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Updated: Jul 13, 2026

Models and Methods to Evaluate Transport of Drug Delivery Systems Across Cellular Barriers
Published on: October 17, 2013
Partial derivative-based sensitivity analysis of models describing target-mediated drug disposition
Anson K Abraham1, Wojciech Krzyzanski, Donald E Mager
1Department of Pharmaceutical Sciences, University at Buffalo, SUNY, Amherst, NY 14260, USA.
Sensitivity analysis reveals key parameters in pharmacokinetic models. Understanding parameter influence is crucial for optimizing experimental design and accurately estimating model parameters.
Area of Science:
- Pharmacokinetics
- Mathematical Modeling
- Systems Biology
Background:
- Sensitivity analysis is vital for understanding parameter effects on model output.
- It aids in optimizing experimental design for accurate parameter estimation.
Purpose of the Study:
- Conduct sensitivity analysis on target-mediated pharmacokinetic models.
- Assess parameter variation impact on model predictions.
- Identify influential model parameters.
Main Methods:
- Evaluated linear (Model 1) and target-mediated (Models 2, 3) models.
- Performed simulations with parameter perturbations.
- Analyzed free plasma drug concentration profiles and partial derivatives.
Main Results:
- Model outputs highly sensitive to linear disposition parameters across all models.
- Equilibrium dissociation constant (K(D)) showed varied influence (Model 2 vs. Model 3).
- Initial receptor concentration and plasma volume perturbations had parallel effects; Model 3 sensitive to receptor degradation/internalization rates.
Conclusions:
- Informed sampling is essential for accurate estimation of influential parameters in target-mediated models.
- Sensitivity analysis effectively identifies critical parameters for model refinement.
- Results guide experimental design for pharmacokinetic studies.
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