@article {959, title = {Kernel P Systems - Version I}, journal = {Eleventh Brainstorming Week on Membrane Computing (11BWMC)}, year = {2013}, month = {08/2013}, pages = {97-124}, publisher = {F{\'e}nix Editora}, address = {Sevilla, Espa{\~n}a}, abstract = {A basic P system, called kernel P system4 (kP system for short), combining features of di erent P systems introduced and studied so far is de ned and discussed. The structure of such systems is de ned as a dynamic graph, similar to tissue-like P systems, the objects are organised as multisets, and the rules in each compartment, rewriting and communication together with system structure changing rules, are applied in accordance with a speci c execution strategy. The de nition of kP systems is introduced and some examples illustrate this concept. Two classes of P systems, namely neural-like and generalised communicating P systems are simulated by kP systems. Some case studies prove the expressive power of these systems.}, isbn = {978-84-940691-9-2}, url = {http://www.gcn.us.es/files/11bwmc/097_gheorghe_ipate.pdf}, author = {Marian Gheorghe and Florentin Ipate and Ciprian Dragomir and Laurentiu Mierla and Luis Valencia-Cabrera and Manuel Garc{\'\i}a-Quismondo and Mario J. P{\'e}rez-Jim{\'e}nez} }