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An analogue series representing modification to the benzene ring of ethoxzolamide has been evaluated for solubility, pKa, partitioning, and permeability across excised rabbit corneas. These physical parameters were correlated to Hammett sigma (para) and/or Hansch pi parameter values for each compound. From these correlations, a mathematical model was developed relating corneal permeability to molecular modifications of ethoxzolamide. A three-dimensional plot of maximum attainable penetration rate versus sigma (para) and pi yielded an optimal range of pi and sigma values from which an optimally penetrating analogue could be designed.

Ethoxzolamide (1) and two analogues, representing a hydroxyethoxy and a hydrogen substitution on the 6-position of the benzene ring (2 and 3), were applied to rabbit eyes using a topical infusion method designed to provide a constant rate into aqueous humor. Statistical-moment theory was applied to the topical infusion data to describe disposition of each compound within the rabbit eye. For each analogue, it was possible to compare the corneal absorption rate constant (ka), aqueous humor elimination rate constant (k10), disposition mean residence time (MRTd), apparent steady-state volume of distribution (Vdss), and total ocular clearance (Qe). In vivo ocular ka values were related to maximum in vitro corneal penetration rates determined across excised rabbit corneas. In particular, 2 had a much longer residence time and a slower clearance than 1 and 3, which may be responsible for its ability to lower intraocular pressure when dosed topically to the rabbit eye, whereas 1 and 3 show no activity.