Fresnel number: Difference between revisions

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The '''Scatchard equation''' is an equation for calculating the [[Dissociation_constant#Protein-ligand_binding|affinity]] constant of a [[ligand]] with a [[protein]].  The Scatchard equation is given by
 
:<math>\frac{r}{c} = nK_a - rK_a </math>
 
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.
 
''K<sub>a</sub>'' is the association (affinity) constant from the equation
 
:<math>K_a = \frac{[Ab-Ag]}{[Ab][Ag]} </math>
 
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 ''-K<sub>a</sub>'' and a Y-intercept of ''nK<sub>a</sub>''. 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.
 
== See ==
* [http://www.biochem.oulu.fi/Biocomputing/juffer/Teaching/PhysicalBiochemistry/PhysBiochem-protein-ligand.pdf lecture with derivation]
[[Category:Biochemistry methods]]
[[Category:Proteins]]
 
 
{{biochem-stub}}

Latest revision as of 03:23, 27 December 2014

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