We refine the modeling in the P systems area of the way bacteria transmit genetic information in bacterial colonies, specifically the conjugation process. We study this new model from the computational power perspective using methods and ideas in the area; we are able to prove the universality of these systems. We show that systems working in a homogeneous manner and using only 75 species of objects in the regions and 13 species of "on-membrane" objects are enough for reaching universality. The system starts in a initial state with only few (nine) bacteria needed and the "bacteria" from this system are homogeneous, all have the same rules.
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