This is interesting overshoot problem. As the infusion on/off causes the solver discontinuity problem, the discontinuity will produce the overshoot. Please find a good report from MIT in the link: https://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/readings/supp_notes/MIT18_03S10_sup.pdf “Notice the “overshoot” near the discontinuities. “ at Page 77
We have nice solutions from Phoenix to handle the discontinuity issues. Kevin From: [email protected] [mailto:[email protected]] On Behalf Of Kyle Baron Sent: Friday, May 4, 2018 1:21 PM To: Leonid Gibiansky <[email protected]> Cc: Paolo Denti <[email protected]>; Bob Leary <[email protected]>; [email protected] Subject: Re: [NMusers] Cmax/Tmax in the DES block Here is some code to reproduce / demonstrate the observation in R: https://github.com/metrumresearchgroup/mrgsolve/issues/369 I think it captures the essence of what you were doing, Leonid. The comparison against the analytical solution just shows that the ODEs are still giving the right answer (the overshoot isn't wrong; just a feature of the solver). Kyle On Fri, May 4, 2018 at 12:15 PM, Leonid Gibiansky <[email protected]<mailto:[email protected]>> wrote: Interesting links. So looks like one can provide tcrit=TIME (where TIME is the next EVENT time) to LSODA, and this will fix the over-shoot problem (as in ITASK=4). I wonder whether ADVAN13 and ADVAN6 use different settings for tcrit (or the difference in the results is just the difference in the amount of over-shooting) Leonid On 5/4/2018 12:58 PM, Kyle Baron wrote: I agree with Paolo's explanation, but I suspect it isn't something specific to NONMEM. When LSODA integrates up to the time of the end of the infusion, there is no guarantee that it will never go past that time. Rather, it's likely that it will "overshoot" that time and interpolate back to the place where it was supposed to stop (the end of the infusion). That might be why Leonid is seeing the bias. I couldn't find the docs that specifically discuss this, but maybe NONMEM uses ITASK 1 when it advances the system? https://github.com/metrumresearchgroup/mrgsolve/blob/master/src/opk_dlsoda_mrg.f#L378-L381 You can also see the overshoot discussed in the deSolve docs: https://www.rdocumentation.org/packages/deSolve/versions/1.20/topics/lsoda (see the tcrit argument) Kyle On Fri, May 4, 2018 at 11:03 AM, Paolo Denti <[email protected]<mailto:[email protected]> <mailto:[email protected]<mailto:[email protected]>>> wrote: Dear all, Very interesting, just adding my two cents, but not sure it's 100% relevant. When I played with ADVAN13 before and asked NONMEM to print out all the steps in a file, I could see that the time (T) was not always going forward, but sometimes NONMEM was taking some steps back in time and then proceeding again. Not sure if this is because of how LSODA is implemented in NONMEM. I remember - but I am happy to stand corrected - that some DES work in such a way that they rework the size of the time steps dynamically when they solve the ODEs and if the TOL (precision) criterion is not met, they go back and retry with a small step size. So I was thinking that maybe the difference in Cmax could be from one of those "faux pas" when NONMEM has overshot the solution and then it would take a step back? Just an idea on something to check. But I guess the NONMEM developers may have a quick answer to this one (hint hint). Paolo On 2018/05/04 17:32, Leonid Gibiansky wrote: The procedure described in the original post is working without extra points. It is working fine, just have a small bias, and the bias seems to be zero with ADVAN6. For all the practical purposes it can be used without extra points. I was just surprised that it is not exact in some cases, so extra check is warranted each time when it is used (may be we can switch to ADVAN6 rather than ADVAN13 when computing Cmax/Cmin in the DES block). Latest NONMEM versions have "finedata" Utility Program that can be used to add extra points to the dataset (nm741.pdf, page 237). Leonid On 5/4/2018 11:01 AM, Bob Leary wrote: > One of the problems with all of this is that the user must manually enter artificial time points (or at least in 2007 had to do this - I don't know if this has been fixed in > The latest NM versions) in the data set in order to evaluate the fitted model over more grid points than are in the original data. > To get a fine grid and good resolution on Cmax and Tmax > You have to enter a lot of extra time points., which is a pain in the neck. The various ODE routines are also remarkably sensitive to how the grid is set up. > > Much better would be to have a grid generator within NMTRAN that lets you just specify beginning and end points and number of points in the grid. > I would point out that Phoenix NLME PML has always had this capability. > Bob Leary > > -----Original Message----- > From: [email protected]<mailto:[email protected]> <mailto:[email protected]<mailto:[email protected]>> <[email protected]<mailto:[email protected]>> <mailto:[email protected]<mailto:[email protected]>> On Behalf Of Leonid Gibiansky > Sent: Thursday, May 3, 2018 7:59 PM > To: [email protected]<mailto:[email protected]> <mailto:[email protected]<mailto:[email protected]>> > Subject: [NMusers] Cmax/Tmax in the DES block > > Interesting experience concerning computation of Cmax and Tmax (and probably other stats) in the DES block. We used to use this way: > > http://cognigencorp.com/nonmem/current/2007-December/4125.html <https://protect-za.mimecast.com/s/L8T-CAnX51ilA2ops83Si8> > > Specifically, reserved the place in the memory: > > $ABB COMRES=2 > > Set these values to zero for each new subject: > $PK > IF(NEWIND.LE.1) THEN > COM(1)=0 > COM(2)=0 > ENDIF > > and computed Cmax/TMAX as > $DES > IF(CONC.GT.COM<http://CONC.GT.COM> <http://CONC.GT.COM>(1)) THEN > COM(1)=CONC > COM(2)=T > ENDIF > > $ERROR > CMAX=COM(1) > TMAX=COM(2) > > Recently I applied the same procedure to compute Cmax following 1 hr IV infusion. Unexpectedly, Tmax was estimated at times > 1 hr, and Cmax was higher than 1-hr concentration (true Cmax is at 1 hr). > > After some experiments, the explanation was that Nonmem computes concentration-time course (with infusion ON) for longer than 1 hr, and resulting Cmax/Tmax are at the end of the "computation window" rather than at 1 hr. > > Turns out that the results also depend on ADVAN routine. The largest deviation (still small, 1-3 percents) was for ADVAN8, ADVAN9, and ADVAN13. ADVAN15 was better but still off. ADVAN14 was almost perfect but still slightly (0.01%) off. ADVAN6 provided correct answer (up to the precision of the output). So, the discrepancy is small but if 1-2% difference is important, one has to be careful when using DES block computations. > > Thanks > Leonid > > > NOTICE: The information contained in this electronic mail message is intended only for the personal and confidential > use of the designated recipient(s) named above. This message may be an attorney-client communication, may be protected > by the work product doctrine, and may be subject to a protective order. As such, this message is privileged and > confidential. If the reader of this message is not the intended recipient or an agent responsible for delivering it to > the intended recipient, you are hereby notified that you have received this message in error and that any review, > dissemination, distribution, or copying of this message is strictly prohibited. If you have received this > communication in error, please notify us immediately by telephone and e-mail and destroy any and all copies of this > message in your possession (whether hard copies or electronically stored copies). Thank you. > > buSp9xeMeKEbrUze > -- ------------------------------------------------ Paolo Denti, PhD Pharmacometrics Group Division of Clinical Pharmacology Department of Medicine University of Cape Town K45 Old Main Building Groote Schuur Hospital Observatory, Cape Town 7925 South Africa phone: +27 21 404 7719 fax: +27 21 448 1989 email:[email protected]<mailto:email%[email protected]> <mailto:[email protected]<mailto:[email protected]>> ------------------------------------------------ Disclaimer - University of Cape Town This email is subject to UCT policies and email disclaimer published on our website at http://www.uct.ac.za/main/email-disclaimer <http://www.uct.ac.za/main/email-disclaimer> or obtainable from +27 21 650 9111. If this email is not related to the business of UCT, it is sent by the sender in an individual capacity. Please report security incidents or abuse via https://csirt.uct.ac.za/page/report-an-incident.php <https://csirt.uct.ac.za/page/report-an-incident.php>. -- Kyle Baron, PharmD, PhD Senior Scientist Metrum Research Group -- Kyle Baron, PharmD, PhD Senior Scientist Metrum Research Group
