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Barycentric Algebras and Gene Expression

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Fuzzy Logic and Applications (WILF 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5571))

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Abstract

Barycentric algebras have seen widespread application in the modeling of convex sets, semilattices, and quantum mechanics. Recently, they were developed further to encompass Boolean logic and if-then-else algebras. This paper discusses an application of barycentric algebras to systems biology. Here, they provide a calculus for the conversion from simplified Boolean models of gene transcription to fuzzy models that give a more realistic tracking of the biochemistry. Indeed, it appears that logic gates experimentally observed in cells actually follow the barycentric algebra format.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Information Sciences, Warsaw University of Technology, 00-661, Warsaw, Poland

    Anna B. Romanowska

  2. Department of Mathematics, Iowa State University, Ames, Iowa, 50011, USA

    Jonathan D. H. Smith

Authors
  1. Anna B. Romanowska
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  2. Jonathan D. H. Smith
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Università di Palermo, via Archirafi, 34, 90123, Palermo, Italy

    Vito Di Gesù

  2. Center for Soft Computing Research, Machine Intelligence Unit, Indian Statistical Institute,, 203 Barrackpore Trunk Road, 700 108, Kolkata, India

    Sankar Kumar Pal

  3. Dipartimento di Scienze Applicate, Università di Napoli "Parthenope", Via Alcide De Gasperi, 5,, 80133, Napoli, Italy

    Alfredo Petrosino

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© 2009 Springer-Verlag Berlin Heidelberg

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Romanowska, A.B., Smith, J.D.H. (2009). Barycentric Algebras and Gene Expression. In: Di Gesù, V., Pal, S.K., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2009. Lecture Notes in Computer Science(), vol 5571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02282-1_3

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  • DOI: https://doi.org/10.1007/978-3-642-02282-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02281-4

  • Online ISBN: 978-3-642-02282-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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