RE: Fx
From: Xiao, Alan alan_xiao@merck.com
Subject: RE: [NMusers] Fx
Date: Wed, May 26, 2004 8:23 am
Paul,
I believe F2 can not help you in your case.
Parameter identifiability (or overparameterization) problem related to
modeling metabolite (or multicompartment) data, when neither excretion data
is available nor separate metabolite administration is conducted, could be
fixed by fixing the metabolic ratio. This metabolic ratio could either be
from prior studies or derived from preclinical data or derived from other
drugs with similar molecular structure and/or similar metabolic pathways.
When your system is linear in PK, you could directly fix the metabolic ratio
through K values, such as K23/(K20+K23). If your system is nonlinear, you
might want to add an excretion compartment and fix the ratio at some value
at time infinity (theoretically). If your metabolism is reversible directly
or indirectly, the equation to express the metabolic ratio will be a little
bit more complicated. By the way, although your metabolic ratio is fixed,
the interindividual variability could still be estimated if it's estimable
from the data.
Whether you use volume of distribution or not in your $DES will not change
anything. It's just a matter of reparameterization in the mass balance
differential equations. However, if you fix the volume of distribution to a
certain value, you might want to be careful because it could be misleading.
On the other hand, I doubt you could really solve the overparameterization
problem by fixing the volume of distribution. The reason is simple, control
volume of distribution can not control the metabolic ratio (or relative mass
transport in terms of mass balance).
S3 should be scaled consistently as S2 for the purpose of mass balance. Just
one point, if your metabolite concentration and parent drug concentration
are expressed in weight unit such as ng/mL, you need set up a reference for
both using their molecular weight to calibrate their concentrations.
Hope this helps.
Alan