The synthesis of the protected dipeptide BocGly-PheOMe, has been modellised when working in an aqueous-organic biphasic system, with papain as a catalyst. The mathematical model takes into account that one of the substrates, PheOMe, has parallel hydrolysis reactions and that the reaction only takes place in the aqueous phase while the whole reaction system is biphasic. The reaction system has been modellised when working in batch as well as when working in fed-batch mode, achieving a good prediction of the product evolution for both working strategies. When working in fed-batch mode, the extension of the undesired parallel reactions has been diminished, the model has been used for a computer aided optimisation of the addition sequence of PheOMe. The results obtained led to a process operation strategy with a compromise between yield and productivity.