A group of thermodynamic potentials applicable to ligand binding by a polyfunctional macromolecule

Area of Science:

• Biophysical Chemistry
• Biochemistry
• Theoretical Chemistry

Background:

• Macromolecule-ligand binding is fundamental to biological processes.
• Existing models often lack a unified framework for diverse experimental conditions.
• Understanding linkage phenomena is crucial for interpreting binding data.

Purpose of the Study:

• To introduce a new mathematical group to describe macromolecule-ligand binding potentials.
• To provide a unified theoretical framework applicable across various experimental conditions.
• To offer a clear distinction between true and pseudolinkage phenomena.

Main Methods:

• Derivation of a group of potentials from energy principles.
• Exploration of the group's properties, including its Abelian nature and isomorphism with symmetry groups.
• Application of information theory to interpret the group as a response program.

Main Results:

• The proposed group encompasses all possible linkage relations for macromolecules.
• Each group member represents specific experimental conditions (open/closed systems for ligands).
• The framework facilitates the formulation of ligand effects on equilibrium constants.

Conclusions:

• The mathematical group offers a comprehensive model for macromolecule-ligand interactions.
• It provides a rigorous method for distinguishing true linkage from pseudolinkage.
• This approach enhances the understanding of molecular recognition and binding thermodynamics.