Monodirectional Evolutional Symport Tissue P Systems with Promoters and Cell Division

Monodirectional tissue P systems with promoters are natural inspired parallel computing paradigms, where only symport rules are permitted, and with the restriction of “monodirectionality”, objects for two given regions are transferred in one direction. In this article, a novel kind of P systems, monodirectional evolutional symport tissue P systems with promoters (MESTP P systems) is raised, where objects may be revised during the movement between two regions. The computational theory of MESTP P systems that rules are employed in a flat maximally parallel pattern is investigated. We prove that finite natural number sets are created by MESTP P systems applying one cell, at most 1 promoter and all evolutional symport rules having a maximal length 2 or with arbitrary number of cells, promoters and all evolutional symport rules having a maximal length 2. MESTP P systems are Turing universal when two cells, at most 1 promoter and all evolutional symport rules having a maximal length 2 are employed. In addition, with the help of cell division mechanism, monodirectional evolutional symport tissue P systems with promoters and cell division (MESTPD P systems) are employed to solve NP -complete (the SAT ) problem, where system uses at most 1 promoter and all evolutional symport rules having a maximal length 3. These results show that MESTP(D) P systems are still computationally powerful even if monodirectionality control mechanism is imposed, thereby developing membrane algorithms for MESTP(D) P systems is theoretically possible as well as potentially exploitable.