Skip to main content
Log in

Population clinical pharmacology of children: modelling covariate effects

  • Review
  • Published:
European Journal of Pediatrics Aims and scope Submit manuscript

Abstract

Introduction

Population modelling using mixed effects models provides a means to study variability in paediatric drug responses among individuals representative of those in whom the drug will be used clinically.

Discussions

Explanatory covariates explain the predictable part of the between-individual variability. Growth and development are two major aspects of children not seen in adults. These aspects can be investigated by using size and age as covariates. Problems attributable to co-linearity can be approached by using size as the first covariate. Size standardisation is achieved using allometric scaling, a mechanistic approach that has a strong theoretical and empirical basis. Age is used to describe the maturation of clearance. The quantitative models (linear, exponential, first-order, variable slope sigmoidal) used to describe this maturation process vary depending on the span of the ages under investigation. Measures of response are not always straightforward and can be more difficult to quantify in children.

Conclusion

Covariate investigation in children is improving the understanding of developmental aspects of drug disposition and effects in the paediatric population, ultimately leading to more effective use of medications.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1a, b
Fig. 2
Fig. 3a, b
Fig. 4
Fig. 5

Similar content being viewed by others

Abbreviations

BMR:

Basal metabolic rate

BSA:

Body surface area

CL:

Clearance

CLcr:

Creatinine clearance

CPR:

Creatinine production rate

GFR:

Glomerular filtration rate ka; absorption rate constant

ln:

Natural logarithm

NONMEM:

Nonlinear mixed effects model

PD:

Pharmacodynamics

PK:

Pharmacokinetics

PMA:

Postmenstrual age

PNA:

Postnatal age

PWR:

Allometric power exponent

Tabs:

Absorption half time

TDM:

Therapeutic drug monitoring

V:

Volume of distribution

References

  1. Allegaert K, Anderson BJ, Cossey V, Holford NH (2006) Limited predictability of amikacin clearance in extreme premature neonates at birth. Br J Clin Pharmacol 61(1):39–48

    Article  PubMed  CAS  Google Scholar 

  2. Allegaert K, Anderson BJ, Verbesselt R, Debeer A, de Hoon J, Devlieger H, van den Anker JN, Tibboel D (2005) Tramadol disposition in the very young: an attempt to assess in vivo cytochrome P-450 2D6 activity. Br J Anaesth 95(2):231–239

    Article  PubMed  CAS  Google Scholar 

  3. Anderson BJ (2005) Phenytoin elimination in a child during hypothermia for traumatic brain injury. Paediat Perinat Drug Ther 6(3):133–138

    Google Scholar 

  4. Anderson BJ, Allegaert K, van den Anker JN, Cossey V, Holford NHG (2006) Vancomycin pharmacokinetics in preterm neonates and the prediction of adult clearance. Brit J Clin Pharmacol (in press)

  5. Anderson BJ, Meakin GH (2002) Scaling for size: some implications for paediatric anaesthesia dosing. Paediatr Anaesth 12(3):205–219

    Article  PubMed  Google Scholar 

  6. Anderson BJ, Pons G, Autret-Leca E, Allegaert K, Boccard E (2005) Pediatric intravenous paracetamol (propacetamol) pharmacokinetics: a population analysis. Paediatr Anaesth 15(4):282–292

    Article  PubMed  Google Scholar 

  7. Anderson BJ, Ralph CJ, Stewart AW, Barber C, Holford NH (2000) The dose–effect relationship for morphine and vomiting after day-stay tonsillectomy in children. Anaesth Intensive Care 28(2):155–160

    PubMed  CAS  Google Scholar 

  8. Anderson BJ, van Lingen RA, Hansen TG, Lin YC, Holford NH (2002) Acetaminophen developmental pharmacokinetics in premature neonates and infants: a pooled population analysis. Anesthesiology 96(6):1336–1345

    Article  PubMed  CAS  Google Scholar 

  9. Anderson BJ, Woollard GA, Holford NH (2000) A model for size and age changes in the pharmacokinetics of paracetamol in neonates, infants and children. Br J Clin Pharmacol 50(2):125–134

    Article  PubMed  CAS  Google Scholar 

  10. Anderson BJ, Woollard GA, Holford NH (2001) Acetaminophen analgesia in children: placebo effect and pain resolution after tonsillectomy. Eur J Clin Pharmacol 57(8):559–569

    Article  PubMed  CAS  Google Scholar 

  11. Arant BS Jr (1978) Developmental patterns of renal functional maturation compared in the human neonate. J Pediatr 92(5):705–712

    Article  PubMed  CAS  Google Scholar 

  12. Beal S, Sheiner L (1980) The NONMEM system. Am Stat 34:118–119

    Article  Google Scholar 

  13. Beal SL (1991) Computing initial estimates with mixed effects models: a general method of moments. Biometrika 78(1):217–220

    Article  Google Scholar 

  14. Bergstein JM (2000) Introduction to glomerular diseases. In: Behrman RE, Kliegman RM, Jenson HB (ed) Nelson textbook of pediatrics, 16th edn. WB Saunders, Philadelphia, Pennsylvania, pp 1574–1575

    Google Scholar 

  15. Bonate PL (1999) The effect of collinearity on parameter estimates in nonlinear mixed effect models. Pharm Res 16(5):709–717

    Article  PubMed  CAS  Google Scholar 

  16. Booker PD, Taylor C, Saba G (1996) Perioperative changes in alpha 1-acid glycoprotein concentrations in infants undergoing major surgery. Br J Anaesth 76(3):365–368

    PubMed  CAS  Google Scholar 

  17. Bouwmeester NJ, Anderson BJ, Tibboel D, Holford NH (2004) Developmental pharmacokinetics of morphine and its metabolites in neonates, infants and young children. Br J Anaesth 92(2):208–217

    Article  PubMed  CAS  Google Scholar 

  18. Boxenbaum H, DiLea C (1995) First-time-in-human dose selection: allometric thoughts and perspectives. J Clin Pharmacol 35(10):957–966

    PubMed  CAS  Google Scholar 

  19. Brown RD, Kearns GL, Wilson JT (1998) Integrated pharmacokinetic–pharmacodynamic model for acetaminophen, ibuprofen, and placebo antipyresis in children. J Pharmacokinet Biopharm 26(5):559–579

    PubMed  CAS  Google Scholar 

  20. Capparelli EV, Englund JA, Connor JD, Spector SA, McKinney RE, Palumbo P, Baker CJ (2003) Population pharmacokinetics and pharmacodynamics of zidovudine in HIV-infected infants and children. J Clin Pharmacol 43(2):133–140

    Article  PubMed  CAS  Google Scholar 

  21. Chugani DC, Muzik O, Juhasz C, Janisse JJ, Ager J, Chugani HT (2001) Postnatal maturation of human GABAA receptors measured with positron emission tomography. Ann Neurol 49(5):618–626

    Article  PubMed  CAS  Google Scholar 

  22. Cockcroft DW, Gault MH (1976) Prediction of creatinine clearance from serum creatinine. Nephron 16(1):31–41

    Article  PubMed  CAS  Google Scholar 

  23. Cole M, Price L, Parry A, Keir MJ, Pearson AD, Boddy AV, Veal GJ (2004) Estimation of glomerular filtration rate in paediatric cancer patients using 51CR-EDTA population pharmacokinetics. Br J Cancer 90(1):60–64

    Article  PubMed  CAS  Google Scholar 

  24. Crawford JD, Terry ME, Rourke GM (1950) Simplification of drug dosage calculation by application of the surface area principle. Pediatrics 5(5):783–790

    PubMed  CAS  Google Scholar 

  25. Dawson WT (1940) Relations between age and weight and dosages of drugs. Ann Intern Med 13:1594–1613

    Google Scholar 

  26. Du Bois D, Du Bois EF (1916) Clinical calorimetry: tenth paper. A formula to estimate the approximate surface area if height and weight be known. Arch Intern Med 17:863–871

    Google Scholar 

  27. Friis-Hansen B (1961) Body water compartments in children: changes during growth and related changes in body composition. Pediatrics 28:169–181

    PubMed  CAS  Google Scholar 

  28. Gillooly JF, Brown JH, West GB, Savage VM, Charnov EL (2001) Effects of size and temperature on metabolic rate. Science 293(5538):2248–2251

    Article  PubMed  CAS  Google Scholar 

  29. Grimsley C, Thomson AH (1999) Pharmacokinetics and dose requirements of vancomycin in neonates. Arch Dis Child Fetal Neonatal Ed 81(3):F221–F227

    Article  PubMed  CAS  Google Scholar 

  30. Guignard JP, Drukker A (1999) Why do newborn infants have a high plasma creatinine? Pediatrics 103(4):e49

    Article  PubMed  CAS  Google Scholar 

  31. Hines RN, McCarver DG (2002) The ontogeny of human drug-metabolizing enzymes: phase I oxidative enzymes. J Pharmacol Exp Ther 300(2):355–360

    Article  PubMed  CAS  Google Scholar 

  32. Holford NHG (1996) A size standard for pharmacokinetics. Clin Pharmacokinet 30(5):329–332

    PubMed  CAS  Google Scholar 

  33. Hull CJ, Van Beem HB, McLeod K, Sibbald A, Watson MJ (1978) A pharmacodynamic model for pancuronium. Br J Anaesth 50(11):1113–1123

    PubMed  CAS  Google Scholar 

  34. Kan RE, Hughes SC, Rosen MA, Kessin C, Preston PG, Lobo EP (1998) Intravenous remifentanil: placental transfer, maternal and neonatal effects. Anesthesiology 88(6):1467–1474

    Article  PubMed  CAS  Google Scholar 

  35. Kearns GL, Abdel-Rahman SM, Alander SW, Blowey DL, Leeder JS, Kauffman RE (2003) Developmental pharmacology—drug disposition, action, and therapy in infants and children. N Engl J Med 349(12):1157–1167

    Article  PubMed  CAS  Google Scholar 

  36. Kimura T, Sunakawa K, Matsuura N, Kubo H, Shimada S, Yago K (2004) Population pharmacokinetics of arbekacin, vancomycin, and panipenem in neonates. Antimicrob Agents Chemother 48(4):1159–1167

    Article  PubMed  CAS  Google Scholar 

  37. Kleiber M (1961) The fire of life: an introduction to animal energetics. Wiley, New York

    Google Scholar 

  38. Knibbe CA, Zuideveld KP, Aarts LP, Kuks PF, Danhof M (2005) Allometric relationships between the pharmacokinetics of propofol in rats, children and adults. Br J Clin Pharmacol 59(6):705–711

    Article  PubMed  CAS  Google Scholar 

  39. Koukouritaki SB, Manro JR, Marsh SA, Stevens JC, Rettie AE, McCarver DG, Hines RN (2004) Developmental expression of human hepatic CYP2C9 and CYP2C19. J Pharmacol Exp Ther 308(3):965–974, Epub 2003 Nov 21

    Article  PubMed  CAS  Google Scholar 

  40. Leger F, Bouissou F, Coulais Y, Tafani M, Chatelut E (2002) Estimation of glomerular filtration rate in children. Pediatr Nephrol 17(11):903–907

    Article  PubMed  Google Scholar 

  41. Lynn AM, Nespeca MK, Opheim KE, Slattery JT (1993) Respiratory effects of intravenous morphine infusions in neonates, infants, and children after cardiac surgery. Anesth Analg 77(4):695–701

    Article  PubMed  CAS  Google Scholar 

  42. Marshall JD, Kearns GL (1999) Developmental pharmacodynamics of cyclosporine. Clin Pharmacol Ther 66(1):66–75

    Article  PubMed  CAS  Google Scholar 

  43. Matthews I, Kirkpatrick C, Holford N (2004) Quantitative justification for target concentration intervention—parameter variability and predictive performance using population pharmacokinetic models for aminoglycosides. Br J Clin Pharmacol 58(1):8–19

    Article  PubMed  CAS  Google Scholar 

  44. Mitchell D, Strydon NB, van Graun CH, van der Walt WH (1971) Human surface area: comparison of the Du Bois formula with direct photometric measurement. Pfugers Arch 325(2):188–190

    Article  CAS  Google Scholar 

  45. Paap CM, Nahata MC (1995) Prospective evaluation of ten methods for estimating creatinine clearance in children with varying degrees of renal dysfunction. J Clin Pharm Ther 20(2):67–73

    PubMed  CAS  Google Scholar 

  46. Pacifici GM, Franchi M, Giuliani L, Rane A (1989) Development of the glucuronyltransferase and sulphotransferase towards 2-naphthol in human fetus. Dev Pharmacol Ther 14(2):108–114

    PubMed  CAS  Google Scholar 

  47. Pacifici GM, Sawe J, Kager L, Rane A (1982) Morphine glucuronidation in human fetal and adult liver. Eur J Clin Pharmacol 22(6):553–558

    Article  PubMed  CAS  Google Scholar 

  48. Peeters MY, Prins SA, Knibbe CA, Dejongh J, van Schaik RH, van Dijk M, van der Heiden IP, Tibboel D, Danhof M (2006) Propofol pharmacokinetics and pharmacodynamics for depth of sedation in nonventilated infants after major craniofacial surgery. Anesthesiology 104(3):466–474

    Article  PubMed  CAS  Google Scholar 

  49. Peters HP (1983) Physiological correlates of size. In: Beck E, Birks HJB, Conner EF (eds) The ecological implications of body size. Cambridge University Press, Cambridge, UK, pp 48–53

    Google Scholar 

  50. Rajagopalan P, Gastonguay MR (2003) Population pharmacokinetics of ciprofloxacin in pediatric patients. J Clin Pharmacol 43(7):698–710

    Article  PubMed  CAS  Google Scholar 

  51. Ross AK, Davis PJ, Dear Gd GL, Ginsberg B, McGowan FX, Stiller RD, Henson LG, Huffman C, Muir KT (2001) Pharmacokinetics of remifentanil in anesthetized pediatric patients undergoing elective surgery or diagnostic procedures. Anesth Analg 93(6):1393–1401

    Article  PubMed  CAS  Google Scholar 

  52. Schmidt-Nielsen K (1984) Scaling: why is animal size so important? Cambridge University Press, Cambridge, UK

    Google Scholar 

  53. Schuttler J, Ihmsen H (2000) Population pharmacokinetics of propofol: a multicenter study. Anesthesiology 92(3):727–738

    Article  PubMed  CAS  Google Scholar 

  54. Schwartz GJ, Feld LG, Langford DJ (1984) A simple estimate of glomerular filtration rate in full-term infants during the first year of life. J Pediatr 104(6):849–854

    PubMed  CAS  Google Scholar 

  55. Schwartz GJ, Gauthier B (1985) A simple estimate of glomerular filtration rate in adolescent boys. J Pediatr 106(3):522–526

    Article  PubMed  CAS  Google Scholar 

  56. Sheiner LB, Stanski DR, Vozeh S, Miller RD, Ham J (1979) Simultaneous modeling of pharmacokinetics and pharmacodynamics: application to D-tubocurarine. Clin Pharmacol Ther 25(3):358–371

    PubMed  CAS  Google Scholar 

  57. Sonntag J, Prankel B, Waltz S (1996) Serum creatinine concentration, urinary creatinine excretion and creatinine clearance during the first 9 weeks in preterm infants with a birth weight below 1500 g. Eur J Pediatr 155(9):815–819

    PubMed  CAS  Google Scholar 

  58. Tenenbein M (2000) Why young children are resistant to acetaminophen poisoning. J Pediatr 137(6):891–892

    Article  PubMed  CAS  Google Scholar 

  59. van der Heijden AJ, Grose WF, Ambagtsheer JJ, Provoost AP, Wolff ED, Sauer PJ (1988) Glomerular filtration rate in the preterm infant: the relation to gestational and postnatal age. Eur J Pediatr 148(1):24–28

    Article  PubMed  Google Scholar 

  60. van der Marel CD, Anderson BJ, Romsing J, Jacqz-Aigrain E, Tibboel D (2004) Diclofenac and metabolite pharmacokinetics in children. Paediatr Anaesth 14(6):443–451

    Article  PubMed  Google Scholar 

  61. van Dijk M, Koot HM, Saad HH, Tibboel D, Passchier J (2002) Observational visual analog scale in pediatric pain assessment: useful tool or good riddance? Clin J Pain 18(5):310–316

    Article  PubMed  Google Scholar 

  62. van Dijk M, Peters JW, Bouwmeester NJ, Tibboel D (2002) Are postoperative pain instruments useful for specific groups of vulnerable infants? Clin Perinatol 29(3):469–491

    Article  PubMed  Google Scholar 

  63. van Dijk M, Simons SH, Tibboel D (2004) Pain assessment in neonates. Paed Perinatal Drug Ther 6(2):97–103

    Google Scholar 

  64. Way WL, Costley EC, Way EL (1965) Respiratory sensitivity of the newborn infant to meperidine and morphine. Clin Pharmacol Ther 6:454–461

    PubMed  CAS  Google Scholar 

  65. West GB, Brown JH, Enquist BJ (1997) A general model for the origin of allometric scaling laws in biology. Science 276(5309):122–126

    Article  PubMed  CAS  Google Scholar 

  66. West GB, Brown JH, Enquist BJ (1999) The fourth dimension of life: fractal geometry and allometric scaling of organisms. Science 284(5420):1677–1679

    Article  PubMed  CAS  Google Scholar 

  67. Yukawa E, Satou M, Nonaka T, Yukawa M, Ohdo S, Higuchi S, Kuroda T, Goto Y (2002) Pharmacoepidemiologic investigation of clonazepam relative clearance by mixed-effect modeling using routine clinical pharmacokinetic data in Japanese patients. J Clin Pharmacol 42(1):81–88

    Article  PubMed  CAS  Google Scholar 

Download references

Acknowledgement

The clinical research of K. Allegaert is supported by the Fund for Scientific Research, Flanders (Belgium) by a Clinical Doctoral Grant (A 6/5–KV–G 1).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Brian J. Anderson.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anderson, B.J., Allegaert, K. & Holford, N.H.G. Population clinical pharmacology of children: modelling covariate effects. Eur J Pediatr 165, 819–829 (2006). https://doi.org/10.1007/s00431-006-0189-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00431-006-0189-x

Keywords

Navigation