@article {498, title = {Efficient simulation of tissue-like P systems by transition cell-like P systems}, journal = {Natural Computing}, volume = {8}, year = {2009}, month = {12/2009}, pages = {797-806}, publisher = {Springer Verlag}, address = {Amsterdam, Netherlands}, abstract = {In the framework of P systems, it is known that the construction of exponential number of objects in polynomial time is not enough to efficiently solve NP-complete problems. Nonetheless, it could be sufficient to create an exponential number of membranes in polynomial time. Working with P systems whose membrane structure does not increase in size, it is known that it is not possible to solve computationally hard problems (unless P = NP), basically due to the impossibility of constructing exponential number of membranes, in polynomial time, using only evolution, communication and dissolution rules. In this paper we show how a family of recognizer tissue P systems with symport/antiport rules which solves a decision problem can be efficiently simulated by a family of basic recognizer P systems solving the same problem. This simulation allows us to transfer the result about the limitations in computational power, from the model of basic cell-like P systems to this kind of tissue-like P systems.}, issn = {1567-7818 }, doi = {10.1007/s11047-008-9102-z}, url = {http://dx.doi.org/10.1007/s11047-008-9102-z}, author = {Daniel D{\'\i}az-Pernil and Mario J. P{\'e}rez-Jim{\'e}nez and {\'A}lvaro Romero-Jim{\'e}nez} }