Re: Piece-wise PD model

From: Ekaterina Gibiansky Date: June 23, 2010 technical Source: mail-archive.com
Brendan, The implementation of your piece-wise model is not correct. It should be EFFECT=AEFF*SLOPE1 IF( AEFF.GT.CHANGE ) EFFECT=CHANGE*SLOPE1+( AEFF - CHANGE )*SLOPE2 Regards, Katya Ekaterina Gibiansky, Ph.D. CEO&CSO, QuantPharm LLC Web: www.quantpharm.com Email: EGibiansky at quantpharm.com Tel: (301)-717-7032
Quoted reply history
On 6/23/2010 10:20 AM, Brendan Johnson wrote: NMusers, In a somewhat similar theme to Hauke’s post, I am having an issue with conditional assignment statements in $ERROR. I am trying to fit a piece-wise PD model for a KPD system. A linear PD model is ok, but saturating models, while I expect these to provide a better fit, converge with parameters that essentially replicate a linear model (tried Emax, Power, Exponential). My last ditch attempt was to try a piece-wise model, with 2 linear slopes, estimating the change point. Something like this $PK … CHANGE=THETA(.) SLOPE1=THETA(.) SLOPE2=THETA(.) … $ERROR A(.)=AEFF ;amount in effect compartment IF(AEFF.LT.CHANGE) THEN SLOPE=SLOPE1 ELSE SLOPE=SLOPE2 ENDIF EFFECT=AEFF*SLOPE I always find minimization is terminated early, and the gradient for CHANGE is zero at first iteration. The gradient does have a value at subsequent iterations, but the final estimate of CHANGE (at termination anyway) is usually not far off the initial estimate…I suspect it is not actually being estimated, just floating a bit. Even if I fix CHANGE to a reasonable value, I see minimization is terminated early. Is there some trick I am missing here? or is it not possible to estimate a parameter within a conditional assignment statement in $ERROR? (seems like you can do this in $PK when a covariate or time is used in the IF statement) Thanks for any help, Brendan Johnson GlaxoSmithKline, RTP No virus found in this incoming message. Checked by AVG - www.avg.com Version: 9.0.829 / Virus Database: 271.1.1/2956 - Release Date: 06/22/10 14:36:00 No virus found in this outgoing message. Checked by AVG - www.avg.com Version: 9.0.829 / Virus Database: 271.1.1/2956 - Release Date: 06/22/10 14:36:00
Jun 23, 2010 Brendan Johnson Piece-wise PD model
Jun 23, 2010 Ekaterina Gibiansky Re: Piece-wise PD model