Topical carbonic anhydrase inhibitors. III: Optimization model for corneal penetration of ethoxzolamide analogues.

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.