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Membrane computing and P systems are a paradigm of massively parallel naturalcomputing introduced by Gheorghe P\u{a}un in 1999, inspired by the structure ofthe living cell and by its biochemical reactions. In spite of this explicitbiological motivation, P systems have not been extensively used in modellingreal-world systems. To confirm this intuition, we establish a state of the artinvestigation comparing the use of P systems to that of Boolean networks inthis line of research. We then propose to use P systems as a tool for settingup formal frameworks to reason about other formalisms, and we introduce BooleanP systems, specifically tailored for capturing sequential controllability ofBoolean networks. We show how to tackle some technical challenges and provethat sequential controllability properly embeds in the framework of Boolean Psystems.

P versus B: P Systems as a Formal Framework for Controllability of Boolean Networks