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Genetic Systems without Inhibition Rules

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Infinity in Logic and Computation (ILC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5489))

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Abstract

Genetic Systems are a formalism inspired by genetic regulatory networks, suitable for modeling the interactions between genes and proteins, acting as regulatory products. The evolution is driven by genetic gates: a new object (representing a protein) is produced when all activator objects are available in the system, and no inhibitor object is present. Activators are not consumed by the application of such a rule. Objects disappear because of degradation: each object is equipped with a lifetime, and the object decays when such a lifetime expires.

It is known that such systems are Turing powerful, either when we consider interleaving semantics (a single action is executed in each computational step) as well as if we consider maximal parallel semantics (all the rules that can be applied at a computational step must be applied). In this paper we investigate the power of inhibiting rules.

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Author information

Authors and Affiliations

  1. Dipartimento di Scienze dell’Informazione, Università di Bologna, Mura A. Zamboni 7, I-40127, Bologna, Italy

    Nadia Busi

  2. Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano-Bicocca, viale Sarca 336, I-20126, Milano, Italy

    Claudio Zandron

Authors
  1. Nadia Busi
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  2. Claudio Zandron
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Cape Town, 7701, Rondebosch, South Africa

    Margaret Archibald  & Vasco Brattka  & 

  2. School of Mathematics, University of the Witwatersrand, Johannesburg, South Africa

    Valentin Goranko

  3. Institute for Logic, Language and Computation, Universiteit van Amsterdam, 1090, Amsterdam, GE, The Netherlands

    Benedikt Löwe

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Busi, N., Zandron, C. (2009). Genetic Systems without Inhibition Rules. In: Archibald, M., Brattka, V., Goranko, V., Löwe, B. (eds) Infinity in Logic and Computation. ILC 2007. Lecture Notes in Computer Science(), vol 5489. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03092-5_3

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  • DOI: https://doi.org/10.1007/978-3-642-03092-5_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03091-8

  • Online ISBN: 978-3-642-03092-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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