New twists on an old story: hemoglobin

Analysis of parameter resolution from derivatives of binding isotherms

Examination of binding information in the form of derivative (or finite difference) measurements is explored (1) experimentally by a thin-layer optical procedure (Dolman, D. & Gill, S. J. (1978) Anal. Biochem. 87, 127-134) and (2) theoretically by simulation in order to determine the influence of the number of data points and their standard error upon the resolvability of binding parameters in cooperative and non-cooperative systems. The data is described by the difference in optical absorbance divided by the change in the logarithm of the ligand activity and each data point is assumed to be influenced by a random error with a given variance. It is found that increasing the number of data points, which in turn effectively reduces the magnitude of the observed absorbance changes, results in an increase in the uncertainty of the resolved parameters of the system. The effect is verified by both experimental and simulation studies. Thus one is led to suggest that fewer measurements for the change of absorbance with larger magnitudes produces the most favorable situation for parameter resolution when the data is in the form of finite difference measurements.

Information theory and the analysis of ligand-binding data

The phenomenological principles of information theory are used in the analysis of ligand-binding phenomena in biological macromolecules. Information maps are constructed to visualize regions of ligand chemical potential with maximum amount of information and to devise suitable experimental strategies therefrom. Extensive simulation studies and analysis of experimental data also point out the properties of information used as a weighting procedure in nonlinear least-squares analyses.

Mechanisms of cooperativity and allosteric regulation in proteins

AUosteric proteins control and coordinate chemical events in the living cell. When Monod conceived that idea he said that he had discovered the second secret of life. The first was the structure of DNA. The theory as published by Monodet al.(1963) was concerned chiefly with cooperativity and feedback inhibition of enzymes, such as the inhibition of threonine deaminase, the first enzyme in the pathway of the synthesis of isoleucine, by isoleucine, and its activation by valine. Two years later the theory was formalized by Monodet al.(1965).