Analysis and Simulation of Dynamics in Probabilistic P Systems

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DNA Computing (DNA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3892))

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Abstract

We introduce dynamical probabilistic P systems, a variant where probabilities associated to the rules change during the evolution of the system, as a new approach to the analysis and simulation of the behavior of complex systems. We define the notions for the analysis of the dynamics of these systems and we show an application for the investigation of the properties of the Brusselator (a simple scheme for the Belousov-Zhabothinskii reaction).

Work supported by the Italian Ministry of University (MIUR), under project PRIN-04 “Systems Biology: modellazione, linguaggi e analisi (SYBILLA)”.

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References

  1. Ardelean, I.I., Besozzi, D., Garzon, M.H., Mauri, G., Roy, S.: P system models for mechanosensitive channels. In: [4]

    Google Scholar 

  2. Ardelean, I.I., Cavaliere, M.: Modelling biological processes by using a probabilistic P system software. Natural Computing 2, 173–197 (2003)

    Article  MATH  Google Scholar 

  3. Bianco, L., Fontana, F., Franco, G., Manca, V.: P systems for biological dynamics. In: [4]

    Google Scholar 

  4. Ciobanu, G., Păun, G., Pérez-Jiménez, M.J. (eds.): Applications of Membrane Computing. Springer, Berlin (in press)

    Google Scholar 

  5. Gillespie, D.T.: Exact stochastic simulation of coupled chemical reactions. Journ. Phys. Chem. 81, 2340–2361 (1977)

    Article  Google Scholar 

  6. Obtułowicz, A., Păun, G.: (In search of) probabilistic P systems. BioSystems 70, 107–121 (2003)

    Article  Google Scholar 

  7. Madhu, M.: Probabilistic rewriting P systems. Int. J. Found. Comput. Sci. 14(1), 157–166 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  8. Păun, G.: Computing with membranes. Journal of Computer and System Sciences 61(1), 108–143 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  9. Păun, G.: Membrane Computing. An introduction. Springer, Berlin (2002)

    Book  MATH  Google Scholar 

  10. Pérez-Jiménez, M.J., Romero-Campero, F.J.: Modelling EGFR signalling cascade using continuous membrane systems. In: Plotkin, G. (ed.) Pre-Proceedings of CMSB, Edinburgh, April 3-5, pp. 118–129 (2005)

    Google Scholar 

  11. Prigogine, I., Lefever, R.: Symmetry breaking instabilities in dissipative systems. II. Journ. Chem. Phys. 48, 1695–1700 (1968)

    Article  Google Scholar 

  12. Suzuki, Y., Tanaka, H.: Abstract rewriting systems on multisets and their application for modelling complex behaviours. In: Cavaliere, M., Martín-Vide, C., Păun, G. (eds.) Rovira i Virgili Univ. Tech. Rep. 26, pp. 313–331. Brainstorming Week on Membrane Computing, Tarragona (2003)

    Google Scholar 

  13. Tyson, J.J.: Some further studies of nonlinear oscillations in chemical systems. Journ. Chem. Phys. 58, 3919–3930 (1973)

    Article  Google Scholar 

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Pescini, D., Besozzi, D., Zandron, C., Mauri, G. (2006). Analysis and Simulation of Dynamics in Probabilistic P Systems. In: Carbone, A., Pierce, N.A. (eds) DNA Computing. DNA 2005. Lecture Notes in Computer Science, vol 3892. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11753681_19

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  • DOI: https://doi.org/10.1007/11753681_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34161-1

  • Online ISBN: 978-3-540-34165-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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