Simulating R Systems by P Systems

We show multiple ways of how to simulate R systems by non-cooperative P systems with atomic control by promoters and/or inhibitors, or with matter/antimatter annihilation rules, with a slowdown by a constant factor only. The descriptional complexity of the simulating P systems is also linear with respect to that of the simulated R system. All constants depend on how general the model of R systems is, as well as on the chosen control ingredients of the P systems. Special attention is paid to the differences in the mode of rule application in these models.