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The irreversible binding of 2‐site ligands to hetereogeneous polymers
Author(s) -
Schumaker Mark F.,
Epstein Irving R.
Publication year - 1990
Publication title -
biopolymers
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.556
H-Index - 125
eISSN - 1097-0282
pISSN - 0006-3525
DOI - 10.1002/bip.360291002
Subject(s) - chemistry , kinetics , independence (probability theory) , ligand (biochemistry) , polymer , series (stratigraphy) , thermodynamics , computational chemistry , organic chemistry , mathematics , physics , statistics , classical mechanics , biochemistry , receptor , paleontology , biology
We obtain an analytical solution for the binding of 2‐site ligands to a heterogeneous lattice. The model also describes the kinetics of chemical reactions between adjacent pendant groups of a copolymer. Our analysis is based on the principle of independence , as formulated by Gonzalez and Hemmer. Several special cases are solved in closed form; a power series solution is developed for the general problem. The results may be modified to take into account fixed total ligand. We also analyze competition between 1‐site and 2‐site ligands. As an illustration of the results, we examine in detail the kinetics and final extent of binding for two special cases.

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