Kirkilionis, Markus, Domijan, Mirela, Eigel, M., George, E., Li, Mike and Sbano, L. (2009) A definition of cellular interface problems. In: 9th International Workshop on Membrane Computing, Edinburgh, Scotland, July 28-31, 2008. Published in: Lecture Notes in Computer Science, Vol.5391 pp. 36-62. ISBN 978-3-540-95884-0. doi:10.1007/978-3-540-95885-7_4 ISSN 0302-9743.

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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:	Conference Item (Paper)
Subjects:	Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Series Name:	LECTURE NOTES IN COMPUTER SCIENCE
Journal or Publication Title:	Lecture Notes in Computer Science
Publisher:	Springer
ISBN:	978-3-540-95884-0
ISSN:	0302-9743
Editor:	Corne, DW and Frisco, P and Paun, G and Rozenberg, G and Salomaa, A
Official Date:	2009
Dates:	Date Event 2009 Published
Volume:	Vol.5391
Number of Pages:	27
Page Range:	pp. 36-62
DOI:	10.1007/978-3-540-95885-7_4
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Conference Paper Type:	Paper
Title of Event:	9th International Workshop on Membrane Computing
Type of Event:	Conference
Location of Event:	Edinburgh, Scotland
Date(s) of Event:	July 28-31, 2008

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