RE: Parameterization!!!
From: "Stephen Duffull" <sduffull@pharmacy.uq.edu.au>
Subject: RE: Parameterization!!!
Date: Thu, 10 May 2001 17:14:35 +1000
Dear Jean
In the NONMEM code:
CL=THETA(1)*EXP(ETA(1))
V=THETA(2)*EXP(ETA(2))
K=CL/V
It is irrelevant that the model may use transformed parameter values (ie CLs and Vs into rate constants) - since it is the CLs and Vs that are specifically being estimated (not the rate constants). Therefore it is important what parameters you are trying to estimate. For population models it is important to note that the information in an experiment (from the Information matrix) is not invariant to parameterisation (this is in contrast to single subject experiments). It can be shown that the parameterisations for a 1 compartment iv-bolus model CL&K, V&K, CL&V (with respective ETAs) do not provide exactly the same information matrix (indeed can be very different). It is possible for this reason that some parameterisations may appear to work better with some experimental designs than others...
However since CL & V do have some biological plausibility I agree with Nick that they seem preferable.
Kind regards
Steve
=================
Stephen Duffull
School of Pharmacy
University of Queensland
Brisbane, QLD 4072
Australia
Ph +61 7 3365 8808
Fax +61 7 3365 1688
http://www.uq.edu.au/pharmacy/duffull.htm