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Computational methods for fitting statistical distribution models of multi-site binding equilibria
Authors:Rudolph S Parrish and E Michael Perdue
Institution:(1) Computer Sciences Corporation, c/o U. S. Environmental Protection Agency, College Station Road, 30613 Athens, Georgia;(2) School of Geophysical Sciences, Georgia Institute of Technology, 30332 Atlanta, Georgia
Abstract:Statistical distribution models of multi-site binding equilibria have potential applicability in the study of acid-base and metal complexation chemistry of humic substances in soils, sediments, and natural waters. A mathematical derivation is presented for the general continuous model for the case of proton binding; computational methods are described for fitting numerically the parameters in such models. Among models considered are those based on nontruncated, truncated, and bimodal (mixed) distributions. Specific emphasis is placed on Gaussian distribution models.
Keywords:Gaussian distribution  humic substances  metal binding  multi-site binding equilibria  proton binding  statistical distribution
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