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International Workshop on Membrane Computing

WMC 2008: Membrane Computing pp 36–62Cite as

A Definition of Cellular Interface Problems

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5391))

Abstract

We define a class of cellular interface problems (short: CIP) that mathematically model the exchange of molecules in a compartmentalised living cell. Defining and eventually solving such compartmental problems is important for several reasons. They are needed to understand the organisation of life itself, for example by exploring different ’origin of life’ hypothesis based on simple metabolic pathways and their necessary division into one or more compartments. In more complex forms investigating cellular interface problems is a way to understand cellular homeostasis of different types, for example ionic fluxes and their composition between all different cellular compartments. Understanding homeostasis and its collapse is important for many physiological medical applications. This class of models is also necessary to formulate efficiently and in detail complex signalling processes taking place in different cell types, with eukaryotic cells the most complex ones in terms of sophisticated compartmentalisation. We will compare such mathematical models of signalling pathways with rule-based models as formulated in membrane computing in a final discussion. The latter is a theory that investigates computer programmes with the help of biological concepts, like a subroutine exchanging data with the environment, in this case a programme with its global variables.

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Author information

Authors and Affiliations

  1. Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK

    Markus Kirkilionis, Mirela Domijan, Martin Eigel, Erwin George, Mike Li & Luca Sbano

Authors
  1. Markus Kirkilionis
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  2. Mirela Domijan
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  3. Martin Eigel
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  4. Erwin George
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  5. Mike Li
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  6. Luca Sbano
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Editor information

Editors and Affiliations

  1. School of Mathematical and Computer Science, Heriot-Watt University, EH14 8AS, Edinburgh, UK

    David Wolfe Corne

  2. School of Mathematical and Computer Science, Heriot-Watt University, EH14 4AS, Edinburgh, UK

    Pierluigi Frisco

  3. Institute of Mathematics of the Romanian Academy, PO Box 1-764, 014700, Bucharest, Romania

    Gheorghe Păun

  4. Leiden Center of Advanced Computer Science (LIACS), Leiden University, Niels Bohrweg 1, 2333 CA, Leiden, The Netherlands

    Grzegorz Rozenberg

  5. Turku Centre for Computer Science (TUCS), Leminkäisenkatu 14, 20520, Turku, Finland

    Arto Salomaa

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© 2009 Springer-Verlag Berlin Heidelberg

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Kirkilionis, M., Domijan, M., Eigel, M., George, E., Li, M., Sbano, L. (2009). A Definition of Cellular Interface Problems. In: Corne, D.W., Frisco, P., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2008. Lecture Notes in Computer Science, vol 5391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-95885-7_4

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  • DOI: https://doi.org/10.1007/978-3-540-95885-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-95884-0

  • Online ISBN: 978-3-540-95885-7

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