Steady-state analysis of probabilistic Boolean networks
This paper investigates steady-state distributions of probabilistic Boolean networks via cascading aggregation. Under this approach, the problem is converted to computing least square solutions to several corresponding equations. Two necessary and sufficient conditions for the existence of the stead...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/151172 |
| _version_ | 1826110639675801600 |
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| author | Pan, Jinfeng Feng, Jun-e Meng, Min |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Pan, Jinfeng Feng, Jun-e Meng, Min |
| author_sort | Pan, Jinfeng |
| collection | NTU |
| description | This paper investigates steady-state distributions of probabilistic Boolean networks via cascading aggregation. Under this approach, the problem is converted to computing least square solutions to several corresponding equations. Two necessary and sufficient conditions for the existence of the steady-state distributions for probabilistic Boolean networks are given firstly. Secondly, an algorithm for finding the steady-state distributions of probabilistic probabilistic Boolean networks is given. Finally, a numerical example is given to show the effectiveness of the proposed method. |
| first_indexed | 2024-10-01T02:37:47Z |
| format | Journal Article |
| id | ntu-10356/151172 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:37:47Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-10356/1511722021-06-17T02:50:32Z Steady-state analysis of probabilistic Boolean networks Pan, Jinfeng Feng, Jun-e Meng, Min School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Genetic Networks Controllability This paper investigates steady-state distributions of probabilistic Boolean networks via cascading aggregation. Under this approach, the problem is converted to computing least square solutions to several corresponding equations. Two necessary and sufficient conditions for the existence of the steady-state distributions for probabilistic Boolean networks are given firstly. Secondly, an algorithm for finding the steady-state distributions of probabilistic probabilistic Boolean networks is given. Finally, a numerical example is given to show the effectiveness of the proposed method. This work was supported by National Natural Science Foundation under Grants 61773371 and 61877036, and China Postdoctoral Science Foundation under Grant 2016M-602143. 2021-06-17T02:50:32Z 2021-06-17T02:50:32Z 2019 Journal Article Pan, J., Feng, J. & Meng, M. (2019). Steady-state analysis of probabilistic Boolean networks. Journal of the Franklin Institute, 356(5), 2994-3009. https://dx.doi.org/10.1016/j.jfranklin.2019.01.039 0016-0032 https://hdl.handle.net/10356/151172 10.1016/j.jfranklin.2019.01.039 2-s2.0-85061155208 5 356 2994 3009 en Journal of the Franklin Institute © 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. |
| spellingShingle | Engineering::Electrical and electronic engineering Genetic Networks Controllability Pan, Jinfeng Feng, Jun-e Meng, Min Steady-state analysis of probabilistic Boolean networks |
| title | Steady-state analysis of probabilistic Boolean networks |
| title_full | Steady-state analysis of probabilistic Boolean networks |
| title_fullStr | Steady-state analysis of probabilistic Boolean networks |
| title_full_unstemmed | Steady-state analysis of probabilistic Boolean networks |
| title_short | Steady-state analysis of probabilistic Boolean networks |
| title_sort | steady state analysis of probabilistic boolean networks |
| topic | Engineering::Electrical and electronic engineering Genetic Networks Controllability |
| url | https://hdl.handle.net/10356/151172 |
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