Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)This work presents an alternative numerical resolution strategy for a model to describe the dynamic of linear adsorption processes involving multicomponent mixture of taxanes with Taxol (R) (paclitaxel), a powerful anti-cancer agent, and non-identified impurities, in a Simulated Moving Bed (SMB) system. To solve the model, a hybrid method were used. The liquid concentration inside the particles was found analytically and was related with the liquid bed concentration using Duhamel's theorem. The results from simulation were compared with experimental ones from the literature, showing a good agreement, which demonstrated the applicability of the model and of the hybrid resolution proposed.53614331441Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FAPESP [01/08101-3]