A unifying mathematical framework for experimental TCR-pMHC kinetic constants

Area of Science:

• Immunology
• Biochemistry
• Biophysics

Background:

• T cell receptor (TCR) activation by protein antigens is crucial for immune responses.
• Existing experimental assays for TCR-ligand interactions yield diverse kinetic data.
• Recent 2D assays challenge established models of TCR-ligand kinetics and T cell activation.

Purpose of the Study:

• To present a general mathematical framework for unifying fundamental and effective kinetic constants.
• To describe and compare state-of-the-art experimental methods for receptor-ligand interactions.
• To bridge the gap between different experimental techniques and theoretical understanding.

Main Methods:

• Development of a general mathematical framework.
• Analysis of kinetic constants (on-rate, off-rate) in TCR-ligand interactions.
• Comparison of 2D and 3D experimental assays.

Main Results:

• The framework predicts correlations between functional output (e.g., 1/EC50) and effective kinetic constants.
• It applies to a range of experimental assays in both 2D and 3D.
• Demonstrates a method to translate biochemical characterization across different assays.

Conclusions:

• The proposed framework offers a unified approach to understanding TCR-ligand interactions.
• It reconciles kinetic data from diverse experimental methods, including novel 2D assays.
• The approach has broader applications in biochemical characterization beyond immunology.