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Discrete Dynamics in Nature and Society
Volume 2015 (2015), Article ID 123960, 11 pages
http://dx.doi.org/10.1155/2015/123960
Research Article

Research on P System with Chain Structure and Application and Simulation in Arithmetic Operation

School of Economics and Management, Beihang University, Beijing 100191, China

Received 19 August 2014; Accepted 24 December 2014

Academic Editor: Zhan Zhou

Copyright © 2015 Jing Luan and Zhong Yao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Considering the advantages of distribution and maximum parallelism of membrane computing and availability of discrete Morse theory to deal with discrete structure, in this paper, combining discrete Morse theory and membrane computing, a novel membrane structure—P system with chain structure, is proposed, which is constructed on the basis of discrete gradient vector path of the discrete Morse theory. At the theoretical level, due to its unique chain structure, compared with traditional P system, its structure, object, and rule are described in details. In the practical aspect, a specific application example, P chain system for arithmetic operation, is presented to demonstrate the superiority, computational efficiency, and ability of P system with chain structure. Moreover, a simulation system of arithmetic operations based on P chain system is designed, giving a visual display of the implementation of P chain system for arithmetic operation, and verifying the feasibility and effectiveness of P chain system.