Related Experiment Video
Updated: May 24, 2026

Experimental Quantification of Interactions Between Drug Delivery Systems and Cells In Vitro: A Guide for Preclinical Nanomedicine Evaluation
Published on: September 28, 2022
Mathematical simulations for bioanalytical assay development: the (un-)necessity and (im-)possibility of free drug
Roland F Staack1, Gregor Jordan, Julia Heinrich
1Roche Diagnostics GmbH, pRED, Pharma Research & Early Development, Biologics Research, Department of Bioanalytics, Nonnenwald, 282377 Penzberg, Germany. roland.staack@roche.com
Abstract:
For every drug development program it needs to be discussed whether discrimination between free and total drug concentrations is required to accurately describe its pharmacokinetic behavior. This perspective describes the application of mathematical simulation approaches to guide this initial decision based on available knowledge about target biology, binding kinetics and expected drug concentrations. We provide generic calculations that can be used to estimate the necessity of free drug quantification for different drug molecules. In addition, mathematical approaches are used to simulate various assay conditions in bioanalytical ligand-binding assays: it is demonstrated that due to the noncovalent interaction between the binding partners and typical assay-related interferences in the equilibrium, a correct quantification of the free drug concentration is highly challenging and requires careful design of different assay procedure steps.
Related Concept Videos
Fundamental Mathematical Principles in Pharmacokinetics: Mathematical Expressions and Units
One significant application of mathematics in pharmacokinetics is the characterization of drug distribution through the volume of distribution...
Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs
On the other hand, integral calculus focuses on...
Measurement of Bioavailability: Pharmacodynamic Methods
Measurement of Bioavailability: Pharmacokinetic Methods
Dosage Regimens: Partial Pharmacokinetic Parameters
Model-Independent Approaches for Pharmacokinetic Data: Noncompartmental Analysis
One important characteristic of noncompartmental analyses is that drug exposure increases proportionally with increasing doses. This relationship...

