2010 | OriginalPaper | Chapter
On the Power of Computing with Proteins on Membranes
Authors : Petr Sosík, Andrei Păun, Alfonso Rodríguez-Patón, David Pérez
Published in: Membrane Computing
Publisher: Springer Berlin Heidelberg
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P systems with proteins on membranes are inspired closely by switching protein channels. This model of membrane computing using membrane division has been previously shown to solve an NP-complete problem in polynomial time. In this paper we characterize the class of problems solvable by these P systems in polynomial time and we show that it equals
PSPACE
. Therefore, these P systems are computationally equivalent (up to a polynomial time reduction) to the alternating Turing machine or the PRAM computer. The proof technique we employ reveals also some interesting trade-offs between certain P system properties, as antiport rules, membrane labeling by polarization or the presence of proteins.