PKPD model of interleukin-21 effects on thermoregulation in monkeys--application and evaluation of stochastic differential equations

Pharm Res. 2007 Feb;24(2):298-309. doi: 10.1007/s11095-006-9143-x. Epub 2006 Sep 29.

Abstract

Purpose: To describe the pharmacodynamic effects of recombinant human interleukin-21 (IL-21) on core body temperature in cynomolgus monkeys using basic mechanisms of heat regulation. A major effort was devoted to compare the use of ordinary differential equations (ODEs) with stochastic differential equations (SDEs) in pharmacokinetic pharmacodynamic (PKPD) modelling.

Methods: A temperature model was formulated including circadian rhythm, metabolism, heat loss, and a thermoregulatory set-point. This model was formulated as a mixed-effects model based on SDEs using NONMEM.

Results: The effects of IL-21 were on the set-point and the circadian rhythm of metabolism. The model was able to describe a complex set of IL-21 induced phenomena, including 1) disappearance of the circadian rhythm, 2) no effect after first dose, and 3) high variability after second dose. SDEs provided a more realistic description with improved simulation properties, and further changed the model into one that could not be falsified by the autocorrelation function.

Conclusions: The IL-21 induced effects on thermoregulation in cynomolgus monkeys are explained by a biologically plausible model. The quality of the model was improved by the use of SDEs.

MeSH terms

  • Algorithms
  • Animals
  • Body Temperature Regulation / drug effects*
  • Circadian Rhythm
  • Computer Simulation
  • Data Interpretation, Statistical
  • Fever / prevention & control
  • Interleukins / pharmacokinetics*
  • Interleukins / pharmacology*
  • Likelihood Functions
  • Macaca fascicularis
  • Male
  • Metabolism / physiology
  • Models, Statistical
  • Receptors, Drug / physiology
  • Stochastic Processes

Substances

  • Interleukins
  • Receptors, Drug
  • interleukin-21