A general numerical procedure is developed to solve the integro-differential equation that describes the binary disintegration of macromolecules. The key step in this procedure is the application of the Method of Lines to convert the integro-differential equation into a set of ordinary differential equations which are then integrated using commercial scientific computing software. This procedure is applied to a number of progressively more complex disintegration kinetics and for arbitrary initial concentration distribution. Its performance and potential for generalization are briefly discussed. (C) 2008 American Institute of Chemical Engineers.