A Modeling Approach Based on P Systems with Bounded Parallelism

This paper presents a general framework for modelling with membrane systems that is based on a computational paradigm where rules have associated a finite set of attributes and a corresponding function. Attributes and functions are meant to provide those extra features that allow to define different strategies to run a P system. Such a strategy relying on a bounded parallelism is presented using an operational approach and applying it for a case study presenting the basic model of quorum sensing for Vibrio fischeri bacteria.Ministerio de Ciencia y Tecnología TIN2005-09345-C04-01Junta de Andalucía TIC-58

Frequency Membrane Systems

We define a model of membrane system where each membrane is clocked independently from the others, in the sense that every derivation step is applied without a global synchronization. The computation is obtained by the execution of a limited amount of rules in each membrane, and only when they are allowed to execute a derivation step. Indeed, each membrane operates with a certain work frequency that can change across the system. Simple results show that this model is at least as powerful as the usual one, and the goal is to present a few examples that show it giving rise to interesting dynamic behaviors