The chromatographic separation techniques by recycle exhibit important aspects: improvement of the separation efficiency, lower use of solvent and the increase of the productivity. The use of the recycle in the form of Stead State Recycle (SSR) is usually compared to the chromatographic technique of binary separation by Simu!ated Moving Bed (SMB). Different from this technique which operates in steady state and is truly continuous, SSR is a repetitive although discontinuous system. In the present work the Steady State Recycle was used for the separation and purification of a binary mixture of proteins in chromatography columns using G200 size exclusion resins. Proteins mixture of a-Lactalbumin and -L a c t o g l o b u l i n were used for the processing in Stead State Recycle and forms a chromatographic profile which shows, in its initial and fmal parts, presence of the respective pure proteins. In the middle section o f the pro file there is a mixture o f those two proteins, that is recirculated at the same time a new sample is injected in the process. The fractions o f the protein solution taken out were analyzed by HPLC using a íon exchange column. The results show that the application of the Stead State Recycle (SSR) in protein purification and separation leads to high purity and efficiency. It was observed a decrease ofpurification factor to less than 1.0, which justifies the complement for another stage of the purification process to obtain more concentrated individual protein. The methods orthogonal collocation and Runge-Kutta Gil ware applied to solve the mathematical models for gel filtration in chromatography column using SSR. These mathematical models can be used for the scale-up and optimization o f the separation process by SSR. NOMENCLATURA a-La