Related Experiment Video
Updated: Jul 10, 2026

08:45
Isothermal Titration Calorimetry for Measuring Macromolecule-Ligand Affinity
Published on: September 7, 2011
The evaluation of non-hyperbolic ligand binding and substrate saturation data using variable Hill coefficients
Biochimica Et Biophysica Acta
|August 7, 1980
Summary
This study introduces a new fitting method for ligand binding and enzyme kinetics. It accurately determines maximal saturation and describes the Hill slope
Area of Science:
- Biochemistry
- Pharmacology
- Enzyme kinetics
Background:
- Ligand binding assays are crucial for understanding biological systems.
- Characterizing cooperativity (positive, negative, mixed) is essential for accurate kinetic modeling.
- Traditional methods for determining maximal saturation can be unreliable, especially when full saturation is not experimentally achievable.
Purpose of the Study:
- To develop a robust fitting method for saturation curves applicable to all ligand binding processes.
- To accurately determine maximal saturation (or maximal velocity) and the concentration-dependent Hill slope.
- To provide a more reliable approach for analyzing systems that cannot be fully saturated.
Main Methods:
- A novel fitting procedure for saturation curve data.
- Calculation of empirical function for Hill slope concentration dependence.
- Application to systems with and without prior knowledge of maximal saturation.
Main Results:
- The method provides reliable 'best values' for maximal saturation, even for experimentally unsaturated systems.
- An empirical function characterizing the Hill slope's concentration dependence is generated.
- The derived Hill slope behavior offers insights into molecular events causing non-hyperbolic kinetics.
Conclusions:
- The proposed method enhances the reliability of maximal saturation determination in ligand binding studies.
- Analysis of the concentration-dependent Hill slope aids in selecting appropriate models for complex biological systems.
- This approach offers a rational basis for understanding non-hyperbolic ligand binding and enzyme kinetics.
Related Concept Videos
Ligand Binding Sites
Proteins are dynamic macromolecules that carry out a wide variety of essential processes; however, the activities of most proteins depend on their interactions with other molecules or ions, known as ligands.
Protein-ligand interactions are quite specific; even though numerous potential ligands surround a cellular protein at any given time, only a particular ligand can bind to that protein. Moreover, a ligand binds only to a dedicated area on the surface of the protein, known as the...
Protein-ligand interactions are quite specific; even though numerous potential ligands surround a cellular protein at any given time, only a particular ligand can bind to that protein. Moreover, a ligand binds only to a dedicated area on the surface of the protein, known as the...
The Equilibrium Binding Constant and Binding Strength
The equilibrium binding constant (Kb) quantifies the strength of a protein-ligand interaction. Kb can be calculated as follows when the reaction is at equilibrium:
Ligand Binding and Linkage
Allosteric proteins have more than one ligand binding site; the binding of a ligand to any of these sites influences the binding of ligands to the other sites. When a protein is allosteric, its binding sites are called coupled or linked. In the case of enzymes, the site that binds to the substrate is known as the active site and the other site is known as the regulatory site. When a ligand binds to the regulatory site, this leads to conformational changes in the protein that can influence the...
The Equilibrium Binding Constant and Binding Strength
The equilibrium binding constant (Kb) quantifies the strength of a protein-ligand interaction. Kb can be calculated as follows when the reaction is at equilibrium:
Quantitative Aspects of Drug-Receptor Interaction
The receptor occupancy theory connects a drug's response to the number of occupied receptors. With higher drug concentrations, more receptors are occupied, leading to increased responses. The formation of drug-receptor complexes involves association and dissociation rates, which reach equilibrium when the forward and backward reactions are equal. The equilibrium association constant (Ka) and its inverse, the equilibrium dissociation constant (Kd), indicate drug affinity. Higher Ka and lower Kd...
Ladder Diagrams: Complexation Equilibria
Ladder diagrams are useful for evaluating equilibria involving metal-ligand complexes. The vertical scale of the ladder diagram represents the concentration of unreacted or free ligand, pL. The horizontal lines on the scale depict the log of stepwise formation constants for metal-ligand complexes and indicate the dominant species in all the regions.
The formation constant, K1, for the formation of Cd(NH3)2+ complex from cadmium and ammonia is 3.55 × 102. Log K1 (i.e. pNH3) is 2.55, and...
The formation constant, K1, for the formation of Cd(NH3)2+ complex from cadmium and ammonia is 3.55 × 102. Log K1 (i.e. pNH3) is 2.55, and...

