Inapplicability of “Scatchard‐type” analysis to highly cooperative binding systems
作者:
Kenneth S. Schmitz,
期刊:
Biopolymers
(WILEY Available online 1977)
卷期:
Volume 16,
issue 1
页码: 143-155
ISSN:0006-3525
年代: 1977
DOI:10.1002/bip.1977.360160111
出版商: Wiley Subscription Services, Inc., A Wiley Company
数据来源: WILEY
摘要:
AbstractThere are several studies of small molecule binding by biopolymers which use “Scatchard‐type” plots to determine the intrinsic binding constant (k) and pairwise interaction energy between bound sites (S). “Scatchard‐type” refers to the plot ln (r/m(n–r)) versusrin this text whereas “Scatchard plot” conventionally refers to the plotr/mversusr. The quantitiesr,n, andmare, respectively, the average bound ligand/site, ligand/site at saturation, and concentration of free ligand. Although these plots result from approximate solutions to the problem of binding small molecules on a general three‐dimensional lattice, they are often used to represent binding isotherms in linear systems for which the solutions are known exactly. A critical examination regarding the applicability of “Scatchard‐type” analysis to systems with a large number of binding sites is presented herein.Both experimental and simulated binding data are analyzed by “Scatchard‐type” and exact nearest neighbor plots (θ versus lnm, where θ =r/n). Numerical determination ofkandSfor the two theoretical approaches differ greatly in highly cooperative systems although their theoretical equivalence (interconversion) is demonstrated. A modified Scatchard theory, which correctly counts the degenerate energy states, is presented which reconciles this discrepancy. The “Scatchard‐type” plot for the modified theory in the highly cooperative limit is mathematically equivalent to the form ln (r/n–r) +p, wherepcontains all the molecular information and locates ther/n= 1/2 point. Contrary to the original theory, therdependence in the “Scatchard‐type” representation is devoid of molecular interpretation and is characterized by curvature in the low and high‐binding regions with a (maximum) slope of 4 atr/n= 1/2. The modified theory is shown to reproduce accurately the poly(cytidylic acid)‐guanosine data of Sarocchi et al. and to account for the m
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