P Systems with Proteins Working in the Minimally Parallel Mode

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Knowledge Discovery and Data Mining

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 135))

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Abstract

Membrane systems are distributed and parallel computing devices inspired from the structure and the functioning of living cells, called P systems. Most variant of P systems have been proved to be universal in the model of maximally parallel mode. But this hypothesis does not have biologically realistic support. In order to construct a more “realistic” system, we introduce the minimal parallelism into the protein P systems. Minimal parallelism is a way the rules of a P system used: from each set of applicable rules associated to the same membrane, at least one must be applied. We investigate the computing power of P systems with proteins on membranes working in the minimal parallelism mode. Such systems are shown to be computationally complete even with only three membranes and one protein on each membrane.

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References

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

    Article  MathSciNet  Google Scholar 

  2. Pan, L., Zeng, X., Zhang, X.: Time-free spiking neural P systems. Neural Computation 23, 1320–1342 (2011)

    Article  MathSciNet  Google Scholar 

  3. Zhang, X., Wang, S., Niu, Y., Pan, L.: Tissue P systems with cell separation: attacking the partition problem. Science China Information Sciences 54, 293–304 (2011)

    Article  Google Scholar 

  4. Păun, A., Popa, B.: P systems with proteins on membranes. Fundamenta Informaticae 72, 467–483 (2006)

    MathSciNet  MATH  Google Scholar 

  5. Dassow, J., Păun, G.: On the power of membrane computing. Journal of Universal Computer Science 5, 33–49 (1999)

    MathSciNet  Google Scholar 

  6. Cardelli, L.: Brane Calculi. In: Danos, V., Schachter, V. (eds.) CMSB 2004. LNCS (LNBI), vol. 3082, pp. 257–278. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  7. Krishna, S.N.: Universality Results for P Systems based on Brane Calculi Operations. Theoretical Computer Science 371, 88–105 (2007)

    Article  MathSciNet  Google Scholar 

  8. Păun, A., Popa, B.: P Systems with Proteins on Membranes and Membrane Division. In: Ibarra, O.H., Dang, Z. (eds.) DLT 2006. LNCS, vol. 4036, pp. 292–303. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  9. Sosík, P., Păun, A., Rodríguez-Patón, A., Pérez, D.: On the Power of Computing with Proteins on Membranes. In: Păun, G., Pérez-Jiménez, M.J., Riscos-Núñez, A., Rozenberg, G., Salomaa, A. (eds.) WMC 2009. LNCS, vol. 5957, pp. 448–460. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  10. Ciobanu, G., Pan, L., Păun, G., et al.: P Systems with Minimal Parallelism. Theoretical Computer Science 4618, 62–76 (2007)

    MathSciNet  MATH  Google Scholar 

  11. Freund, R., Verlan, S.: A Formal Framework for Static (Tissue) P Systems. In: Eleftherakis, G., Kefalas, P., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2007. LNCS, vol. 4860, pp. 271–284. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

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

    MATH  Google Scholar 

  13. Minsky, M.: Computation–Finite and Infinite Machines. Prentice-Hall, Englewood Cliffs (1967)

    MATH  Google Scholar 

  14. Niu, Y., Pan, L., Pérez-Jiménez, M.J., Font, M.R.: A tissue P systems based uniform solution to tripartite matching problem. Fundamenta Informaticae 109, 179–188 (2011)

    Article  MathSciNet  Google Scholar 

  15. Ishdorj, T.-O., Leporati, A., Pan, L., Zeng, X., Zhang, X.: Deterministic solutions to QSAT and Q3SAT by spiking neural P systems with pre-computed resources. Theoretical Computer Science 411, 2345–2358 (2010)

    Article  MathSciNet  Google Scholar 

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Correspondence to Chun Lu .

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Lu, C., Chen, Xj., Shi, Xl. (2012). P Systems with Proteins Working in the Minimally Parallel Mode. In: Tan, H. (eds) Knowledge Discovery and Data Mining. Advances in Intelligent and Soft Computing, vol 135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27708-5_69

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  • DOI: https://doi.org/10.1007/978-3-642-27708-5_69

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27707-8

  • Online ISBN: 978-3-642-27708-5

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