A survey of the literature has been made to find sets of congeneric antifungal agents whose biological activity has been expressed quantitatively. Linear free energy relations correlating 55 sets of data with hydrophobic and electronic parameters have been formulated. The intrinsic activity of various functional groups under isolipophilic conditions is given on a logarithmic scale. In a number of examples antifungal activity closely parallels antibacterial and hemolytic activity, suggesting that such fungicides hriiig about their action by membrane perturbation.We have been int'erested in the recent efforts to place t'he discussion of biochemical structure-activity relationships in mathematical t'erms. 2-7 A useful mat'hematical model can be constructed from the hyp~t h e s e s~~~ formulated in eq 1 and 2. It is assumedin eq 1 t,hat t'he first 2 terms on the right side account for hydrophobic interact'ions in the movement of drug from point of application to the sites of action. C in eq 1 is the molar concentration causing a standard biological response (IiDjO, EDjo, etc.). Once the drug has reached the site of action, the biological response will be proportional to t,he rat'e or equilibrium constant (kx) of a crit'ical chemical or physical reaction.We have suggested t'hat a Hammett-like treatment can be applied to log kx as shown in eq 2. I n t'hese equations, P st'ands for the octanol-H20 partition coefficient of t'he un-ionized form of t'he drug unless otherwise noted, and electronic and steric effects of the different' members of a set of congeners can be approximat'ed by the use of suitable substituent constants. I n eq 2 , log P accounts for t'he last partitioning step of drug ont'o t'he active site or enzyme. Substitut'ion of eq 2 into eq 1 gives a model of some(1) This work was supported by