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Input-dependent wave propagations in asymmetric cellular automata: possible behaviors of feed-forward loop in
1Department of Mathematical and Life Sciences, Hiroshima University, Higashi-Hiroshima, Japan. awa@hiroshima-u.ac.jp
Abstract:
Dynamical aspects of the asymmetric cellular automata were investigated 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 automata 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 processes like the distinction, the filtering and the memory of external stimuli.
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