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- Publisher Website: 10.1109/ISB.2014.6990737
- Scopus: eid_2-s2.0-84920118821
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Conference Paper: A semi-tensor product approach for probabilistic boolean networks
Title | A semi-tensor product approach for probabilistic boolean networks |
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Authors | |
Keywords | Boolean Networks (BNs) Semi-tensor Product Approach Inverse Problem Probabilistic Boolean Networks (PBNs) Similar Matrices Steady-state Distribution |
Issue Date | 2014 |
Publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1800515 |
Citation | The 8th International Conference on Systems Biology (ISB 2014), Qingdao, China, 24-27 October 2014. In Conference Proceedings, 2014, p. 85-90 How to Cite? |
Abstract | Modeling genetic regulatory networks is an important issue in systems biology. Various models and mathematical formalisms have been proposed in the literature to solve the capture problem. The main purpose in this paper is to show that the transition matrix generated under semi-tensor product approach (Here we call it the probability structure matrix for simplicity) and the traditional approach (Transition probability matrix) are similar to each other. And we shall discuss three important problems in Probabilistic Boolean Networks (PBNs): the dynamic of a PBN, the steady-state probability distribution and the inverse problem. Numerical examples are given to show the validity of our theory. We shall give a brief introduction to semi-tensor and its application. After that we shall focus on the main results: to show the similarity of these two matrices. Since the semi-tensor approach gives a new way for interpreting a BN and therefore a PBN, we expect that advanced algorithms can be developed if one can describe the PBN through semi-tensor product approach. |
Persistent Identifier | http://hdl.handle.net/10722/207209 |
ISBN |
DC Field | Value | Language |
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dc.contributor.author | Cheng, X | - |
dc.contributor.author | Qiu, Y | - |
dc.contributor.author | Hou, W | - |
dc.contributor.author | Ching, WK | - |
dc.date.accessioned | 2014-12-19T03:22:17Z | - |
dc.date.available | 2014-12-19T03:22:17Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | The 8th International Conference on Systems Biology (ISB 2014), Qingdao, China, 24-27 October 2014. In Conference Proceedings, 2014, p. 85-90 | - |
dc.identifier.isbn | 978-1-4799-7294-4 | - |
dc.identifier.uri | http://hdl.handle.net/10722/207209 | - |
dc.description.abstract | Modeling genetic regulatory networks is an important issue in systems biology. Various models and mathematical formalisms have been proposed in the literature to solve the capture problem. The main purpose in this paper is to show that the transition matrix generated under semi-tensor product approach (Here we call it the probability structure matrix for simplicity) and the traditional approach (Transition probability matrix) are similar to each other. And we shall discuss three important problems in Probabilistic Boolean Networks (PBNs): the dynamic of a PBN, the steady-state probability distribution and the inverse problem. Numerical examples are given to show the validity of our theory. We shall give a brief introduction to semi-tensor and its application. After that we shall focus on the main results: to show the similarity of these two matrices. Since the semi-tensor approach gives a new way for interpreting a BN and therefore a PBN, we expect that advanced algorithms can be developed if one can describe the PBN through semi-tensor product approach. | - |
dc.language | eng | - |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1800515 | - |
dc.relation.ispartof | IEEE International Conference on Systems Biology | - |
dc.subject | Boolean Networks (BNs) | - |
dc.subject | Semi-tensor Product Approach | - |
dc.subject | Inverse Problem | - |
dc.subject | Probabilistic Boolean Networks (PBNs) | - |
dc.subject | Similar Matrices | - |
dc.subject | Steady-state Distribution | - |
dc.title | A semi-tensor product approach for probabilistic boolean networks | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Ching, WK: wching@hku.hk | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/ISB.2014.6990737 | - |
dc.identifier.scopus | eid_2-s2.0-84920118821 | - |
dc.identifier.hkuros | 241887 | - |
dc.identifier.spage | 85 | - |
dc.identifier.epage | 90 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 141219 | - |