FO vs FOCE, sequential vs simultaneous

5 messages 5 people Latest: Dec 09, 2008

Re: FO vs FOCE, sequential vs simultaneous

From: Leonid Gibiansky Date: December 09, 2008 technical
Hi Alan, Here: http://quantpharm.com/pdf_files/PAGE_2008_Poster_1268_web.pdf I used all datasets that I had, and I was not able to find any problem where FO was superior to FOCE. Not-converged FOCE is better, in my opinion, than converged FO (although you can always check using diagnostic plots). If you cannot use FOCE due to time restrictions, it is better to use FO than just abandon modeling. Still, I would try to run the final model with FOCEI. Concerning sequential vs simultaneous: there are several points to consider, and this is usually relates to the PK-PD case. For PK-PD, the main question is the comparison of PK and PD variabilities. Usually, PK variability is smaller, and PK data are more reliable. Then, sequential modeling can be more warranted. If PK and PD variabilities are similar (both residual and inter-subject) you can use joint fit. I usually do PK first, then PK-PD, and then try to fit combined model at the very last stage. For parent-metabolite case, both sets of data are equally reliable (or not reliable), and variability is usually similar. Then the question boils down to time and convenience. Again, I usually do parent fist, then fix parameters and do metabolite, and then, if possible, do simultaneous fit. This often saves time: parent model is more simple, it can be done in standard ANDANs for 1-2 compartment models that are much quicker. You can experiment freely with random effect, covariates, residual error, etc. Joint model often needs to be solved using ADVAN5, 7 or even $DES which are more CPU-consuming. You want to do minimum number of runs here. Thus, you want to start with good parent model, and study metabolite part only. The final joint run fits all parts together. Thanks Leonid -------------------------------------- Leonid Gibiansky, Ph.D. President, QuantPharm LLC web: www.quantpharm.com e-mail: LGibiansky at quantpharm.com tel: (301) 767 5566 Xiao, Alan wrote: > Dear All, > > I know this is an old topic, too, but would like to see the statistics. > > When you have a dataset with about 10% of dense Phase II data (predose, 2, 4, > 8, and 12 hrs post dose on day 1 and at steady state, twice-daily dose regimen) > and about 90% of very sparse Phase III data (1-2 samples/patient), which method > do you prefer: FO or FOCE? or FO for model development but FOCE for model > refinement/finalization? If FOCE is not practical because of long run-time or > numerical difficulties in converge, do you stop here or would you use FO? > > Thanks, > > Alan

Re: FO vs FOCE, sequential vs simultaneous

From: Marc Gastonguay Date: December 09, 2008 technical
There's an additional, related point to consider with respect to estimation method, in selecting a simultaneous vs sequential approach.... In the case where simultaneous modeling under conditional estimation is not feasible (run-time, convergence, etc), it is preferable to use a sequential approach. In the first step, model PK (or parent) using conditional estimation or FO/POSTHOC, and run the second sequential step (e.g. PD or metabolite) conditioned on the individual estimates obtained in the first step. By doing so, the second step (PD or metabolite) model will be driven by individual conditional random effect estimates obtained the first step. This is preferable to running a simultaneous model under FO, where only the population typical values would be used to drive the second stage endpoint (PD or metabolite) model. For more on this point, see: Zhang L, Beal SL, Sheiner LB. J Pharmacokinet Pharmacodyn. 2003 Dec; 30(6):387-404. Simultaneous vs. sequential analysis for population PK/ PD data I: best-case performance. Regards, Marc Marc R. Gastonguay, Ph.D. President & CEO, Metrum Research Group LLC [www.metrumrg.com] Scientific Director, Metrum Institute [www.metruminstitute.org] Direct: 860-670-0744 Main: 860-735-7043 Email: [EMAIL PROTECTED]
Quoted reply history
On Dec 9, 2008, at 12:33 PM, Leonid Gibiansky wrote: > Hi Alan, > > Here: > > http://quantpharm.com/pdf_files/PAGE_2008_Poster_1268_web.pdf > > I used all datasets that I had, and I was not able to find any problem where FO was superior to FOCE. > > Not-converged FOCE is better, in my opinion, than converged FO (although you can always check using diagnostic plots). > > If you cannot use FOCE due to time restrictions, it is better to use FO than just abandon modeling. Still, I would try to run the final model with FOCEI. > > Concerning sequential vs simultaneous: there are several points to consider, and this is usually relates to the PK-PD case. For PK-PD, the main question is the comparison of PK and PD variabilities. Usually, PK variability is smaller, and PK data are more reliable. Then, sequential modeling can be more warranted. If PK and PD variabilities are similar (both residual and inter-subject) you can use joint fit. I usually do PK first, then PK-PD, and then try to fit combined model at the very last stage. > > For parent-metabolite case, both sets of data are equally reliable (or not reliable), and variability is usually similar. Then the question boils down to time and convenience. Again, I usually do parent fist, then fix parameters and do metabolite, and then, if possible, do simultaneous fit. This often saves time: parent model is more simple, it can be done in standard ANDANs for 1-2 compartment models that are much quicker. You can experiment freely with random effect, covariates, residual error, etc. Joint model often needs to be solved using ADVAN5, 7 or even $DES which are more CPU-consuming. You want to do minimum number of runs here. Thus, you want to start with good parent model, and study metabolite part only. The final joint run fits all parts together. > > Thanks > Leonid > > -------------------------------------- > Leonid Gibiansky, Ph.D. > President, QuantPharm LLC > web: www.quantpharm.com > e-mail: LGibiansky at quantpharm.com > tel: (301) 767 5566 > > Xiao, Alan wrote: > > > Dear All, > > > > I know this is an old topic, too, but would like to see the statistics. When you have a dataset with about 10% of dense Phase II data (predose, 2, 4, 8, and 12 hrs post dose on day 1 and at steady state, twice-daily dose regimen) and about 90% of very sparse Phase III data (1-2 samples/patient), which method do you prefer: FO or FOCE? or FO for model development but FOCE for model refinement/finalization? If FOCE is not practical because of long run-time or numerical difficulties in converge, do you stop here or would you use FO? > > > > Thanks, > > Alan

RE: FO vs FOCE, sequential vs simultaneous

From: Kenneth Kowalski Date: December 09, 2008 technical
The method that Marc describes is labeled the PPP&D method in the Zhang et al paper below. With this approach you set up the model just as if you were going to do a simultaneous fit (that is the dataset contains DVs for both the PK and PD (or metabolite)) but all of the population PK parameters (thetas, omegas and sigmas) are fixed at the estimates from a separate model fit to the PK (or parent) data alone (i.e., the first sequential step). As Marc suggests, if you use FOCE in the second sequential step the model will be driven by the individual conditional random effects obtained from the first step since the PK data is included along with the PD data (or metabolite) in the data file. I have had a lot of success using this approach and it can certainly cut down on run-time as compared to the simultaneous model fit. Regards, Ken
Quoted reply history
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf Of Gastonguay, Marc Sent: Tuesday, December 09, 2008 1:56 PM To: Gibiansky Leonid; Xiao, Alan; Hussein, Ziad; nmusers nmusers Subject: Re: [NMusers] FO vs FOCE, sequential vs simultaneous There's an additional, related point to consider with respect to estimation method, in selecting a simultaneous vs sequential approach.... In the case where simultaneous modeling under conditional estimation is not feasible (run-time, convergence, etc), it is preferable to use a sequential approach. In the first step, model PK (or parent) using conditional estimation or FO/POSTHOC, and run the second sequential step (e.g. PD or metabolite) conditioned on the individual estimates obtained in the first step. By doing so, the second step (PD or metabolite) model will be driven by individual conditional random effect estimates obtained the first step. This is preferable to running a simultaneous model under FO, where only the population typical values would be used to drive the second stage endpoint (PD or metabolite) model. For more on this point, see: Zhang L, Beal SL, Sheiner LB. J Pharmacokinet Pharmacodyn. 2003 Dec;30(6):387-404. Simultaneous vs. sequential analysis for population PK/PD data I: best-case performance. Regards, Marc Marc R. Gastonguay, Ph.D. President & CEO, Metrum Research Group LLC [www.metrumrg.com] Scientific Director, Metrum Institute [www.metruminstitute.org] Direct: 860-670-0744 Main: 860-735-7043 Email: [EMAIL PROTECTED] On Dec 9, 2008, at 12:33 PM, Leonid Gibiansky wrote: Hi Alan, Here: http://quantpharm.com/pdf_files/PAGE_2008_Poster_1268_web.pdf I used all datasets that I had, and I was not able to find any problem where FO was superior to FOCE. Not-converged FOCE is better, in my opinion, than converged FO (although you can always check using diagnostic plots). If you cannot use FOCE due to time restrictions, it is better to use FO than just abandon modeling. Still, I would try to run the final model with FOCEI. Concerning sequential vs simultaneous: there are several points to consider, and this is usually relates to the PK-PD case. For PK-PD, the main question is the comparison of PK and PD variabilities. Usually, PK variability is smaller, and PK data are more reliable. Then, sequential modeling can be more warranted. If PK and PD variabilities are similar (both residual and inter-subject) you can use joint fit. I usually do PK first, then PK-PD, and then try to fit combined model at the very last stage. For parent-metabolite case, both sets of data are equally reliable (or not reliable), and variability is usually similar. Then the question boils down to time and convenience. Again, I usually do parent fist, then fix parameters and do metabolite, and then, if possible, do simultaneous fit. This often saves time: parent model is more simple, it can be done in standard ANDANs for 1-2 compartment models that are much quicker. You can experiment freely with random effect, covariates, residual error, etc. Joint model often needs to be solved using ADVAN5, 7 or even $DES which are more CPU-consuming. You want to do minimum number of runs here. Thus, you want to start with good parent model, and study metabolite part only. The final joint run fits all parts together. Thanks Leonid -------------------------------------- Leonid Gibiansky, Ph.D. President, QuantPharm LLC web: www.quantpharm.com e-mail: LGibiansky at quantpharm.com tel: (301) 767 5566 Xiao, Alan wrote: Dear All, I know this is an old topic, too, but would like to see the statistics. When you have a dataset with about 10% of dense Phase II data (predose, 2, 4, 8, and 12 hrs post dose on day 1 and at steady state, twice-daily dose regimen) and about 90% of very sparse Phase III data (1-2 samples/patient), which method do you prefer: FO or FOCE? or FO for model development but FOCE for model refinement/finalization? If FOCE is not practical because of long run-time or numerical difficulties in converge, do you stop here or would you use FO? Thanks, Alan

RE: FO vs FOCE, sequential vs simultaneous

From: Mats Karlsson Date: December 09, 2008 technical
Dear Marc, On a small detail, "This is preferable to running a simultaneous model under FO, where only the population typical values would be used to drive the second stage endpoint (PD or metabolite) model" It is not entirely true that only the population typical values would be used to derive the second stage endpoint model. You can easily convince yourself about this by doing such an analysis with and without the PK data (even when fixing the pop PK parameters). The FO objective function does recognize information in all data within an individual, even across variables when these share parameters (as PK and PD data does). Therefore the advantage of using sequential will not be as large (if advantageous at all) compared to sequential for FO. 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
Quoted reply history
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf Of Gastonguay, Marc Sent: Tuesday, December 09, 2008 7:56 PM To: Gibiansky Leonid; Xiao, Alan; Hussein, Ziad; nmusers nmusers Subject: Re: [NMusers] FO vs FOCE, sequential vs simultaneous There's an additional, related point to consider with respect to estimation method, in selecting a simultaneous vs sequential approach.... In the case where simultaneous modeling under conditional estimation is not feasible (run-time, convergence, etc), it is preferable to use a sequential approach. In the first step, model PK (or parent) using conditional estimation or FO/POSTHOC, and run the second sequential step (e.g. PD or metabolite) conditioned on the individual estimates obtained in the first step. By doing so, the second step (PD or metabolite) model will be driven by individual conditional random effect estimates obtained the first step. This is preferable to running a simultaneous model under FO, where only the population typical values would be used to drive the second stage endpoint (PD or metabolite) model. For more on this point, see: Zhang L, Beal SL, Sheiner LB. J Pharmacokinet Pharmacodyn. 2003 Dec;30(6):387-404. Simultaneous vs. sequential analysis for population PK/PD data I: best-case performance. Regards, Marc Marc R. Gastonguay, Ph.D. President & CEO, Metrum Research Group LLC [www.metrumrg.com] Scientific Director, Metrum Institute [www.metruminstitute.org] Direct: 860-670-0744 Main: 860-735-7043 Email: [EMAIL PROTECTED] On Dec 9, 2008, at 12:33 PM, Leonid Gibiansky wrote: Hi Alan, Here: http://quantpharm.com/pdf_files/PAGE_2008_Poster_1268_web.pdf I used all datasets that I had, and I was not able to find any problem where FO was superior to FOCE. Not-converged FOCE is better, in my opinion, than converged FO (although you can always check using diagnostic plots). If you cannot use FOCE due to time restrictions, it is better to use FO than just abandon modeling. Still, I would try to run the final model with FOCEI. Concerning sequential vs simultaneous: there are several points to consider, and this is usually relates to the PK-PD case. For PK-PD, the main question is the comparison of PK and PD variabilities. Usually, PK variability is smaller, and PK data are more reliable. Then, sequential modeling can be more warranted. If PK and PD variabilities are similar (both residual and inter-subject) you can use joint fit. I usually do PK first, then PK-PD, and then try to fit combined model at the very last stage. For parent-metabolite case, both sets of data are equally reliable (or not reliable), and variability is usually similar. Then the question boils down to time and convenience. Again, I usually do parent fist, then fix parameters and do metabolite, and then, if possible, do simultaneous fit. This often saves time: parent model is more simple, it can be done in standard ANDANs for 1-2 compartment models that are much quicker. You can experiment freely with random effect, covariates, residual error, etc. Joint model often needs to be solved using ADVAN5, 7 or even $DES which are more CPU-consuming. You want to do minimum number of runs here. Thus, you want to start with good parent model, and study metabolite part only. The final joint run fits all parts together. Thanks Leonid -------------------------------------- Leonid Gibiansky, Ph.D. President, QuantPharm LLC web: www.quantpharm.com e-mail: LGibiansky at quantpharm.com tel: (301) 767 5566 Xiao, Alan wrote: Dear All, I know this is an old topic, too, but would like to see the statistics. When you have a dataset with about 10% of dense Phase II data (predose, 2, 4, 8, and 12 hrs post dose on day 1 and at steady state, twice-daily dose regimen) and about 90% of very sparse Phase III data (1-2 samples/patient), which method do you prefer: FO or FOCE? or FO for model development but FOCE for model refinement/finalization? If FOCE is not practical because of long run-time or numerical difficulties in converge, do you stop here or would you use FO? Thanks, Alan

Re: FO vs FOCE, sequential vs simultaneous

From: Nick Holford Date: December 09, 2008 technical
Leonid, Thanks very much for this experimental data support confirming again the wisdom of using FOCE rather than FO and not worrying about convergence. Nick Leonid Gibiansky wrote: > Hi Alan, > > Here: > > http://quantpharm.com/pdf_files/PAGE_2008_Poster_1268_web.pdf > > I used all datasets that I had, and I was not able to find any problem where FO was superior to FOCE. > > Not-converged FOCE is better, in my opinion, than converged FO (although you can always check using diagnostic plots). > > If you cannot use FOCE due to time restrictions, it is better to use FO than just abandon modeling. Still, I would try to run the final model with FOCEI. > > Concerning sequential vs simultaneous: there are several points to consider, and this is usually relates to the PK-PD case. For PK-PD, the main question is the comparison of PK and PD variabilities. Usually, PK variability is smaller, and PK data are more reliable. Then, sequential modeling can be more warranted. If PK and PD variabilities are similar (both residual and inter-subject) you can use joint fit. I usually do PK first, then PK-PD, and then try to fit combined model at the very last stage. > > For parent-metabolite case, both sets of data are equally reliable (or not reliable), and variability is usually similar. Then the question boils down to time and convenience. Again, I usually do parent fist, then fix parameters and do metabolite, and then, if possible, do simultaneous fit. This often saves time: parent model is more simple, it can be done in standard ANDANs for 1-2 compartment models that are much quicker. You can experiment freely with random effect, covariates, residual error, etc. Joint model often needs to be solved using ADVAN5, 7 or even $DES which are more CPU-consuming. You want to do minimum number of runs here. Thus, you want to start with good parent model, and study metabolite part only. The final joint run fits all parts together. > > Thanks > Leonid > > -------------------------------------- > Leonid Gibiansky, Ph.D. > President, QuantPharm LLC > web: www.quantpharm.com > e-mail: LGibiansky at quantpharm.com > tel: (301) 767 5566 > > Xiao, Alan wrote: > > > Dear All, > > > > I know this is an old topic, too, but would like to see the statistics. > > > > When you have a dataset with about 10% of dense Phase II data (predose, 2, 4, 8, and 12 hrs post dose on day 1 and at steady state, twice-daily dose regimen) and about 90% of very sparse Phase III data (1-2 samples/patient), which method do you prefer: FO or FOCE? or FO for model development but FOCE for model refinement/finalization? If FOCE is not practical because of long run-time or numerical difficulties in converge, do you stop here or would you use FO? > > > > Thanks, > > > > Alan -- Nick Holford, 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 http://www.fmhs.auckland.ac.nz/sms/pharmacology/holford