RE: time-dependent residual error models

From: Phylinda Chan Date: September 25, 2009 technical Source: mail-archive.com
Hi Nick, Being a substrate of P-gp and CYP3A4, the compound itself has a very complex absorption profile including dose non-linearity, double peaks, food effects as well as high between individual and within individual variability. Barry Weatherley has spent a substantial amount of time and effort in understanding the dose non-linearity and some covariate effects on the PK of this compound, including development of a very complex flexible input model which was presented at PKUK in 2004. More details of some of this modelling work can be found in a recent publication. http://www3.interscience.wiley.com/journal/122386172/abstract The main objective of the meta-analysis was to develop a compartmental model which would be useful in identifying significant covariates explaining inter-individual variability and was simple enough to be used in the later modelling of sparsely sampled PK in phase 2b/3 studies where a full time profile and samples were likely to be clustered in the elimination phase of the PK. We felt the first-order input with dose and food effects on Ka in addition to the time-dependent residual error model was adequate for this purpose. For those who interested in the coding of the time-dependent residual error model: $ERROR IPRED = F+.00001 LPRED = 0 IF(IPRED.GT.0) LPRED = LOG(IPRED) PMAX=THETA(7) TMAX=THETA(8) K=THETA(9) BASE=THETA(10) P=K*TMAX A=EXP(P)/TMAX**P W= PMAX*A*(TAD+.01)**P*EXP(-K*(TAD+.01))+BASE IRES= DV-LPRED IWRES= IRES/W Y= LPRED+EPS(1) * W Note: i) $SIGMA (1 FIX) ii) TAD=time after dose Phylinda.
Quoted reply history
-----Original Message----- From: [email protected] [mailto:[email protected]] On Behalf Of Nick Holford Sent: 24 September 2009 08:42 To: nmusers Subject: Re: [NMusers] time-dependent residual error models Mats, I agree with your general idea but in this particular case there is no description in the paper of efforts made to test structural models for absorption apart from first order input with dose and food effects on Ka. There seems to be quite a lot of time related structure in the residual error model function that Phylinda reported and I would have thought that at least some of this could have been explored via another structural model e.g. involving parallel or sequential zero-order inputs. It struck me as a rather unusual approach and I wondered what the reasons for it were. It does not really bother me which approach is used when describing absorption (fancy structure+vanilla residual or vanilla structure+fancy residual) because the details of the rate of absorption rarely have any clinical relevance (Justin Wilkins may want to disagree <grin>). Of course, as you point out the errors may often arise from poorly reproducible fixed effects such as timing errors etc. and thus the goal may be to describe the error adequately and not the structure because the structure is not really fixed or of any interest. Nick Mats Karlsson wrote: > Hi Nick, > > I can't answer for Phylinda, but the general idea is to build the most > appropriate structural model that is supported by data. However, after that > is done, if there still is variation in residual error magnitude one should > take that into account and not ignore it. All models are wrong, and I would > say that in general our models for absorption are more wrong than our models > for disposition. That is not just because we have focused more on the > latter, but because the underlying processes governing absorption are of a > different nature (e.g. with discrete events like food intake, gastric > emptying, bile release and formulation disintegration and movement). Further > often part of the error magnitude is from timing errors. Such errors are > more pronounced when concentrations are changing fast (normally fastest > changes in absorption phase). We wrote on time-varying residual errors (and > alternatives such as residual error magnitude related to rate of change) in > these publications: > J Pharmacokinet Biopharm. 1995 Dec;23(6):651-72. > J Pharmacokinet Biopharm. 1998 Apr;26(2):207-46 > > Best regards, > Mats > > Mats Karlsson, PhD > Professor of Pharmacometrics > Dept of Pharmaceutical Biosciences > Uppsala University > Box 591 > 751 24 Uppsala Sweden > phone: +46 18 4714105 > fax: +46 18 471 4003 > > > -----Original Message----- > From: [email protected] [mailto:[email protected]] On > Behalf Of Nick Holford > Sent: Thursday, September 24, 2009 7:46 AM > To: nmusers > Subject: Re: [NMusers] time-dependent residual error models > > Hi, > > If Phylinda reads this I'd be interested to hear why she choose to use a > plain vanilla first-order absorption model and a fancy time-dependent > residual error model rather than trying to model a fancy absorption > process with a plain vanilla residual error model? > > Nick > > Joseph Standing wrote: > >> Xiang, >> >> >> >> There is a rather elegant time-dependent residual error model >> described by Phylinda Chan et al in: >> >> BJCP, 2008;65(S1):76-85. >> >> >> >> BW, >> >> Joe >> >> > > -- Nick Holford, Professor Clinical Pharmacology Dept Pharmacology & Clinical Pharmacology University of Auckland, 85 Park Rd, Private Bag 92019, Auckland, New Zealand [email protected] tel:+64(9)923-6730 fax:+64(9)373-7090 mobile: +64 21 46 23 53 http://www.fmhs.auckland.ac.nz/sms/pharmacology/holford
Sep 22, 2009 Xiang-Qing Yu time-dependent residual error models
Sep 22, 2009 Nick Holford Re: time-dependent residual error models
Sep 23, 2009 Joseph Standing RE: time-dependent residual error models
Sep 24, 2009 Nick Holford Re: time-dependent residual error models
Sep 24, 2009 Mats Karlsson RE: time-dependent residual error models
Sep 24, 2009 Justin Wilkins Re: time-dependent residual error models
Sep 24, 2009 Justin . Wilkins Re: time-dependent residual error models
Sep 25, 2009 Phylinda Chan RE: time-dependent residual error models
Sep 29, 2009 Nick Holford Re: time-dependent residual error models
Sep 30, 2009 Nick Holford Re: time-dependent residual error models
Oct 02, 2009 Phylinda Chan RE: time-dependent residual error models
Oct 02, 2009 Nick Holford Re: time-dependent residual error models
Oct 09, 2009 Barry Weatherley Re: time-dependent residual error models
Oct 09, 2009 Nick Holford Re: time-dependent residual error models
Oct 10, 2009 Nick Holford Re: time-dependent residual error models