A methodology for finding optimal dosage levels in multi-drug treatment interactions

Area of Science:

• Pharmacology and Biostatistics
• Mathematical Modeling in Medicine

Background:

• Multi-drug treatments are common, but determining optimal dosages and understanding drug interactions remains challenging.
• Synergistic effects between drugs can enhance therapeutic outcomes but require careful analysis.

Purpose of the Study:

• To develop a methodology for identifying optimal dosage levels in multi-drug treatment interactions.
• To analyze the synergistic effects of drug combinations.
• To provide a method for calculating non-zero optimal dosages and their confidence regions.

Main Methods:

• Application of a variant of Cox multi-regression to survival data.
• Modeling the drug interactions using a quadratic function.
• Model fitting assessment through residual analysis.
• Utilizing contour plots for visualizing therapeutic effects across dosage combinations.

Main Results:

• A validated methodology for predicting optimal drug dosage levels.
• Quantification of synergistic effects in multi-drug therapies.
• Identification of confidence regions for optimal dosage values.
• Visualization of treatment outcomes using contour plots.

Conclusions:

• The proposed methodology enables precise determination of optimal dosages for multi-drug treatments.
• The analysis of synergistic effects provides valuable insights for drug combination therapies.
• The method offers a robust tool for predicting and visualizing therapeutic responses across various drug dosages.