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An allosteric binding system consisting of a single ligand and a nondissociating macromolecule having multiple binding sites can be represented by a binding polynomial. Various properties of the binding process can be obtained by analyzing the coefficients of the binding polynomial and such functions as the binding curve and the Hill plot. The Hill plot has(More)
A quantitative measure of the validity of the MWC description of cooperative binding equilibria has been obtained which uses only the Adair constants. This is accomplished through simple relationships using the zeros of the Adair binding polynomial and unique properties of the zeros of MWC polynomials as described in the accompanying paper (W.E. Briggs,(More)
Given a binding polynomial in Adair form, A(x) = 1 + beta 1 x + ... + beta n x n, beta i greater than or equal to 0, a basic problem is to determine a method of fitting a model polynomial to A(x) and a quantitative measure of the goodness of fit. This paper presents such a method for fitting Monod-Wyman-Changeux (MWC) model polynomials when A(x) is of(More)
The relationships between cooperativity types, both macro- and microscopic, and extrema of the slope of Hill plots for symmetric binding polynomials of degrees three and four are analyzed in detail. It is shown that the Hill plot for 1 + ax + ax 2 + x3 has three extrema for a greater than 15 which occurs in the presence of totally negative microscopic(More)
Cooperativity in the protein-ligand binding process is discussed in terms of the zeros of the binding polynomial and the corresponding possible factorizations of the binding polynomial into polynomials having non-negative coefficients. Particular attention is paid to the case in which the real parts of all zeros are negative (Hurwitz polynomial) and the(More)
A film filing system using color coding of the last two digits of assigned numbers was compared with a system designed around the current film file and readily available patient identifiers: name, sex, and date of examination. In the FASD system (filed alphabetically by sex and date), films are filed in time units by date of last activity and within these(More)
Considerable experimental evidence has been produced recently that shows that in the binding of oxygen or carbon monoxide to certain tetrameric hemoglobins, the triply-ligated species is virtually non-existent. The binding polynomial representing this phenomenon for the general case is P(x) = 1 + beta 1x + ... + beta n-1xn-1 + beta nxn, where beta n-1 is(More)