Re: weight as a covariate in kids
From:Edmund Capparelli
Subject:Re: [NMusers] weight as a covariate in kids
Date:Wed, 30 Oct 2002 13:18:02 -0800
After being involved primarily in pediatric population pharmacokinetic
analyses over the past 12 plus years, I feel very strongly that accounting
for size upfront is critical to modeling pediatric pharmacokinetic
data. It is my underlying assumption that "the truth" is that
pharmacokinetic parameters scale with subject size. Since size is highly
correlated with many other covariates (age, creatinine clearance etc.) and
is an extremely powerful covariate, any evaluation of other covariates in a
structural model without size will have little resemblance to their impact
in a multivariate analysis with size and thus provide limited insight. In
general pediatric pharmacokinetic studies minimize the data collected and
are not designed to robustly answer the size question in regards to all
pharmacokinetic parameters. However in these situations, if one does not
include size in PK parameters because it does improve the fit by some
statistical criteria, there needs to be recognition that an assumption has
been made, that the study design was powerful enough to determine the
impact of size on all pharmacokinetic parameters. In this setting ignoring
size make fit the data as just as well, but it leads to bizarre unrealistic
extrapolations just outside age, covariate, dose-sampling domain that
generated the data. And even if we cautions against extrapolation in these
settings, we modelers need to recognize that the general lack and
fragmentation of pediatric pharmacokinetic information make extrapolation
of pediatric PK data a common practice. Not including size also ignores a
large knowledge of pharmacokinetics in children were we have good
pharmacokinetic information from toddler to adults and size has born out to
be a significant covariate on Vd and Cl (without exception to my knowledge).
I include size on all of my size dependant parameters which may include
absorption. if zero order. In the modeling process it is also important to
recognize that size affects multiple pharmacokinetic parameters and there
are interactions in these influences, so the standard forward covariate
selection approach can grossly underestimate the impact of size on
individual parameters or miss a size covariate entirely. Use of a
backwards elimination approach prevents missing these complex interactions
but rarely are there sufficient data in pediatric pharmacokinetic studies
to support this approach for all covariates.
Lastly getting to how specifics of how to incorporate size into the model
really depends on what questions one is asking. As a starting point I
agree with Nick Holford's approach to used standardized allometric
scaling. It promotes comparability of data, has a sound scientific
theoretic basis, is frequently very close to fitted exponents and in most
situations superior to a linear weight function. However, I would caution
that it does not account for the ontogeny of clearance processes and other
potential age related pharmacokinetic differences. I also keep in the
forefront of mind the quote by Box that "all models are wrong but some are
useful" and do not believe in an ultimate "final" correct model. There are
"final" models given any specific approach (and underlying assumptions) and
there may be usefulness in developing various "final" models with different
sizing approaches to develop and justify pediatric dosing paradigms.
Best Regards,
Edmund
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