Date: Wed, 17 Nov 1999 11:25:40 -0600
From: Dr Ted Whittem <whittem@uiuc.edu>
Subject: repeating cases
I would be grateful for direction to reading on a method to handle within NONMEM those individual cases that re-enter a study multiple times.
My particular problem involves kinetics of an antibiotic for mastitis in cows. An animal may be successfully treated on one occasion, but re-enter the study several weeks/months later with a new infection (different pathogen, changed covariables etc). Obviously these are not truly independent...
I am a new user and have not yet discovered answers to what are probably FAQs!
Ted Whittem
repeating cases
3 messages
3 people
Latest: Nov 17, 1999
Date: Wed, 17 Nov 1999 13:57:18 -0800
From: Lewis Sheiner <lewis@c255.ucsf.edu>
Subject: Re: repeating cases
The basic idea is to treat the individual as the "same" on each occasion he/she/it is encountered. This means, practically, having all records for an individual be contiguous in the data file, all with the same ID. You can restart the time scale by using a record with EVID = 3 0r 4. Different covariates do not present a problem as the $PK block recomputes the parameters at each event record. If, however, variability between occasions is envisaged, so that the person/animal is not the same between occasions, although perhaps more similar to itself on another occasion than it is to a random other individual (with the same covariate values), then you may wish to allow for both inter-individual variability (IIV) and inter-occasion (IOV) variability. You can read about how one might do this (a bit clumsily) using NONMEM in Karlsson MO, Sheiner LB: The importance of modeling inter-occasion variability in population pharmacokinetic analyses, J Pharmacokin Biopharmaceut, 21: 735-750, 1993.
Good luck,
LBS.
PS. Note that, as happens more often, at least with human data, than one might have thought, the IOV>IIV, then treating each occaasion as though it were a distinct individual is a reasonable approximation.
Date: Thu, 18 Nov 1999 11:32:01 +1300
From: Nick Holford <n.holford@auckland.ac.nz>
Subject: Re: repeating cases
Looks like an ideal case for using a Between Occasion Variability (BOV) model. These have been described by Karlsson & Sheiner as Inter Occasion Variability (IOV) but I prefer BOV. You can use the different covariates for the animal to predict *systematic* changes in CL from study to study but the BOV describes the *random* variability about the mean (covariate adjusted) CL for that individual.
The code for describing Between Subject Variability (BSV) and BOV for CL could be like the following. OCC is a data item that indicates the occasion of the study e.g OCC=1 would be all concs and doses on study occasion 1 and OCC=2 would be all concs and doses on study occasion 2, etc. The $OMEGA BLOCK(1) SAME record allows the ETA to be different for each occasion for an in individual but ensures that all ETAs are sampled from a distribution with the same SD. It is not possible to identify BOV without this constraint.
$INPUT TIME OCC AMT DV
$THETA 1 ; CL
$OMEGA BLOCK(1) .25 ;Occ 1
$OMEGA BLOCK(1) SAME ;Occ 2
; Repeat the $OMEGA BLOCK(1) SAME record for each occasion after the first
$OMEGA .5 ; BSVCL
$PK
IF (OCC.EQ.1) THEN
BOV=ETA(1)
ENDIF
IF (OCC.EQ.2) THEN
BOV=ETA(2)
ENDIF
; Repeat above IF/ENDIF block for each occasion
BSV=ETA(1)
CL=THETA(1)*EXP(BSV+BOV)
Karlsson, M. O. Sheiner, L. B. The importance of modeling interoccasion variability in population pharmacokinetic analyses. J Pharmacokin Biopharm 1993; 21:735-50
--
Nick Holford, Dept Pharmacology & Clinical Pharmacology
University of Auckland, Private Bag 92019, Auckland, New Zealand
email:n.holford@auckland.ac.nz tel:+64(9)373-7599x6730 fax:373-7556
http://www.phm.auckland.ac.nz/Staff/NHolford/nholford.htm