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Sequentiality Induced by Spike Number in SNP Systems

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DNA Computing (DNA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5347))

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Abstract

The spiking neural P systems are a class of computing devices recently introduced as a bridge between spiking neural nets and membrane computing. In this paper we consider sequential SNP systems where the sequentiality of the system is induced by a simple choice: the neuron with the maximum number of spikes out of the neurons that can spike at one step will fire. This corresponds to a global view of the whole network that makes the system sequential. We study the properties of this restriction.

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References

  1. Gerstner, W., Kistler, W.: Spiking Neuron Models. Single Neurons, Populations, Plasticity. Cambridge Univ. Press, Cambridge (2002)

    Book  MATH  Google Scholar 

  2. Ibarra, O.H., Păun, A., Păun, G., Rodriguez-Paton, A., Sosik, P., Woodworth, S.: Normal forms for spiking neural P systems. Theor. Comput. Sci. 372(2-3), 196–217 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  3. Ibarra, O.H., Woodworth, S., Yu, F., Păun, A.: On spiking neural P systems and partially blind counter machines. In: Calude, C.S., Dinneen, M.J., Păun, G., Rozenberg, G., Stepney, S. (eds.) UC 2006. LNCS, vol. 4135, pp. 113–129. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  4. Ionescu, M., Păun, G., Yokomori, T.: Spiking neural P systems. Fundamenta Informaticae 71(2-3), 279–308 (2006)

    MathSciNet  MATH  Google Scholar 

  5. Maass, W.: Computing with spikes. Special Issue on Foundations of Information Processing of TELEMATIK 8(1), 32–36 (2002)

    Google Scholar 

  6. Maass, W., Bishop, C. (eds.): Pulsed Neural Networks. MIT Press, Cambridge (1999)

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  8. Păun, A., Popa, B.: P Systems with Proteins on Membranes. Fundamenta Informaticae 72(4), 467–483 (2006)

    MathSciNet  MATH  Google Scholar 

  9. 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 

  10. Păun, G. (ed.): Membrane Computing – An Introduction. Springer, Berlin (2002)

    MATH  Google Scholar 

  11. Păun, G., Pérez-Jiménez, M.J., Rozenberg, G.: Spike trains in spiking neural P systems. International Journal of Foundations of Computer Science 17(4), 975–1002 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  12. Păun, G., Pérez-Jiménez, M.J., Rozenberg, G.: Infinite spike trains in spiking neural P systems (submitted, 2006)

    Google Scholar 

  13. Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages, vol. 3. Springer, Berlin (1997)

    MATH  Google Scholar 

  14. The P Systems Web Page, http://psystems.disco.unimib.it

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Ibarra, O.H., Păun, A., Rodríguez-Patón, A. (2009). Sequentiality Induced by Spike Number in SNP Systems. In: Goel, A., Simmel, F.C., Sosík, P. (eds) DNA Computing. DNA 2008. Lecture Notes in Computer Science, vol 5347. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03076-5_15

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  • DOI: https://doi.org/10.1007/978-3-642-03076-5_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03075-8

  • Online ISBN: 978-3-642-03076-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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