A new approach for calculating association constants from macromolecule-ligand binding isotherms

The calculation of association constants from measurements of the average number of ligands bound to a macromolecule can be reduced to the solution of a set of linear algebraic equations. However, in practice various approximations and graphical procedures have been preferred because the equations a...

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Bibliographic Details
Published in:Mathematical biosciences 1982-01, Vol.58 (1), p.83-92
Main Author: Squire, William
Format: Article
Language:English
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Summary:The calculation of association constants from measurements of the average number of ligands bound to a macromolecule can be reduced to the solution of a set of linear algebraic equations. However, in practice various approximations and graphical procedures have been preferred because the equations are very ill conditioned. A method is proposed in which a formal integration transforms the equations into the Vandermonde form, for which special methods of solution are available. The required integration is carried out by spline functions in an iterative procedure. The method gave satisfactory results for synthetic data based on the association constants for the binding of copper ions to ovalbumin, provided the data were extended to very low concentrations. Also a common error in the use of the extended Scatchard method for determining association constants is analyzed.
ISSN:0025-5564
1879-3134
DOI:10.1016/0025-5564(82)90052-9