Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
6
pubmed:dateCreated
2008-7-16
pubmed:abstractText
Probabilistic Boolean networks (PBNs) have recently been introduced as a promising class of models of genetic regulatory networks. The dynamic behaviour of PBNs can be analysed in the context of Markov chains. A key goal is the determination of the steady-state (long-run) behaviour of a PBN by analysing the corresponding Markov chain. This allows one to compute the long-term influence of a gene on another gene or determine the long-term joint probabilistic behaviour of a few selected genes. Because matrix-based methods quickly become prohibitive for large sizes of networks, we propose the use of Monte Carlo methods. However, the rate of convergence to the stationary distribution becomes a central issue. We discuss several approaches for determining the number of iterations necessary to achieve convergence of the Markov chain corresponding to a PBN. Using a recently introduced method based on the theory of two-state Markov chains, we illustrate the approach on a sub-network designed from human glioma gene expression data and determine the joint steadystate probabilities for several groups of genes.
pubmed:commentsCorrections
http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-10475062, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-10485462, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-10896154, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-10903845, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-11092429, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-11283699, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-11381677, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-11847074, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-11911796, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-12169550, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-12376376, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-12907597, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-8415706, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-8710899, http://linkedlifedata.com/resource/pubmed/commentcorrection/18629023-8758892
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:issn
1531-6912
pubmed:author
pubmed:issnType
Print
pubmed:volume
4
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
601-8
pubmed:year
2003
pubmed:articleTitle
Steady-state analysis of genetic regulatory networks modelled by probabilistic boolean networks.
pubmed:affiliation
Cancer Genomics Laboratory, University of Texas, M. D. Anderson Cancer Center, 1515 Holcombe Blvd., Houston, TX 77030, USA.
pubmed:publicationType
Journal Article