Optimal Intervention in Semi-Markov-Based Asynchronous Probabilistic Boolean Networks
Synchronous probabilistic Boolean networks (PBNs) and generalized asynchronous PBNs have received significant attention over the past decade as a tool for modeling complex genetic regulatory networks. From a biological perspective, the occurrence of interactions among genes, such as transcription, t...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/8983670 |
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| _version_ | 1832557057166802944 |
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| author | Qiuli Liu Qingguo Zeng Jinghao Huang Deliang Li |
| author_facet | Qiuli Liu Qingguo Zeng Jinghao Huang Deliang Li |
| author_sort | Qiuli Liu |
| collection | DOAJ |
| description | Synchronous probabilistic Boolean networks (PBNs) and generalized asynchronous PBNs have received significant attention over the past decade as a tool for modeling complex genetic regulatory networks. From a biological perspective, the occurrence of interactions among genes, such as transcription, translation, and degradation, may require a few milliseconds or even up to a few seconds. Such a time delay can be best characterized by generalized asynchronous PBNs. This paper attempts to study an optimal control problem in a generalized asynchronous PBN by employing the theory of average value-at-risk (AVaR) for finite horizon semi-Markov decision processes. Specifically, we first formulate a control model for a generalized asynchronous PBN as an AVaR model for finite horizon semi-Markov decision processes and then solve an optimal control problem for minimizing average value-at-risk criterion over a finite horizon. In order to illustrate the validity of our approach, a numerical example is also displayed. |
| format | Article |
| id | doaj-art-cf45eb067ae74c4c8aa4d41b5666fc26 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-cf45eb067ae74c4c8aa4d41b5666fc262025-02-03T05:43:50ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/89836708983670Optimal Intervention in Semi-Markov-Based Asynchronous Probabilistic Boolean NetworksQiuli Liu0Qingguo Zeng1Jinghao Huang2Deliang Li3School of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaSchool of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaSchool of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaSchool of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaSynchronous probabilistic Boolean networks (PBNs) and generalized asynchronous PBNs have received significant attention over the past decade as a tool for modeling complex genetic regulatory networks. From a biological perspective, the occurrence of interactions among genes, such as transcription, translation, and degradation, may require a few milliseconds or even up to a few seconds. Such a time delay can be best characterized by generalized asynchronous PBNs. This paper attempts to study an optimal control problem in a generalized asynchronous PBN by employing the theory of average value-at-risk (AVaR) for finite horizon semi-Markov decision processes. Specifically, we first formulate a control model for a generalized asynchronous PBN as an AVaR model for finite horizon semi-Markov decision processes and then solve an optimal control problem for minimizing average value-at-risk criterion over a finite horizon. In order to illustrate the validity of our approach, a numerical example is also displayed.http://dx.doi.org/10.1155/2018/8983670 |
| spellingShingle | Qiuli Liu Qingguo Zeng Jinghao Huang Deliang Li Optimal Intervention in Semi-Markov-Based Asynchronous Probabilistic Boolean Networks Complexity |
| title | Optimal Intervention in Semi-Markov-Based Asynchronous Probabilistic Boolean Networks |
| title_full | Optimal Intervention in Semi-Markov-Based Asynchronous Probabilistic Boolean Networks |
| title_fullStr | Optimal Intervention in Semi-Markov-Based Asynchronous Probabilistic Boolean Networks |
| title_full_unstemmed | Optimal Intervention in Semi-Markov-Based Asynchronous Probabilistic Boolean Networks |
| title_short | Optimal Intervention in Semi-Markov-Based Asynchronous Probabilistic Boolean Networks |
| title_sort | optimal intervention in semi markov based asynchronous probabilistic boolean networks |
| url | http://dx.doi.org/10.1155/2018/8983670 |
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