A Bayesian Approach to Dose-Response Assessment and Synergy and Its Application to In Vitro Dose-Response Studies

Violeta G. Hennessey, Gary Rosner, Robert C. Bast, Min Yu Chen

Research output: Contribution to journalArticle

Abstract

In this article, we propose a Bayesian approach to dose-response assessment and the assessment of synergy between two combined agents. We consider the case of an in vitro ovarian cancer research study aimed at investigating the antiproliferative activities of four agents, alone and paired, in two human ovarian cancer cell lines. In this article, independent dose-response experiments were repeated three times. Each experiment included replicates at investigated dose levels including control (no drug). We have developed a Bayesian hierarchical nonlinear regression model that accounts for variability between experiments, variability within experiments (i.e., replicates), and variability in the observed responses of the controls. We use Markov chain Monte Carlo to fit the model to the data and carry out posterior inference on quantities of interest (e.g., median inhibitory concentration IC 50). In addition, we have developed a method, based on Loewe additivity, that allows one to assess the presence of synergy with honest accounting of uncertainty. Extensive simulation studies show that our proposed approach is more reliable in declaring synergy compared to current standard analyses such as the median-effect principle/combination index method (Chou and Talalay, 1984, Advances in Enzyme Regulation 22, 27-55), which ignore important sources of variability and uncertainty.

Original languageEnglish (US)
Pages (from-to)1275-1283
Number of pages9
JournalBiometrics
Volume66
Issue number4
DOIs
StatePublished - Dec 2010
Externally publishedYes

Fingerprint

Bayes Theorem
Dose-response
Synergy
Bayesian Approach
Ovarian Neoplasms
Uncertainty
dose response
Ovarian Cancer
Markov Chains
Nonlinear Dynamics
ovarian neoplasms
Drug and Narcotic Control
Inhibitory Concentration 50
Experiment
uncertainty
Experiments
Cell Line
Nonlinear Regression Model
Additivity
Level control

Keywords

  • Combination index method
  • Drug interaction
  • E model
  • Interaction index
  • Loewe additivity model
  • Median-effect principle

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability
  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Medicine(all)

Cite this

A Bayesian Approach to Dose-Response Assessment and Synergy and Its Application to In Vitro Dose-Response Studies. / Hennessey, Violeta G.; Rosner, Gary; Bast, Robert C.; Chen, Min Yu.

In: Biometrics, Vol. 66, No. 4, 12.2010, p. 1275-1283.

Research output: Contribution to journalArticle

Hennessey, Violeta G. ; Rosner, Gary ; Bast, Robert C. ; Chen, Min Yu. / A Bayesian Approach to Dose-Response Assessment and Synergy and Its Application to In Vitro Dose-Response Studies. In: Biometrics. 2010 ; Vol. 66, No. 4. pp. 1275-1283.
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