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- Publisher Website: 10.1016/j.cam.2012.02.022
- Scopus: eid_2-s2.0-84862818909
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Article: On computation of the steady-state probability distribution of probabilistic Boolean networks with gene perturbation
Title | On computation of the steady-state probability distribution of probabilistic Boolean networks with gene perturbation |
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Authors | |
Keywords | Probabilistic Boolean networks Perturbation bound Iterative methods Structured matrices Steady-state probability distribution |
Issue Date | 2012 |
Citation | Journal of Computational and Applied Mathematics, 2012, v. 236, n. 16, p. 4067-4081 How to Cite? |
Abstract | Given a Probabilistic Boolean Network (PBN), an important problem is to study its steady-state probability distribution for network analysis. In this paper, we present a new perturbation bound of the steady-state probability distribution of PBNs with gene perturbation. The main contribution of our results is that this new bound is established without additional condition required by the existing method. The other contribution of this paper is to propose a fast algorithm based on the special structure of a transition probability matrix of PBNs with gene perturbation to compute its steady-state probability distribution. Experimental results are given to demonstrate the effectiveness of the new bound, and the efficiency of the proposed method. © 2012 Elsevier B.V. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/276922 |
ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 0.858 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Wen | - |
dc.contributor.author | Cui, Lu Bin | - |
dc.contributor.author | Ng, Michael K. | - |
dc.date.accessioned | 2019-09-18T08:35:04Z | - |
dc.date.available | 2019-09-18T08:35:04Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Journal of Computational and Applied Mathematics, 2012, v. 236, n. 16, p. 4067-4081 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276922 | - |
dc.description.abstract | Given a Probabilistic Boolean Network (PBN), an important problem is to study its steady-state probability distribution for network analysis. In this paper, we present a new perturbation bound of the steady-state probability distribution of PBNs with gene perturbation. The main contribution of our results is that this new bound is established without additional condition required by the existing method. The other contribution of this paper is to propose a fast algorithm based on the special structure of a transition probability matrix of PBNs with gene perturbation to compute its steady-state probability distribution. Experimental results are given to demonstrate the effectiveness of the new bound, and the efficiency of the proposed method. © 2012 Elsevier B.V. All rights reserved. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Computational and Applied Mathematics | - |
dc.subject | Probabilistic Boolean networks | - |
dc.subject | Perturbation bound | - |
dc.subject | Iterative methods | - |
dc.subject | Structured matrices | - |
dc.subject | Steady-state probability distribution | - |
dc.title | On computation of the steady-state probability distribution of probabilistic Boolean networks with gene perturbation | - |
dc.type | Article | - |
dc.description.nature | link_to_OA_fulltext | - |
dc.identifier.doi | 10.1016/j.cam.2012.02.022 | - |
dc.identifier.scopus | eid_2-s2.0-84862818909 | - |
dc.identifier.volume | 236 | - |
dc.identifier.issue | 16 | - |
dc.identifier.spage | 4067 | - |
dc.identifier.epage | 4081 | - |
dc.identifier.isi | WOS:000305864800019 | - |
dc.identifier.issnl | 0377-0427 | - |