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 biological
reaction 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 the
systematic simulations, some novel input-dependent wave propagations were
found in certain asymmetric CA, which may be useful for the signaling pro-
cesses like the distinction, the filtering and the memory of external stimuli.
Citation: Akinori Awazu. Input-dependent wave propagations in asymmetric cellular automata: Possible behaviors of feed-forward loop in biological reaction network[J]. Mathematical Biosciences and Engineering, 2008, 5(3): 419-427. doi: 10.3934/mbe.2008.5.419
Abstract
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 biological
reaction 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 the
systematic simulations, some novel input-dependent wave propagations were
found in certain asymmetric CA, which may be useful for the signaling pro-
cesses like the distinction, the filtering and the memory of external stimuli.
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