No. of parameters estimated

2 messages 2 people Latest: Aug 17, 2007

No. of parameters estimated

From: Navin Goyal Date: August 17, 2007 technical
Dear NM Users, I have been trying to do a POPPK run using nonmem VI. The part of my control stream is pasted below.... $SUBROUTINE ADVAN6 TRANS1 TOL=3 $MODEL COMP=(DEPOT,DEFDOSE); COMP=(CENTRAL);PLASMA COMP=(PERIPH);PERIPHERAL $PK TVF1=THETA(1) F1=TVF1*EXP(ETA(1)) TVCL=THETA(2) CL=TVCL*EXP(ETA(2)) TVV2=THETA(3);vol of dist of drug V2=TVV2*EXP(ETA(3)) K20=TVCL/TVV2 K23=(THETA(6)+THETA(4))+EXP(ETA(4)); K32=THETA(5)+EXP(ETA(5)) TVK12=THETA(6);Abso constant K12=TVK12+EXP(ETA(6)) S2=V2; OUTPUT IN ng/ml and dose in micrograms $ERROR IPRED=F IRES=DV-IPRED DEL=0 IF (IPRED.EQ.0) DEL=1 IWRE=(1-DEL)*IRES/(IPRED+DEL) Y=F+F*ERR(1);+ERR(2) $DES DADT(1)=-K12*A(1) DADT(2)=K12*A(1)-K20*A(2)-K23*A(2)+K32*A(3) DADT(3)=K23*A(2)-K32*A(3) $THETA (0.1,0.3,0.7);F (46 FIXED);CL (0,25,200);V2 (0.01,0.1,10);K23 (0.01,0.1,10);K32 (0.01,0.1,2);K12 $OMEGA $SIGMA $ESTIMATION METHOD=1 SIGDIGITS=5 INTERACTION MAXEVAL=9999 PRINT=10 POSTHOC $COV MATRIX=S The model is very sensitive to the initial estimates and when I bootstrapped the model about half of the runs failed to minimize. Also the variability asssociated with parameter estimates is very high. The data is from 11 subjects and has high variability. I tried various models, including using FO Method. Am I trying to estimate more parameters (like KA, F, Vd, K23, K32) with very limited information ? or is it model misspecification... Or should I fix other parameters like Vd from IV data. (here I have fixed Cl from IV data...when I dont not fix CL , the nonmem estimates very small values of CL ... in decimals) Any input is appreciated......... Thanks -- --Navin

RE: No. of parameters estimated

From: Malaz Abutarif Date: August 17, 2007 technical
Navin, I think you have too many parameters to be estimated from a very small dataset. You are trying to estimate 6 Etas and 5 Thetas and you only have 11 patients. Please see in the NonMem archive the discussion about the "rule of thumb" being thrown around about the minimum size of the dataset needed for parameter estimation. It's not completely scientific but it gives you a reasonable idea where to start. I prefer simulation to design a pop PK study but started to use this rule of thumb to get a "rough" idea about how complex I can make the model to fit the data I have. It definitely is a good starting point. Below is a copy/paste of an email from Mark Sale on Jan 25, 2007. It was followed (see archive) by an "interesting" discussion. Rule of thumb that I found in a guideline when I arrived at Glaxo (Wellcome) at the time. I think it came from Elion Fuseau, at least she was the author of the document. minimum 20 samples per parameter (thetas, omegas and sigmas) - so, for 8 parameters (5 basic parameters, k,v,ka,k32,k23, 2 omegas, 1 sigma = your 160 samples) minimum 10 patients per eta if data at good, more if data are noisy seems reasonably to me. But, the usual rules to define pk models - 3 terminal half lifes. I think Steve Dufful has some software as well. -----Original Message-----
Quoted reply history
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf Of navin goyal Sent: Friday, August 17, 2007 1:28 PM To: nmusers Subject: [NMusers] No. of parameters estimated - Dear NM Users, I have been trying to do a POPPK run using nonmem VI. The part of my control stream is pasted below.... $SUBROUTINE ADVAN6 TRANS1 TOL=3 $MODEL COMP=(DEPOT,DEFDOSE) COMP=(CENTRAL);PLASMA COMP=(PERIPH);PERIPHERAL $PK TVF1=THETA(1) F1=TVF1*EXP(ETA(1)) TVCL=THETA(2) CL=TVCL*EXP(ETA(2)) TVV2=THETA(3);vol of dist of drug V2=TVV2*EXP(ETA(3)) K20=TVCL/TVV2 K23=(THETA(6)+THETA(4))+EXP(ETA(4)); K32=THETA(5)+EXP(ETA(5)) TVK12=THETA(6);Abso constant K12=TVK12+EXP(ETA(6)) S2=V2; OUTPUT IN ng/ml and dose in micrograms $ERROR IPRED=F Y=F+F*ERR(1);+ERR(2) $DES DADT(1)=-K12*A(1) DADT(2)=K12*A(1)-K20*A(2)-K23*A(2)+K32*A(3) DADT(3)=K23*A(2)-K32*A(3) $THETA (0.1,0.3,0.7);F (46 FIXED);CL (0,25,200);V2 (0.01,0.1,10);K23 (0.01,0.1,10);K32 (0.01,0.1,2);K12 $OMEGA $SIGMA $ESTIMATION METHOD=1 SIGDIGITS=5 INTERACTION MAXEVAL=9999 PRINT=10 POSTHOC $COV MATRIX=S The model is very sensitive to the initial estimates and when I bootstrapped the model about half of the runs failed to minimize. Also the variability asssociated with parameter estimates is very high. The data is from 11 subjects and has high variability. I tried various models, including using FO Method. Am I trying to estimate more parameters (like KA, F, Vd, K23, K32) with very limited information ? or is it model misspecification... Or should I fix other parameters like Vd from IV data. (here I have fixed Cl from IV data...when I dont not fix CL , the nonmem estimates very small values of CL ... in decimals) Any input is appreciated......... Thanks -- -- --Navin ********************************************************************* This message and any attachments are solely for the intended recipient. If you are not the intended recipient, disclosure, copying, use or distribution of the information included in this message is prohibited -- Please immediately and permanently delete.