Huali - If the goal of making a very arbitrary decision as to which 
patient exhibits linear versus nonlinear PK is to "get a better look" then 
that is fine.  It may reveal an underlying relationship in the data.  So 
for example, you may wish to plot the resulting post-hoc values of 
clearances and volumes versus dose to understand what sort of nonlinearity 
is present.  Does the apparent nonlinearity produce higher or lower than 
expected exposures?  Is it a clearance or absorption issue?  however, the 
danger in such an approach is that you are making very subjective 
decisions as to what is and is not nonlinear.

With the limited info you have provided I can only make general 
assertions.  However, such an exercise should only be used as an 
intermediate, exploratory tool to understand what is truly occurring with 
this drug which will then permit building a more optimal model that 
encompasses all the data.  If the drug is subject to polymorphic 
metabolism, or some precipitant of a drug interaction is present then one 
might consider patients as subpopulations using either known values of 
covariates or a mixture model.  However, more likely is that there is some 
underlying continuous distribution of Km in your population and that some 
fraction of your high dose patients have a low enough Km and have achieved 
high enough concentrations so as to exhibit an obviously nonlinear 
profile.  A similar distribution of bioavailability might explain data 
moving in the opposite direction. 

With data as rich as you have described in your posting, it seems like you 
should have a very good chance of identifying the underlying properties 
that have produced your observations.

Jeff


______________________________________________________




"Huali Wu" <[EMAIL PROTECTED]> 
Sent by: [EMAIL PROTECTED]
12-Aug-2008 12:14
 
To
[email protected]
cc

Subject
[NMusers] Subpopulation






Dear NMusers:
 
I am trying to fit a dataset with 13 dose levels. The highest dose is 
about 10 times of the lowest dose. Each patient receive one dose and were 
sampled intensively up to 7 days. The results of individual PK analysis 
shown linear kinetics for some of the patients and nonlinear kinetics for 
the other patients. I have tried to fit all of them together. But my 
advisor wants me to fit linear patients and nonlinear patients separately 
to get a better look of fitting. 
 
Additionally, all the nonlinear patients are from higher dose levels. But 
not all the patients in higher dose levels shown nonlinear kinetics. So my 
question is which way is more appropriate in this case? Should I fit them 
all together or separately? Could these two types of patients be 
considered as subpopulations?
 
Any comment or suggestion will be highly appreciated.
 
Best regards,
 
Huali

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