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Computational Power of Chemical Kinetics in Living Cells

Membrane computing is a branch of natural computing working with parallel and nondeterministic computing models abstracting the living cell. We present mobile membranes in which the movement is provided by rules inspired by cells endocytosis and exocytosis. Their computational power is compared with the classical notion of Turing computability. These mobile membranes can algorithmically solve hard problems in polynomial time. Considering proteins on the surface of mobile membranes, we can increase the modelling power of mobile membranes.