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where r is the ratio of the concentration of bound ligand to total available binding sites, c is the concentration of free ligand, and n is the number of binding sites per protein molecule.
Ka is the association (affinity) constant from the equation
where Ab is the binding site on the antibody, Ag is a monovalent antigen, and Ag-Ab is antigen-bound antibody.
The Scatchard equation is sometimes referred to as the Rosenthal-Scatchard equation.
Plotting this data, r/c vs r, yields the Scatchard plot with a slope -Ka and a Y-intercept of nKa. Relative binding affinities between two sites can be distinguished with a line showing identical affinity and a curve showing different affinities.
The Scatchard equation is named after the former MIT Chemistry Department member George Scatchard, an American chemist, 1892–1973.
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