Mathematical model for determining the binding constants between immunoglobulins, bivalent ligands, and monovalent ligands

Document Type

Article

Publication Date

2-1-2011

Abstract

This paper analyzes the equilibria between immunoglobulins (R2), homo-bifunctional ligands (L2), monovalent ligands (I), and their complexes. We present a mathematical model that can be used to estimate the concentration of each species present in a mixture of R 2, L 2, and I, given the initial conditions defining the total concentration of R2, L2, I, and four dissociation constants (Kdinter, Kdintra, K dmono, and α). This model is based on fewer assumptions than previous models and can be used to describe exactly a broad range of experimental conditions. A series of curves illustrates the dependence of the equilibria upon the total concentrations of receptors and ligands, and the dissociation constants. We provide a set of guidelines for the design and analysis of experiments with a focus on estimating the binding constants from experimental binding isotherms. Two analytical equations relate the conditions for maximum aggregation in this system to the binding constants. This model is a tool to quantify the binding of immunoglobulins to antigens and a guide to understanding and predicting the experimental data of assays and techniques that employ immunoglobulins. © 2010 Springer-Verlag.

Identifier

79451471770 (Scopus)

Publication Title

Analytical and Bioanalytical Chemistry

External Full Text Location

https://doi.org/10.1007/s00216-010-4477-y

e-ISSN

16182650

ISSN

16182642

PubMed ID

21161645

First Page

1641

Last Page

1652

Issue

4

Volume

399

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