A hybrid Markov chain-von Mises density model for the drug-dosing interval and drug holiday distributions

AAPS J. 2015 Mar;17(2):427-37. doi: 10.1208/s12248-014-9713-5. Epub 2015 Jan 22.

Abstract

Lack of adherence is a frequent cause of hospitalizations, but its effects on dosing patterns have not been extensively investigated. The purpose of this work was to critically evaluate a novel pharmacometric model for deriving the relationships of adherence to dosing patterns and the dosing interval distribution. The hybrid, stochastic model combines a Markov chain process with the von Mises distribution. The model was challenged with electronic medication monitoring data from 207 hypertension patients and against 5-year persistence data. The model estimates distributions of dosing runs, drug holidays, and dosing intervals. Drug holidays, which can vary between individuals with the same adherence, were characterized by the patient cooperativity index parameter. The drug holiday and dosing run distributions deviate markedly from normality. The dosing interval distribution exhibits complex patterns of multimodality and can be long-tailed. Dosing patterns are an important but under recognized covariate for explaining within-individual variance in drug concentrations.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Antihypertensive Agents / administration & dosage*
  • Drug Administration Schedule
  • Humans
  • Hypertension / drug therapy*
  • Markov Chains
  • Medication Adherence*
  • Models, Statistical*
  • Stochastic Processes
  • Time Factors

Substances

  • Antihypertensive Agents