Simulation settgin in the precence of Shrinkage in PK when doing PK-PD analysis
Hi nonmem users,
I have a question related to shrinkage in PK when doing a sequential PK-PD
analysis.
Consider a situation with substantial shrinkage in the estimated individual PK
(e.g. CL).
When simulating PD based on dose from the model, it seems to me that
variability in PD will be over-predicted if the estimated variability in CL
(omega) is used.
Would it then be appropriate to apply shrinkage to the variability in CL prior
to simulating the PD?
Does this have any practical consequences, and is meaningful to consider?
I have mostly seen examples of consequences of shrinkage in the context of
covariate analyses. Are there any examples relating to PK-PD analyses. E.g
simultaneous, versus sequential?
Consider for example the situations below:
I.e. analysis performed by:
1. Derive individual PK parameters.
2. Relate posthoc plasma conc to PD
If doing the analysis based on dose, any variability in PK will show up as
variability in the dose-PD relationship.
When doing the analysis based on plasma concentration (E.g. AUC), the
PK-variability is accounted for by the PK-model and will not influence the
variability in exposure response.
However in the presence of shrinkage in the PK parameters, the situation should
be somewhere in-between these two scenarios and some of the variability in PK
will still show up as variability in PD.
Hence when simulating based on the estimated variability in CL the variability
in pd should theoretically be exaggerated.
Regards,
Matts Kågedal
Senior Pharmacometrician
AstraZeneca
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