Modeling sleep data for a new drug in development using markov mixed-effects models

Pharm Res. 2011 Oct;28(10):2610-27. doi: 10.1007/s11095-011-0490-x. Epub 2011 Jun 17.

Abstract

Purpose: To characterize the time-course of sleep in insomnia patients as well as placebo and concentration-effect relationships of two hypnotic compounds, PD 0200390 and zolpidem, using an accelerated model-building strategy based on mixed-effects Markov models.

Methods: Data were obtained in a phase II study with the drugs. Sleep stages were recorded during eight hours of sleep for two nights per treatment for the five treatments. First-order Markov models were developed for one transition at a time in a sequential manner; first a baseline model, followed by placebo and lastly the drug models. To accelerate the process, predefined models were selected based on a priori knowledge of sleep, including inter-subject and inter-occasion variability.

Results: Baseline sleep was described using piece-wise linear models, depending on time of night and duration of sleep stage. Placebo affected light sleep stages; drugs also affected slow-wave sleep. Administering PD 0200390 30 min earlier than standard dosing was shown through simulations to reduce latency to persistent sleep by 40%.

Conclusion: The proposed accelerated model-building strategy resulted in a model well describing sleep patterns of insomnia patients with and without treatments.

Publication types

  • Randomized Controlled Trial
  • Research Support, Non-U.S. Gov't

MeSH terms

  • Acetates / therapeutic use*
  • Adult
  • Cross-Over Studies
  • Cyclopentanes / therapeutic use*
  • Double-Blind Method
  • Female
  • Humans
  • Hypnotics and Sedatives / therapeutic use*
  • Linear Models
  • Male
  • Markov Chains*
  • Middle Aged
  • Polysomnography / methods
  • Pyridines / therapeutic use*
  • Sleep / drug effects*
  • Sleep Initiation and Maintenance Disorders / drug therapy*
  • Sleep Stages / drug effects*
  • Zolpidem

Substances

  • (1-aminomethyl-3,4-dimethylcyclopentyl)acetic acid
  • Acetates
  • Cyclopentanes
  • Hypnotics and Sedatives
  • Pyridines
  • Zolpidem