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The optimization of process conditions leading to higher yield of recombinant protein is an enduring bottleneck in the bioprocess industries. In this work an unstructured kinetic model for the fed-batch cultivation of Escherichia coli expressing recombinant streptokinase has been developed. An optimization procedure based on genetic algorithm approach was developed to determine the optimal substrate feed profile for maximizing the production of recombinant protein. Regardless of the complexity of recombinant protein production, the simple model developed could describe the process satisfactorily and the model based optimal feed trajectory resulted in higher volumetric productivity.