Abstract

A mathematical model is developed which allows the concentrations of the five individual species in a solution comprising cyclodextrin, drug and competitor (i.e. free drug, free competitor, complexed drug, complexed competitor and uncomplexed cyclodextrin) to be calculated. The cubic equation is solved by Newton-Raphson iteration to provide the concentration of free drug in the system ([A]) and a BASIC program is presented which undertakes the calculations automatically. Application to simpler cases, for example, the absence of competitor or the dissolution of a 1:1 complex, are identified and the effect of variables on the fraction of free drug is illustrated.

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