Input-dependent wave propagations in asymmetric cellular automata: Possible behaviors of feed-forward loop in biological reaction network

Dynamical aspects of the asymmetric cellular automata were in-vestigated to consider the signaling processes in biological systems. As a meta-model of the cascade of feed-forward loop type network motifs in biologicalreaction networks, we consider the one dimensional asymmetric cellular au-tomata wh...

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Bibliographic Details
Main Author: Akinori Awazu
Format: Article
Language:English
Published: AIMS Press 2008-05-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.419
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Summary:Dynamical aspects of the asymmetric cellular automata were in-vestigated to consider the signaling processes in biological systems. As a meta-model of the cascade of feed-forward loop type network motifs in biologicalreaction networks, we consider the one dimensional asymmetric cellular au-tomata where the state of each cell is controlled by a trio of cells, the cell itself,the nearest upstream cell and the next nearest upstream cell. Through thesystematic simulations, some novel input-dependent wave propagations werefound in certain asymmetric CA, which may be useful for the signaling pro-cesses like the distinction, the filtering and the memory of external stimuli.
ISSN:1551-0018