Canonical formulation of linkage thermodynamics

Area of Science:

• Thermodynamics
• Biophysical Chemistry
• Biochemistry

Background:

• Distinguishing between physical and chemical binding is often challenging.
• Thermodynamic potentials offer a unified framework for understanding physico-chemical systems.
• Biological macromolecules exhibit complex binding phenomena.

Purpose of the Study:

• To unify the understanding of physical and chemical binding phenomena.
• To introduce a quantitative framework for analyzing generalized binding.
• To explore the functional properties of biological macromolecules.

Main Methods:

• Utilizing the canonical structure of thermodynamic potentials.
• Applying Jacobian transformations to thermodynamic potentials.
• Introducing and employing linkage matrices.

Main Results:

• The canonical structure of thermodynamic potentials eliminates distinctions between physical and chemical binding.
• Jacobian transformations yield linkage relations for equilibrium thermodynamics.
• Linkage matrices provide a quantitative basis for generalized binding analysis.

Conclusions:

• A unified approach to binding phenomena is established through thermodynamic potentials.
• Linkage matrices offer a powerful tool for quantitative analysis of macromolecular function.
• This framework advances the understanding of generalized binding in biological systems.