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Computing with Genetic Gates

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4497))

Abstract

We introduce Genetic Systems, a formalism inspired by genetic regulatory networks and suitable for modeling the interactions between the genes and the proteins, acting as regulatory products.

The generation of new objects, representing proteins, is driven by genetic gates: a new object is produced when all the activator objects are available in the system, and no inhibitor object is available. Activators are not consumed by the application of such an evolution rule. Objects disappear because of degradation: each object is equipped with a lifetime, and the object decays when such a lifetime expires.

We investigate the computational expressiveness of Genetic Systems: we show that they are Turing equivalent by providing an encoding of Random Access Machines in Genetic Systems.

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References

  1. Blossey, R., Cardelli, L., Phillips, A.: A Compositional Approach to the Stochastic Dynamics of Gene Networks. In: Priami, C., Cardelli, L., Emmott, S. (eds.) Transactions on Computational Systems Biology IV. LNCS (LNBI), vol. 3939, Springer, Heidelberg (2006)

    Google Scholar 

  2. Busi, N., Zandron, C.: Computing with Genetic Gates, Proteins and Membranes. In: Hoogeboom, H.J., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2006. LNCS, vol. 4361, Springer, Heidelberg (2006)

    Google Scholar 

  3. De Jong, H.: Modeling and Simulation of Genetic Regulatory Systems: A Literature Review. Journal of Computatonal Biology 9, 67–103 (2002)

    Article  Google Scholar 

  4. Finkel, A., Schnoebelen, Ph.: Well-Structured Transition Systems Everywhere! In: Theoretical Computer Science, vol. 256, pp. 63–92. Elsevier, North-Holland, Amsterdam (2001)

    Google Scholar 

  5. Minsky, M.L.: Computation: finite and infinite machines. Prentice-Hall, Englewood Cliffs (1967)

    MATH  Google Scholar 

  6. Păun, G.: Membrane Computing. An Introduction. Springer, Heidelberg (2002)

    Book  MATH  Google Scholar 

  7. Păun, G., Rozenberg, G., Salomaa, A.: DNA Computing. New computing paradigm. Springer, Heidelberg (1998)

    MATH  Google Scholar 

  8. Reisig, W.: Petri nets: An Introduction. In: EATCS Monographs in Computer Science. Springer, Heidelberg (1985)

    Google Scholar 

  9. Shepherdson, J.C., Sturgis, J.E.: Computability of recursive functions. Journal of the ACM 10, 217–255 (1963)

    Article  MathSciNet  MATH  Google Scholar 

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© 2007 Springer-Verlag Berlin Heidelberg

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Busi, N., Zandron, C. (2007). Computing with Genetic Gates. In: Cooper, S.B., Löwe, B., Sorbi, A. (eds) Computation and Logic in the Real World. CiE 2007. Lecture Notes in Computer Science, vol 4497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73001-9_11

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  • DOI: https://doi.org/10.1007/978-3-540-73001-9_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73000-2

  • Online ISBN: 978-3-540-73001-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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