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\section{Abstract}  The bacterial conjugation, despite of its importance, is poorly understood systemically. In this work we propose a new framework for the individual-based modeling which hinge on two main key points, namely the cell-cycle timing when conjugative is most likely to occur and the metabolic penalizations incurred by donor cells during the conjugative transfer and by the transconjugants cells once they have been infected and have to express the required gene products for the plasmid housekeeping. We have evaluated the model predictions using eight different plasmids on E. coli host. host \textDelta.  \section{Introduction}