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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| Format: | Article |
| Language: | English |
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AIMS Press
2008-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.419 |
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| _version_ | 1832590209376583680 |
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| author | Akinori Awazu |
| author_facet | Akinori Awazu |
| author_sort | Akinori Awazu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b6675a007139445c99cca1dd4b239fce |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-b6675a007139445c99cca1dd4b239fce2025-01-24T01:58:23ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-05-015341942710.3934/mbe.2008.5.419Input-dependent wave propagations in asymmetric cellular automata: Possible behaviors of feed-forward loop in biological reaction networkAkinori Awazu0Department of Mathematical and Life Sciences, Hiroshima University, Kagami-yama 1-3-1, Higashi-Hiroshima 739-8526Dynamical 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.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.419dynamical systems inbiologycellular automatafilteriongetc.)applications (signal detection |
| spellingShingle | Akinori Awazu Input-dependent wave propagations in asymmetric cellular automata: Possible behaviors of feed-forward loop in biological reaction network Mathematical Biosciences and Engineering dynamical systems inbiology cellular automata filteriong etc.) applications (signal detection |
| title | Input-dependent wave propagations in asymmetric cellular automata: Possible behaviors of feed-forward loop in biological reaction network |
| title_full | Input-dependent wave propagations in asymmetric cellular automata: Possible behaviors of feed-forward loop in biological reaction network |
| title_fullStr | Input-dependent wave propagations in asymmetric cellular automata: Possible behaviors of feed-forward loop in biological reaction network |
| title_full_unstemmed | Input-dependent wave propagations in asymmetric cellular automata: Possible behaviors of feed-forward loop in biological reaction network |
| title_short | Input-dependent wave propagations in asymmetric cellular automata: Possible behaviors of feed-forward loop in biological reaction network |
| title_sort | input dependent wave propagations in asymmetric cellular automata possible behaviors of feed forward loop in biological reaction network |
| topic | dynamical systems inbiology cellular automata filteriong etc.) applications (signal detection |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.419 |
| work_keys_str_mv | AT akinoriawazu inputdependentwavepropagationsinasymmetriccellularautomatapossiblebehaviorsoffeedforwardloopinbiologicalreactionnetwork |