The analysis of dose-response curves--a practical approach

Area of Science:

• Pharmacology
• Biostatistics
• Quantitative Pharmacology

Background:

• Objective assessment of dose-response curves (DRCs) is crucial for drug development and efficacy studies.
• Existing methods for analyzing incomplete DRCs lack objective criteria for defining terminal linear segments.
• Accurate modeling of DRCs is essential for understanding drug potency and effects.

Purpose of the Study:

• To present the rationale for objective assessment of dose-response curves (DRCs).
• To introduce two new statistical methods for objectively defining the terminal linear segment of incomplete DRCs.
• To extend the parallel shift quadratic model with a measure of suitability and propose a parallel shift Emax model for complete DRCs.

Main Methods:

• Analysis of isoprenaline/heart rate response data to develop methods for incomplete DRCs.
• Extension of the parallel shift quadratic model using the Akaike information criterion for phenylephrine/diastolic blood pressure data.
• Proposal of a parallel shift Emax model for complete DRCs.

Main Results:

• Two novel statistical methods were developed to objectively define the terminal linear segment of incomplete DRCs.
• The parallel shift quadratic model was enhanced with the Akaike information criterion to assess model suitability for individual datasets.
• A parallel shift Emax model was proposed as a suitable method for analyzing complete DRCs.

Conclusions:

• The developed statistical methods provide objective criteria for analyzing dose-response curves.
• These methods enhance the accuracy and reliability of quantitative pharmacological assessments.
• The proposed models contribute to a more robust understanding of drug-response relationships.