Semiparametric analysis of non-steady-state pharmacodynamic data

J Pharmacokinet Biopharm. 1991 Dec;19(6):691-712. doi: 10.1007/BF01080874.

Abstract

We present an approach to the analysis of pharmacodynamic (PD) data arising from non-steady-state experiments, meant to be used when only PD data, not pharmacokinetic (PK) data, are available. The approach allows estimation of the steady-state relationship between drug input and effect. The analysis is based on a model describing the time dependence of drug effect (E) on (unobserved) drug concentration (Ce) in an hypothetical effect compartment. The model consists of (i) a known model for the input rate of drug I(t), (ii) a parametric model; L(t, alpha) (a function of time t, and vector of parameters alpha), relating I to an observed variable X, (iii) a nonparametric model relating X to E. Ce is proportional to X. X (t) is given by I(t) * L(t, alpha)/AL, where L(t, alpha) = e-alpha 1t * sigma k m = 1 alpha 2k e-alpha 2k + 1t, sigma k m = 1 alpha 2k = 1, AL = integral of 0 infinity L(t) dt, and * indicates convolution. The nonparametric model relating X to E is a cubic spline, a function of X and a vector of (linear) parameters beta. The values of alpha and beta are chosen to minimize the sum of squared residuals between predicted and observed E. We also describe a similar model, generalizing a previously described one, to analyze PK/PD data. Applications of the approach to different drug-effect relationships (verapamil-PR interval, hydroxazine-wheal and flare, flecainide and/or verapamil-PR, and left ventricular ejection fraction) are reported.

Publication types

  • Research Support, U.S. Gov't, P.H.S.

MeSH terms

  • Computer Simulation
  • Flecainide / pharmacokinetics
  • Flecainide / pharmacology
  • Humans
  • Hydroxyzine / pharmacokinetics
  • Hydroxyzine / pharmacology
  • Metabolic Clearance Rate / physiology
  • Models, Statistical*
  • Pharmacokinetics*
  • Stochastic Processes
  • Verapamil / pharmacokinetics
  • Verapamil / pharmacology

Substances

  • Hydroxyzine
  • Verapamil
  • Flecainide