Kirkilionis, Markus, Domijan, Mirela, Eigel, Martin, George, Erwin ORCID: 0000-0001-9011-3970, Li, Mike and Sbano, Luca (2009) A definition of cellular interface problems. In: Corne, David Wolfe, Frisco, Pierluigi, Păun, Gheorghe, Rozenberg, Grzegorz and Salomaa, Arto, (eds.) Membrane Computing: 9th International Workshop, WMC 2008, Edinburgh, UK, July 28-31, 2008, Revised Selected and Invited Papers. Lecture Notes in Computer Science (5391). Springer, Berlin Heidelberg, pp. 36-62. ISBN 9783540958840 (doi:https://doi.org/10.1007/978-3-540-95885-7_4)

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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.

Item Type:	Book Section
Additional Information:	[1] This paper was first presented at Membrane Computing, the 9th International Workshop, WMC 2008, held from 28-31 July 2008 in Edinburgh, UK. [2] ISBN: 9783540958840 (print); 9783540958857 (online) [3] ISSN: 0302-9743
Uncontrolled Keywords:	cellular interface problems, computation by abstract devices, mathematical logic and formal languages, simulation, modeling, computational biology/bioinformatics
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Pre-2014 Departments:	School of Computing & Mathematical Sciences
Related URLs:	Publisher Publisher
Last Modified:	14 Oct 2016 09:26
URI:	http://gala.gre.ac.uk/id/eprint/10781

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