A Note on the Observability of Temporal Boolean Control Network
Temporal Boolean network is a generalization of the Boolean network model that takes into account the time series nature of the data and tries to incorporate into the model the possible existence of delayed regulatory interactions among genes. This paper investigates the observability problem of tem...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/631639 |
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| _version_ | 1832548207618424832 |
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| author | Wenping Shi Bo Wu Jing Han |
| author_facet | Wenping Shi Bo Wu Jing Han |
| author_sort | Wenping Shi |
| collection | DOAJ |
| description | Temporal Boolean network is a generalization of the Boolean network model that takes
into account the time series nature of the data and tries to incorporate into the model the
possible existence of delayed regulatory interactions among genes. This paper investigates the
observability problem of temporal Boolean control networks. Using the semi tensor product of
matrices, the temporal Boolean networks can be converted into discrete time linear dynamic
systems with time delays. Then, necessary and sufficient conditions on the observability via
two kinds of inputs are obtained. An example is given to illustrate the effectiveness of the
obtained results. |
| format | Article |
| id | doaj-art-9ffad2d6538e43d88b80f7a1c18fbf77 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9ffad2d6538e43d88b80f7a1c18fbf772025-02-03T06:41:59ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/631639631639A Note on the Observability of Temporal Boolean Control NetworkWenping Shi0Bo Wu1Jing Han2College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, ChinaCollege of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Mathematics, Tongji University, Shanghai 200092, ChinaTemporal Boolean network is a generalization of the Boolean network model that takes into account the time series nature of the data and tries to incorporate into the model the possible existence of delayed regulatory interactions among genes. This paper investigates the observability problem of temporal Boolean control networks. Using the semi tensor product of matrices, the temporal Boolean networks can be converted into discrete time linear dynamic systems with time delays. Then, necessary and sufficient conditions on the observability via two kinds of inputs are obtained. An example is given to illustrate the effectiveness of the obtained results.http://dx.doi.org/10.1155/2013/631639 |
| spellingShingle | Wenping Shi Bo Wu Jing Han A Note on the Observability of Temporal Boolean Control Network Abstract and Applied Analysis |
| title | A Note on the Observability of Temporal Boolean Control Network |
| title_full | A Note on the Observability of Temporal Boolean Control Network |
| title_fullStr | A Note on the Observability of Temporal Boolean Control Network |
| title_full_unstemmed | A Note on the Observability of Temporal Boolean Control Network |
| title_short | A Note on the Observability of Temporal Boolean Control Network |
| title_sort | note on the observability of temporal boolean control network |
| url | http://dx.doi.org/10.1155/2013/631639 |
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