A lipase from Aspergillus niger immobilized by adsorption on microporous, polypropylene hollow fibers was used to effect the hydrolysis of the glycerides of melted butterfat at 40 degrees C and pH 7.0. Mcllvane buffer was pumped through the lumen and melted butterfat was pumped cocurrently through the shell side of a shell-and-tube reactor. Nonlinear regression methods were employed to determine the kinetic parameters of three nested rate expressions derived from a Ping Pong Bi Bi enzymatic mechanism coupled with three nested rate expressions for the thermal deactivation of the enzyme. For the reaction conditions used in this research, a four-parameter rate expression (which includes a two-parameter deactivation rate expression and a two-parameter hydrolysis rate expression) is sufficient to model the overall release of free fatty acids from the triglycerides of butterfat as a function of space time and time elapsed after immobilization. At a space time of 3.7 h immediately after immobilization of lipase, 50% of the fatty acid residues esterified in the sn-1,3 positions of the triglycerides can be released in the hollow-fiber reactor.