Stability Analysis of Boolean Networks With Stochastic Function Perturbations
Using the semi-tensor product method, this paper studies the set stability of Boolean networks (BNs) with stochastic function perturbations. First, the definition of one-column function perturbation for BNs is defined, and two kinds of stochastic function perturbations are formulated. Second, by con...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2019-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8571224/ |
| _version_ | 1819179221024505856 |
|---|---|
| author | Xueying Ding Haitao Li Xiaodong Li Weiwei Sun |
| author_facet | Xueying Ding Haitao Li Xiaodong Li Weiwei Sun |
| author_sort | Xueying Ding |
| collection | DOAJ |
| description | Using the semi-tensor product method, this paper studies the set stability of Boolean networks (BNs) with stochastic function perturbations. First, the definition of one-column function perturbation for BNs is defined, and two kinds of stochastic function perturbations are formulated. Second, by constructing a state transition matrix, a new criterion is proposed for the set stability of BNs with probabilistic function perturbation. Third, the set stability of BNs with Markov jump function perturbation is studied by calculating the state probability distribution. Finally, the obtained results are applied to D. melanogaster segmentation polarity gene network. |
| first_indexed | 2024-12-22T21:55:00Z |
| format | Article |
| id | doaj.art-c187bc2f6b84454a88a21cfc50f3e932 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-22T21:55:00Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-c187bc2f6b84454a88a21cfc50f3e9322022-12-21T18:11:15ZengIEEEIEEE Access2169-35362019-01-0171323132910.1109/ACCESS.2018.28859518571224Stability Analysis of Boolean Networks With Stochastic Function PerturbationsXueying Ding0Haitao Li1https://orcid.org/0000-0001-5322-5375Xiaodong Li2Weiwei Sun3School of Mathematics and Statistics, Shandong Normal University, Jinan, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Jinan, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Jinan, ChinaInstitute of Automation, Qufu Normal University, Qufu, ChinaUsing the semi-tensor product method, this paper studies the set stability of Boolean networks (BNs) with stochastic function perturbations. First, the definition of one-column function perturbation for BNs is defined, and two kinds of stochastic function perturbations are formulated. Second, by constructing a state transition matrix, a new criterion is proposed for the set stability of BNs with probabilistic function perturbation. Third, the set stability of BNs with Markov jump function perturbation is studied by calculating the state probability distribution. Finally, the obtained results are applied to D. melanogaster segmentation polarity gene network.https://ieeexplore.ieee.org/document/8571224/Boolean networkstabilitystochastic function perturbationsemi-tensor product of matrices |
| spellingShingle | Xueying Ding Haitao Li Xiaodong Li Weiwei Sun Stability Analysis of Boolean Networks With Stochastic Function Perturbations IEEE Access Boolean network stability stochastic function perturbation semi-tensor product of matrices |
| title | Stability Analysis of Boolean Networks With Stochastic Function Perturbations |
| title_full | Stability Analysis of Boolean Networks With Stochastic Function Perturbations |
| title_fullStr | Stability Analysis of Boolean Networks With Stochastic Function Perturbations |
| title_full_unstemmed | Stability Analysis of Boolean Networks With Stochastic Function Perturbations |
| title_short | Stability Analysis of Boolean Networks With Stochastic Function Perturbations |
| title_sort | stability analysis of boolean networks with stochastic function perturbations |
| topic | Boolean network stability stochastic function perturbation semi-tensor product of matrices |
| url | https://ieeexplore.ieee.org/document/8571224/ |
| work_keys_str_mv | AT xueyingding stabilityanalysisofbooleannetworkswithstochasticfunctionperturbations AT haitaoli stabilityanalysisofbooleannetworkswithstochasticfunctionperturbations AT xiaodongli stabilityanalysisofbooleannetworkswithstochasticfunctionperturbations AT weiweisun stabilityanalysisofbooleannetworkswithstochasticfunctionperturbations |