RE: Scaling for pediatric study planning

From: Xiaofeng . Wang Date: September 23, 2008 technical Source: mail-archive.com
Besides all the valuable suggestions/opinions raised in the discussion, there is another point that need to keep in mind in scaling: the unit used in the parameters. For example, if the absorption rate constant is 1/hr, this absorption rate is the total mass transfer through the membrane at the absorption site per unit time. Therefore, the size of the body matters. If the abosrption rate is 1/hr/cm2 (for example), then the rate is independent to the body size Xiaofeng Wang, PhD Oncology, Novartis (862)778-8856 (o) "Masoud Jamei" <[EMAIL PROTECTED]> Sent by: [EMAIL PROTECTED] 09/20/2008 12:07 PM To "nmusers" <[email protected]> cc Subject RE: [NMusers] Scaling for pediatric study planning Dear Nick Many thanks for your comments. The two years of age is an estimated post-natal age when most of the CYP enzymes, serum albumin level and also, to some extent, the body composition reach those of adults and the incorporation of maturation changes improved the predictions (the same previous paper). Of course everybody agrees that children are not like test tubes nor should they be modelled as one-, two- compartmental models. On the other hand, test tube data can provide very valuable knowledge about compounds that should be mechanistically incorporated into our models (e.g. whether a compound get metabolised by CYP2D6, its extent and the likelihood of polymorphism can be determined using in vitro data). As you once said at one of the PAGE meetings, it is not possible to imagine a case where weight doesn?t play a role, however this is sometimes taken out of the context and interpreted as ?weight is the only player?. Then we tend to model everything using only weight even enzyme/receptor affinity or absorption rate. We are in full agreement that the age and size should be integrated to be able to make sensible predictions and for that reason these two are the fundamental elements in our ?bottom-up? approach but not the only ones. It is generally accepted that the metabolic clearance is proportional to the size of the liver and based on more than 5000 data point a good equation for predicting the size of the liver is developed (Johnson TN, Tucker GT, Tanner MS, et al. Changes in liver volume from birth to adulthood: a meta-analysis. Liver Transpl 2005 Dec; 11(12):1481-93 ? freely available at: http://dx.doi.org/10.1002/lt.20519). However, the size of the liver is again not the only determinant of the metabolic clearance and we need to take into account other relevant covariates such as the enzyme abundances in the liver, blood flow, plasma protein biding and the haematocrite level which can be altered by polymorphism, ethnicity, disease states, etc. For instance, ignoring renal function maturation can simply bring about incorrect conclusions: ( http://www.nature.com/doifinder/10.1038/sj.clpt.6100327). I see lots of common grounds between the ?bottom-up? and ?top-down? approaches and do not consider these two as competing but complementary approaches (last few slides of http://www.emea.europa.eu/pdfs/conferenceflyers/paediatric/19rostami.pdf show and example of the consistency between the two approaches). Our argument is, let's mechanistically incorporate our collective knowledge from all reliable sources as much as and whenever possible into physiologically based models and use empirical models only when there is not any other alternatives. Yours Sincerely Masoud PS: I'd greatly appreciate receiving a print out of the Rhodin et al paper whenever it is out please. Masoud Jamei, PhD, SMIEEE Senior Scientific Advisor, Head of M&S Honorary Lecturer, School of Medicine, University of Sheffield Simcyp Limited Blades Enterprise Centre, John Street, Sheffield, S2 4SU, UK Tel +44 (0) 114 292 2327 Fax +44 (0) 114 292 2333 www.simcyp.com real solutions from virtual populations
Quoted reply history
-----Original Message----- From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf Of Nick Holford Sent: 19 September 2008 23:11 To: nmusers Subject: Re: [NMusers] Scaling for pediatric study planning Masoud, I dont know of any good reason to introduce an arbitrary cut-off above age 2 years for the usefulness of allometric scaling. Allometric theory is applicable from single cells to very large multicellular organisms. It should be expected to explain the size related changes in PK throughout life beginning from conception. As you point out there are major maturational changes, in addition to size, which need to be considered and indeed these effects can be comparable to those of size in young children (less than 1 year of age). The empirical models used to describe maturation in Johnson et al. 2006 are somewhat limited because they use post-natal age rather than biological age to describe changes of in vitro enzyme activity. They also rely on the assumption that children are like test tubes. While it is can be debated if children are just small adults it seems less likely they are big test tubes. Alternative top-down approaches (i.e. based on intact humans not test tubes), while still being empirical for the description of maturation, do at least allow plausible extrapolation from conception to the fully mature adult because they use post-menstrual age in combination with allometric scaling for size at all ages (see references). An important practical application of an integrated age and size approach is the ability to make sensible predictions of drug clearance in young children when, as is usually the case, there is no reliable data available. When making extrapolations it is best to rely on mechanism based theory whenever possible but when forced to be empirical (all maturation models) then at least the model should extrapolate in a sensible way. Best wishes, Nick 1. Tod M, Lokiec F, Bidault R, De Bony F, Petitjean O, Aujard Y. Pharmacokinetics of oral acyclovir in neonates and in infants: a population analysis. Antimicrob Agents Chemother. 2001;45(1):150-7. 2. Allegaert K, de Hoon J, Verbesselt R, Naulaers G, Murat I. Maturational pharmacokinetics of single intravenous bolus of propofol. Paediatr Anaesth. 2007;17(11):1028-34. 3. Anderson BJ, Allegaert K, Van den Anker JN, Cossey V, Holford NH. Vancomycin pharmacokinetics in preterm neonates and the prediction of adult clearance. Br J Clin Pharmacol. 2007;63(1):75-84. 4. Anand KJS, Anderson BJ, Holford NHG, Hall RW, Young T, Barton BA. Morphine Pharmacokinetics and Pharmacodynamics in Preterm Neonates: Secondary Results from the NEOPAIN Multicenter Trial Br J Anaesth. 2008;Epub. 5. Potts AL, Warman GR, Anderson BJ. Dexmedetomidine disposition in children: a population analysis. Paediatr Anaesth. 2008;18(8):722-30. 6. Rhodin MM, Anderson BJ, Peters AM, Coulthard MG, Wilkins B, Cole M, et al. Human renal function maturation ? a quantitative description using weight and postmenstrual age. Pediatr Nephrol. 2008. In Press. Masoud Jamei wrote: > I can't agree more with Jeff's comments that we should "pursue more > physiologic expressions" and this is a "place where "bottom-up" approaches" > are advantageous. > > The allometric scaling may be useful for children older than 2 years but for > younger subjects surely the developmental factors should be considered as > explained in: Johnson TN, Rostami-Hodjegan A and Tucker GT (2006) Prediction > of the clearance of eleven drugs and associated variability in neonates, > infants and children. Clin Pharmacokinet 45:931-956. > > Regards > Masoud > > >> -----Original Message----- >> From: [EMAIL PROTECTED] [mailto:owner- >> [EMAIL PROTECTED] On Behalf Of Jeffrey Barrett >> Sent: 19 September 2008 16:54 >> To: [EMAIL PROTECTED]; [EMAIL PROTECTED] >> Cc: [email protected] >> Subject: Re: [NMusers] Scaling for pediatric study planning >> >> Leonid / Joachim, >> >> I think we're pushing the envelope on empiricism here. Two facts of >> reality prevail here: >> >> 1) we seldom collect enough data during the absorption phase to assess >> any meaningful age/developmental dependencies across the age continuum. >> The fisrt-order assumption is always bad even in adults but we live >> with it because we seldom have absorption as a primary phase of >> interest. >> >> 2) a physiologic approach, in addition to a more fundamental >> approximation of reality also has more options with respect to >> functional expressions that can accomodate developmental factors such >> as changes in pH dependency, the surface area of the GI tract, or the >> site and expression of presystemic P450 enzymes all of which factor >> into the size surrogacy issue. >> >> Hence, I'm not sure that I would consider the allometric >> characterization of absorption in the same manner as one would treat CL >> or V considerations as it is indeed a hybrid process. I will defer to >> Nick's wisdom on this but if I am pressed for a guess, I would not >> scale but pursue more physiologic expressions. In actuality, this is a >> place where "bottom-up" approaches would seem to have a decided >> advantage. >> >> Jeff >> >> >> >> Jeffrey S. Barrett, Ph.D., FCP >> Research Associate Professor, Pediatrics Director, Pediatric >> Pharmacology Research Unit, Laboratory for Applied PK/PD Clinical >> Pharmacology & Therapeutics Abramson Research Center, Rm 916H The >> Children's Hospital of Philadelphia >> 3615 Civic Center Blvd. >> Philadelphia, PA 19104 >> >> KMAS (Kinetic Modeling & Simulation) >> Institute for Translational Medicine >> University of Pennsylvania >> email: [EMAIL PROTECTED] >> Ph: (267) 426-5479 >> >> >>>>> Leonid Gibiansky <[EMAIL PROTECTED]> 9/19/2008 11:20 AM >>>>> >>>>> >> Just to add: >> >> c) how do we allometrically scale a VM rate constant of the Michaelis- >> Menten elimination model: >> >> C1=A(1)/V1 >> DADT(1)= ... -A(1)*VM/(KM+C1) >> >> d) do we need to allometrically scale a KM constant of the Michaelis- >> Menten elimination model ? >> >> any experience with these quantities (for example, if they were >> estimated, what were the estimates, with the precision)? >> >> >> My suggestion would be NOT to scale a), b) and d), and scale VM as the >> >> rate constant (~ WT**(-0.25)) but I do not have "rock-solid" data to >> support those suggestions. >> >> Leonid >> -------------------------------------- >> Leonid Gibiansky, Ph.D. >> President, QuantPharm LLC >> web: www.quantpharm.com >> e-mail: LGibiansky at quantpharm.com >> tel: (301) 767 5566 >> >> >> >> >> [EMAIL PROTECTED] wrote: >> >>> Dear NM_Users, >>> >>> we have all been good students and listened to Nick when he told us >>> again and again the rock-solid truths of allometry: >>> >>> Volume: *(WT/70) >>> >>> CL: *(WT/70)**0.75 >>> >>> any rate constant related to distribution or elimination: >>> >> *(WT/70)**(-0.25) >> >>> Here my questions: >>> a) how do we allometrically scale a first-order rate constant of >>> absorption after oral dosing? >>> >>> b) how do we allometrically scale a first-order rate constant of >>> absorption from a subcutaneous injection site? >>> >>> Thank you for your thoughts, >>> >>> Joachim >>> >>> __________________________________________ >>> Joachim GREVEL, Ph.D. >>> MERCK SERONO International S.A. >>> Exploratory Medicine >>> 1202 Geneva >>> Tel: +41.22.414.4751 >>> Fax: +41.22.414.3059 >>> Email: [EMAIL PROTECTED] >>> >>> >>> >> ----------------------------------------------------------------------- >> - >> >>> This message and any attachment are confidential, may be privileged >>> >> or >> >>> otherwise protected from disclosure and are intended only for use by >>> >> the >> >>> addressee(s) named herein. If you are not the intended recipient, you >>> >>> must not copy this message or attachment or disclose the contents to >>> >> any >> >>> other person. If you have received this transmission in error, please >>> >>> notify the sender immediately and delete the message and any >>> >> attachment >> >>> from your system.
Sep 19, 2008 Joachim Grevel Scaling for pediatric study planning
Sep 19, 2008 Joachim . Grevel Scaling for pediatric study planning
Sep 19, 2008 Leonid Gibiansky Re: Scaling for pediatric study planning
Sep 19, 2008 Jeffrey Barrett Re: Scaling for pediatric study planning
Sep 19, 2008 Joseph Standing RE: Scaling for pediatric study planning
Sep 19, 2008 Paul Hutson Re: Scaling for pediatric study planning
Sep 19, 2008 Masoud Jamei RE: Scaling for pediatric study planning
Sep 19, 2008 Diane Mould RE: Scaling for pediatric study planning
Sep 19, 2008 Nick Holford Re: Scaling for pediatric study planning
Sep 20, 2008 Masoud Jamei RE: Scaling for pediatric study planning
Sep 20, 2008 Nick Holford Re: Scaling for pediatric study planning
Sep 21, 2008 Nick Holford Re: Scaling for pediatric study planning
Sep 23, 2008 Xiaofeng Wang RE: Scaling for pediatric study planning
Sep 23, 2008 Xiaofeng . Wang RE: Scaling for pediatric study planning