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(Tissue) P systems with cell polarity

Published online by Cambridge University Press:  04 December 2009

DANIELA BESOZZI ,
NADIA BUSI ,
PAOLO CAZZANIGA ,
CLAUDIO FERRETTI ,
ALBERTO LEPORATI ,
GIANCARLO MAURI ,
DARIO PESCINI  and
CLAUDIO ZANDRON
DANIELA BESOZZI
Affiliation:
Università degli Studi di Milano, Dipartimento di Informatica e Comunicazione, Via Comelico 39, 20135 Milano, Italy Email: besozzi@dico.unimi.it
PAOLO CAZZANIGA
Affiliation:
Università degli Studi di Milano-Bicocca, Dipartimento di Informatica, Sistemistica e Comunicazione, Viale Sarca 336, 20126 Milano, Italy Email: cazzaniga@disco.unimib.it; ferretti@disco.unimib.it; leporati@disco.unimib.it; mauri@disco.unimib.it; pescini@disco.unimib.it; zandron@disco.unimib.it
CLAUDIO FERRETTI
Affiliation:
Università degli Studi di Milano-Bicocca, Dipartimento di Informatica, Sistemistica e Comunicazione, Viale Sarca 336, 20126 Milano, Italy Email: cazzaniga@disco.unimib.it; ferretti@disco.unimib.it; leporati@disco.unimib.it; mauri@disco.unimib.it; pescini@disco.unimib.it; zandron@disco.unimib.it
ALBERTO LEPORATI
Affiliation:
Università degli Studi di Milano-Bicocca, Dipartimento di Informatica, Sistemistica e Comunicazione, Viale Sarca 336, 20126 Milano, Italy Email: cazzaniga@disco.unimib.it; ferretti@disco.unimib.it; leporati@disco.unimib.it; mauri@disco.unimib.it; pescini@disco.unimib.it; zandron@disco.unimib.it
GIANCARLO MAURI
Affiliation:
Università degli Studi di Milano-Bicocca, Dipartimento di Informatica, Sistemistica e Comunicazione, Viale Sarca 336, 20126 Milano, Italy Email: cazzaniga@disco.unimib.it; ferretti@disco.unimib.it; leporati@disco.unimib.it; mauri@disco.unimib.it; pescini@disco.unimib.it; zandron@disco.unimib.it
DARIO PESCINI
Affiliation:
Università degli Studi di Milano-Bicocca, Dipartimento di Informatica, Sistemistica e Comunicazione, Viale Sarca 336, 20126 Milano, Italy Email: cazzaniga@disco.unimib.it; ferretti@disco.unimib.it; leporati@disco.unimib.it; mauri@disco.unimib.it; pescini@disco.unimib.it; zandron@disco.unimib.it
CLAUDIO ZANDRON
Affiliation:
Università degli Studi di Milano-Bicocca, Dipartimento di Informatica, Sistemistica e Comunicazione, Viale Sarca 336, 20126 Milano, Italy Email: cazzaniga@disco.unimib.it; ferretti@disco.unimib.it; leporati@disco.unimib.it; mauri@disco.unimib.it; pescini@disco.unimib.it; zandron@disco.unimib.it
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Abstract

We consider the structure of the intestinal epithelial tissue and of cell–cell junctions as the biological model inspiring a new class of P systems. First we define the concept of cell polarity, a formal property derived from epithelial cells, which present morphologically and functionally distinct regions of the plasma membrane. Then we show two preliminary results for this new model of computation: on the theoretical side, we show that P systems with cell polarity are computationally (Turing) complete; on the modelling side, we show that the transepithelial movement of glucose from the intestinal lumen into the blood can be described by such a formal system. Finally, we define tissue P systems with cell polarity, where each cell has fixed connections to the neighbouring cells and to the environment, according to both the cell polarity and specific cell–cell junctions.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 19 , Special Issue 6: Dedicated to Nadia Busi , December 2009 , pp. 1141 - 1160
Copyright
Copyright © Cambridge University Press 2009

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