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      Scaling clearance in paediatric pharmacokinetics: All models are wrong, which are useful?

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          Abstract

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          This article is commented on in the editorial by Holford NHG and Anderson BJ. Why standards are useful for predicting doses. Br J Clin Pharmacol 2017; 83: 685–7. doi: 10.1111/bcp.13230

          Aim

          When different models for weight and age are used in paediatric pharmacokinetic studies it is difficult to compare parameters between studies or perform model‐based meta‐analyses. This study aimed to compare published models with the proposed standard model (allometric weight 0.75 and sigmoidal maturation function).

          Methods

          A systematic literature search was undertaken to identify published clearance (CL) reports for gentamicin and midazolam and all published models for scaling clearance in children. Each model was fitted to the CL values for gentamicin and midazolam, and the results compared with the standard model (allometric weight exponent of 0.75, along with a sigmoidal maturation function estimating the time in weeks of postmenstrual age to reach half the mature value and a shape parameter). For comparison, we also looked at allometric size models with no age effect, the influence of estimating the allometric exponent in the standard model and, for gentamicin, using a fixed allometric exponent of 0.632 as per a study on glomerular filtration rate maturation. Akaike information criteria (AIC) and visual predictive checks were used for evaluation.

          Results

          No model gave an improved AIC in all age groups, but one model for gentamicin and three models for midazolam gave slightly improved global AIC fits albeit using more parameters: AIC drop (number of parameters), –4.1 (5), –9.2 (4), –10.8 (5) and –10.1 (5), respectively. The 95% confidence interval of estimated CL for all top performing models overlapped.

          Conclusion

          No evidence to reject the standard model was found; given the benefits of standardised parameterisation, its use should therefore be recommended.

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          Most cited references112

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          Body size and metabolism

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            Improved equations estimating GFR in children with chronic kidney disease using an immunonephelometric determination of cystatin C

            The Chronic Kidney Disease in Children study is a cohort of about 600 children with chronic kidney disease (CKD) in the United States and Canada. The independent variable for our observations was a measurement of glomerular filtration rate (GFR) by iohexol disappearance (iGFR) at the first two visits one year apart and during alternate years thereafter. In a previous report, we had developed GFR estimating equations utilizing serum creatinine, blood urea nitrogen, height, gender and cystatin C measured by an immunoturbidimetric method; however the correlation coefficient of cystatin C and GFR (-0.69) was less robust than expected. Therefore, 495 samples were re-assayed using immunonephelometry. The reciprocal of immunonephelometric cystatin C was as well correlated with iGFR as was height/serum creatinine (both 0.88). We developed a new GFR estimating equation using a random 2/3 of 965 person-visits and applied it to the remaining 1/3 as a validation data set. In the validation data set, the correlation of the estimated GFR with iGFR was 0.92 with high precision and no bias; 91% and 45% of eGFR values were within 30% and 10% of iGFR, respectively. This equation works well in children with CKD in a range of GFR from 15 to 75 ml/min per 1.73 m2. Further studies are needed to establish the applicability to children of normal stature and muscle mass, and higher GFR.
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              A pharmacokinetic standard for babies and adults.

              The pharmacokinetic behavior of medicines used in humans follows largely predictable patterns across the human age range from premature babies to elderly adults. Most of the differences associated with age are in fact due to differences in size. Additional considerations are required to describe the processes of maturation of clearance processes and postnatal changes in body composition. Application of standard approaches to reporting pharmacokinetic parameters is essential for comparative human pharmacokinetic studies from babies to adults. A standardized comparison of pharmacokinetic parameters obtained in children and adults is shown for 46 drugs. Appropriate size scaling shows that children (over 2 years old) are similar to adults. Maturation changes are generally completed within the first 2 years of postnatal life; consequently babies may be considered as immature children, whereas children are just small adults.
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                Author and article information

                Contributors
                j.standing@ucl.ac.uk
                Journal
                Br J Clin Pharmacol
                Br J Clin Pharmacol
                10.1111/(ISSN)1365-2125
                BCP
                British Journal of Clinical Pharmacology
                John Wiley and Sons Inc. (Hoboken )
                0306-5251
                1365-2125
                02 December 2016
                April 2017
                02 December 2016
                : 83
                : 4 ( doiID: 10.1111/bcp.v83.4 )
                : 777-790
                Affiliations
                [ 1 ] Inflammation, Infection and Rheumatology Section, Great Ormond Street Institute of Child Health University College London 30 Guilford Street London WC1N 1EHUK
                [ 2 ] Paediatric Infectious Diseases Research Group, Institute for Infection and ImmunitySt George's, University of London Cranmer Terrace London SW17 0REUK
                [ 3 ]St George's University Hospitals NHS Foundation Trust Blackshaw Road LondonUK
                Author notes
                [*] [* ] Correspondence

                Joseph F Standing, Principal Research Associate, Great Ormond Street Institute of Child Health, University College London, Inflammation, Infection and Rheumatology section, 30 Guilford Street, London WC1N 1EH, UK.

                Tel.: +44 20 7905 2370

                Fax: +44 20 7905 2882

                E‐mail: j.standing@ 123456ucl.ac.uk

                Article
                BCP13160 MP-00409-16.R2
                10.1111/bcp.13160
                5346879
                27767204
                4808b1a1-d867-4de1-819d-c8f919299000
                © 2016 The Authors. British Journal of Clinical Pharmacology published by John Wiley & Sons Ltd on behalf of British Pharmacological Society.

                This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

                History
                : 20 May 2016
                : 06 October 2016
                : 15 October 2016
                Page count
                Figures: 3, Tables: 4, Pages: 14, Words: 4413
                Categories
                Pharmacokinetics
                Pharmacokinetics
                Custom metadata
                2.0
                bcp13160
                April 2017
                Converter:WILEY_ML3GV2_TO_NLMPMC version:5.0.8 mode:remove_FC converted:13.03.2017

                Pharmacology & Pharmaceutical medicine
                allometric exponent,allometric scaling,children,gentamicin,infants,maturation function,midazolam,neonates,nonmem,pharmacometrics

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