We present a simulation tool to predict the behavior of single regions in dynamical probabilistic P systems with reduced size, that is, membrane systems with probability values associated to rules that dynamically change during the evolution, where the number of objects whose evolution is analyzed is not greater than 2. The tool is based on the construction of a grid over the phase space of a region, which is then used to evaluate the mean displacement of each multiset in the grid and to build the vector field of that region. As a consequence, we can predict the local evolutions (i.e., the behavior of the system inside each membrane) for all possible choices of initial multisets. We show some applications of this method to investigate the dynamics of two simple abstract toy-systems and of the Lotka-Volterra model.

Pescini, D., Besozzi, D., & Mauri, G. (2005). Investigating local evolutions in dynamical probabilistic P systems. In Seventh International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2005. SYNASC 2005 (pp.440-447). LOS ALAMITOS, CA : IEEE Computer Society [10.1109/SYNASC.2005.41].

Investigating local evolutions in dynamical probabilistic P systems

PESCINI, DARIO;BESOZZI, DANIELA;MAURI, GIANCARLO
2005

Abstract

We present a simulation tool to predict the behavior of single regions in dynamical probabilistic P systems with reduced size, that is, membrane systems with probability values associated to rules that dynamically change during the evolution, where the number of objects whose evolution is analyzed is not greater than 2. The tool is based on the construction of a grid over the phase space of a region, which is then used to evaluate the mean displacement of each multiset in the grid and to build the vector field of that region. As a consequence, we can predict the local evolutions (i.e., the behavior of the system inside each membrane) for all possible choices of initial multisets. We show some applications of this method to investigate the dynamics of two simple abstract toy-systems and of the Lotka-Volterra model.
paper
Membrane systems, stochastic simulation
English
Int. Symp. on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC'05)
0-7695-2453-2
Pescini, D., Besozzi, D., & Mauri, G. (2005). Investigating local evolutions in dynamical probabilistic P systems. In Seventh International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2005. SYNASC 2005 (pp.440-447). LOS ALAMITOS, CA : IEEE Computer Society [10.1109/SYNASC.2005.41].
Pescini, D; Besozzi, D; Mauri, G
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/4110
Citazioni
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 10
Social impact