> *
> Coding 1
>
> MU_1 = THETA(1) + THETA(2) * LOG(WGT/70) CL = EXP( MU_1 + ETA(1) )
>
> *
> Coding 2
>
> MU_1 = THETA(1)
> CL = EXP( MU_1 + ETA(1) ) * ( WGT/70 )**THETA(2)
>
> The reference and training materials for NONMEM clearly indicate that
> MU variables should be time invariant within occasions and recommend
> using coding 2 when body weight is time varying. Nevertheless, it is
> possible for an analyst to use coding 1. As far as I can tell from
> some limited testing, this is not a "fatal" error. Either with FOCE(I)
> or SAEM/IMP, NONMEM reports a warning but performs the model
> optimization. The table outputs also report CL as a time varying
> variable changing as body weight changes.
>
> So my questions are the following: when coding 1 is used and body
> weight is time varying, what is NONMEM actually doing during model
> optimization? Does NONMEM internally create occasions to break the
> records by interval of constant body weight and constant MU1?
> Alternatively, does NONMEM internally calculate an average of MU1?
> Something entirely different? What's the risk taken by an analyst when
> using coding 1 versus coding 2?
>
> Thank you in advance for you input
>
>
> __
> Sébastien Bihorel
> Director, Quantitative Pharmacology
> +1 914-648-9581
> sebastien.biho...@regeneron.com<mailto:sebastien.biho...@regeneron.com>
>
>
> Regeneron - Internal
>
> ********************************************************************
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