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Updated: Jan 20, 2026

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Validating Physiologically-Based Pharmacokinetic Models Using the Continuous Ranked Probability Score: Beyond Being

Laurens Sluijterman1, Marjolein van Borselen2, Rick Greupink2

  • 1IQ Health, Section Biostatistics, Radboud University Medical Center, Nijmegen, the Netherlands.

CPT: Pharmacometrics & Systems Pharmacology
|January 19, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a new validation method for physiologically-based pharmacokinetic (PBPK) models using the Continuous Ranked Probability Score (CRPS). This approach quantifies model performance more rigorously for drug development.

Keywords:
continuous ranked probability scoreevaluation frameworkphysiological‐based pharmacokinetic modelsvalidation

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Area of Science:

  • Pharmacokinetics and Pharmacodynamics
  • Computational Biology and Bioinformatics
  • Drug Development and Pharmacology

Background:

  • Physiologically-based pharmacokinetic (PBPK) models are vital in model-informed drug development (MIDD).
  • Existing model evaluation guidelines lack specific quantification methods for validation.
  • There is a need for precise metrics to assess PBPK model predictive accuracy.

Purpose of the Study:

  • To propose a rigorous validation approach for PBPK models using the Continuous Ranked Probability Score (CRPS).
  • To demonstrate the applicability of CRPS for both individual and population-level predictions in PBPK modeling.
  • To introduce a skill-score approach for single PBPK model validation.

Main Methods:

  • Application of the Continuous Ranked Probability Score (CRPS) for PBPK model validation.
  • Comparison of two PBPK models using the proposed CRPS-based validation technique.
  • Development of an accessible online tool to implement the CRPS validation method.

Main Results:

  • The CRPS effectively quantifies how well PBPK models recreate observed data distributions.
  • CRPS allows for the comparison of predictive performance between competing PBPK models.
  • The skill-score approach using CRPS facilitates single model validation.

Conclusions:

  • The proposed CRPS-based validation method offers a more thorough and quantitative assessment of PBPK models.
  • This metric is versatile, applicable to individual and population predictions, and comparable models.
  • The CRPS metric and associated tool can enhance the reliability of PBPK models in drug development and other modeling applications.