Abstract
It is shown that in a system containingn types of mutually noninteracting binding sites, the association constants are then roots of annth order polynomial while the maximum binding capacities can be evaluated by solving a set ofn simultaneous linear equations. Thenth order polynomial and the system ofn linear equations are defined in terms of 2n intermediate coefficients, the coefficients being themselves evaluated by substituting 2n sets of appropriate experimental data into an auxiliary system of 2n linear equations. The existence and uniqueness of the solutions are established.
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Hart, H.E. Determination of equilibrium constants and maximum binding capacities in complexIn vitro systems: I. The mammillary system. Bulletin of Mathematical Biophysics 27, 87–98 (1965). https://doi.org/10.1007/BF02476471
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DOI: https://doi.org/10.1007/BF02476471