Skip to main content

P Systems with Gemmation of Mobile Membranes

  • Conference paper
  • First Online:
Book cover Theoretical Computer Science (ICTCS 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2202))

Included in the following conference series:

Abstract

P systems are computational models inspired by some biological features of the structure and the functioning of real cells. In this paper we introduce a new kind of communication between membranes, based upon the natural budding of vesicles in a cell. We define the operations of gemmation and fusion of mobile membranes, and we use membrane structures and rules over strings of biological inspiration only. We prove that P systems of this type can generate all recursively enumerable languages and, moreover, the Hamiltonian Path Problem can be solved in a quadratic time. Some open problems are also formulated.

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. L. Cardelli, A. G. Gordon, Mobile ambients, Proceedings of FoSSaCS’98 (M. Nivat, ed.), LNCS 1378, 140–155.

    Google Scholar 

  2. J. Castellanos, A. Rodriguez-Paton, Gh. Pąun, Computing with membranes: P systems with worm-objects, IEEE 7th. Intern. Conf. on String Processing and Information Retrieval, SPIRE 2000, La Coruna, Spain, 64–74.

    Google Scholar 

  3. J. Dassow, Gh. Pąun, Regulated Rewriting in Formal Language Theory, Springer-Verlag, Berlin, 1989.

    Google Scholar 

  4. M. R. Garey, D. S. Johnson, Computers and intractability. A guide to the theory of NP-completeness, 1979, W. H. Freeman and Company.

    Google Scholar 

  5. D. Hauschild, M. Jantzen, Petri nets algorithms in the theory of matrix grammars, Acta Informatica, 31 (1994), 719–728.

    Article  MathSciNet  Google Scholar 

  6. S. N. Krishna, R. Rama, P systems with replicated rewriting, J. Automata, Languages, Combinatorics, to appear.

    Google Scholar 

  7. Gh. Pąun, Computing with membranes, Journal of Computer and System Sciences, 61, 1 (2000), 108–143 (see also Turku Center for Computer Science-TUCS Report No 208, 1998, http://www.tucs.fi).

    Article  MATH  MathSciNet  Google Scholar 

  8. Gh. Pąun, Computing with membranes — A variant: P systems with polarized membranes, Intern. J. of Foundations of Computer Science, 11, 1 (2000), 167–182.

    Article  Google Scholar 

  9. Gh. Pąun, P systems with active membranes: Attacking NP complete problems, J. Automat, Languages and Combinatorics, 6, 1 (2001), 75–90.

    MATH  Google Scholar 

  10. Gh. Pąun, G. Rozenberg, A. Salomaa, Membrane computing with external output, Fundamenta Informaticae, 41, 3 (2000), 259–266, and Turku Center for Computer Science-TUCS Report No 218, 1998 (http://www.tucs.fi).

    MathSciNet  Google Scholar 

  11. I. Petre, L. Petre, Mobile ambients and P systems, Workshop on Formal Languages, FCT99, Iaşi, 1999, J. Universal Computer Sci., 5, 9 (1999), 588–598 (see also Turku Center for Computer Science-TUCS Report No 293, 1999, http://www.tucs.fi).

    MATH  MathSciNet  Google Scholar 

  12. J. E. Rothman, L. Orci, Budding vesicles in cells, March 1996, Scientific American.

    Google Scholar 

  13. G. Rozenberg, A. Salomaa, eds., Handbook of Formal Languages, Springer-Verlag, Heidelberg, 1997.

    MATH  Google Scholar 

  14. D. Voet, J. G. Voet, Biochemistry (second edition), 1995, John Wiley and Sons, Inc.

    Google Scholar 

  15. C. Zandron, C. Ferretti, G. Mauri, Solving NP-complete problems using P systems with active membranes, in vol. Unconventional Models of Computation (I. Antoniou, C. S. Calude, M. J. Dinneen, eds.), Springer-Verlag, London, 2000, 289–301.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Besozzi, D., Zandron, C., Mauri, G., Sabadini, N. (2001). P Systems with Gemmation of Mobile Membranes. In: Theoretical Computer Science. ICTCS 2001. Lecture Notes in Computer Science, vol 2202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45446-2_9

Download citation

  • DOI: https://doi.org/10.1007/3-540-45446-2_9

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42672-1

  • Online ISBN: 978-3-540-45446-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics