Skip to main content

Evolution and Oscillation in P Systems: Applications to Biological Phenomena

  • Conference paper
Membrane Computing (WMC 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3365))

Included in the following conference series:

Abstract

Some computational aspects and behavioral patterns of P systems are considered, emphasizing dynamical properties that turn useful in characterizing the behavior of biological and biochemical systems. A framework called state transition dynamics is outlined in which general dynamical concepts are formulated in completely discrete terms. A metabolic algorithm is defined which computes the evolution of P systems modeling important phenomena of biological interest once provided with the information on the initial state and reactivity parameters, or growing factors. Relationships existing between P systems and discrete linear systems are investigated. Finally, exploratory considerations are addressed about the possible use of P systems in characterizing the oscillatory behavior of biological regulatory networks described by metabolic graphs.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bernardini, F., Manca, V.: Dynamical aspects of P systems. BioSystems 70, 85–93 (2002)

    Article  Google Scholar 

  2. Bianco, L., Fontana, F., Franco, G., Manca, V.: P systems for biological dynamics. In: Ciobanu, G., Păun, G., Pérez-Jiménez, M.J. (eds.) Applications of Membrane Computing. Springer, Berlin (2005)

    Google Scholar 

  3. Bonanno, C., Manca, V.: Discrete dynamics in biological models. Romanian J. of Inform. Sc. and Tech. 5(1–2), 45–67 (2002)

    Google Scholar 

  4. Devaney, R.L.: Introduction to Chaotic Dynamical Systems. Addison-Wesley, Reading (1989)

    MATH  Google Scholar 

  5. Freund, R.: Energy-controlled P systems. In: Păun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) WMC 2002. LNCS, vol. 2597, pp. 247–260. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  6. Hilborn, R.C.: Chaos and Nonlinear Dynamics. Oxford University Press, Oxford (2000)

    Book  MATH  Google Scholar 

  7. Jones, D.S., Sleeman, B.D.: Differential Equations and Mathematical Biology. Chapman & Hall/CRC, London (2003)

    MATH  Google Scholar 

  8. Kailath, T.: Linear Systems. Prentice-Hall, Englewood Cliffs (1980)

    MATH  Google Scholar 

  9. Kauffman, S.A.: The Origins of Order. Oxford University Press, New York (1993)

    Google Scholar 

  10. Langton, C.G.: Computation at the edge of chaos: phase transitions and emergent computation. Physica D 42, 12 (1990)

    Article  MathSciNet  Google Scholar 

  11. Manca, V., Franco, G., Scollo, G.: State transition dynamics: basic concepts and molecular computing perspectives. In: Gheorghe, M. (ed.) Molecular Computational Models: Unconventional Approaches, Idea Group Inc. (2004)

    Google Scholar 

  12. Martin-Vide, C., Pǎun, G., Rozenberg, G.: Membrane systems with carriers. Theoretical Computer Science 270, 779–796 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  13. Nicolis, G., Prigogine, I.: Exploring Complexity, An Introduction. Freeman and Company, San Francisco (1989)

    Google Scholar 

  14. Păun, G.: Computing with membranes. J. Comput. System Sci. 61(1), 108–143 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  15. Păun, G.: Membrane Computing - An Introduction. Springer, Berlin (2002)

    MATH  Google Scholar 

  16. Păun, G., Rozenberg, G.: A guide to membrane computing. Theoretical Computer Science 287, 73–100 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  17. Pǎun, G., Suzuki, Y., Tanaka, H.: P systems with energy accounting. Int. J. Computer Math. 78(3), 343–364 (2001)

    Google Scholar 

  18. Suzuki, Y., Tanaka, H.: Chemical oscillation in symbolic chemical systems and its behavioral pattern. In: Bar-Yam, Y. (ed.) Proc. International Conference on Complex Systems. New England Complex Systems Institute, pp. 0–7 (1997)

    Google Scholar 

  19. Suzuki, Y., Tanaka, H.: Abstract rewriting systems on multisets and their application for modelling complex behaviours. In: Paun, G., Cavaliere, M., Martín-Vide, C. (eds.) Brainstorming Week on Membrane Computing, Tarragona, February 5-11 (2003)

    Google Scholar 

  20. Wuensche, A.: Discrete dynamical networks and their Attractor Basins. online journal Complexity International (1998)

    Google Scholar 

  21. Wuensche, A.: Basins of attraction in network dynamics: A conceptual framework for biomolecular networks. In: Schlosser, G., Wagner, G.P. (eds.) Modularity in Development and Evolution. Chicago University Press (2003)

    Google Scholar 

  22. Wolfram, S.: Theory and Application of Cellular Automata. Addison-Wesley, Reading (1986)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Manca, V., Bianco, L., Fontana, F. (2005). Evolution and Oscillation in P Systems: Applications to Biological Phenomena. In: Mauri, G., Păun, G., Pérez-Jiménez, M.J., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2004. Lecture Notes in Computer Science, vol 3365. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31837-8_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-31837-8_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25080-7

  • Online ISBN: 978-3-540-31837-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics