Mutual information in random Boolean models of regulatory networks
(2008) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 77(1). Abstract
 The amount of mutual information contained in the time series of two elements gives a measure of how well their activities are coordinated. In a large, complex network of interacting elements, such as a genetic regulatory network within a cell, the average of the mutual information over all pairs, ⟨I⟩, is a global measure of how well the system can coordinate its internal dynamics. We study this average pairwise mutual information in random Boolean networks (RBNs) as a function of the distribution of Boolean rules implemented at each element, assuming that the links in the network are randomly placed. Efficient numerical methods for calculating ⟨I⟩ show that as the number of network nodes, N, approaches infinity, the quantity N⟨I⟩ exhibits... (More)
 The amount of mutual information contained in the time series of two elements gives a measure of how well their activities are coordinated. In a large, complex network of interacting elements, such as a genetic regulatory network within a cell, the average of the mutual information over all pairs, ⟨I⟩, is a global measure of how well the system can coordinate its internal dynamics. We study this average pairwise mutual information in random Boolean networks (RBNs) as a function of the distribution of Boolean rules implemented at each element, assuming that the links in the network are randomly placed. Efficient numerical methods for calculating ⟨I⟩ show that as the number of network nodes, N, approaches infinity, the quantity N⟨I⟩ exhibits a discontinuity at parameter values corresponding to critical RBNs. For finite systems it peaks near the critical value, but slightly in the disordered regime for typical parameter variations. The source of high values of N⟨I⟩ is the indirect correlations between pairs of elements from different long chains with a common starting point. The contribution from pairs that are directly linked approaches zero for critical networks and peaks deep in the disordered regime. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/1260884
 author
 Ribeiro, Andre S.; Kauffman, Stuart A.; LloydPrice, Jason; Samuelsson, Björn ^{LU} and Socolar, Joshua E. S.
 publishing date
 2008
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
 volume
 77
 issue
 1
 publisher
 American Physical Society
 external identifiers

 scopus:40749150320
 ISSN
 15393755
 DOI
 10.1103/PhysRevE.77.011901
 language
 English
 LU publication?
 no
 id
 5f6b2cb264244e25886b4aa3c34af5b1 (old id 1260884)
 alternative location
 http://link.aps.org/abstract/PRE/v77/e011901
 date added to LUP
 20081031 09:02:40
 date last changed
 20190911 01:41:05
@article{5f6b2cb264244e25886b4aa3c34af5b1, abstract = {The amount of mutual information contained in the time series of two elements gives a measure of how well their activities are coordinated. In a large, complex network of interacting elements, such as a genetic regulatory network within a cell, the average of the mutual information over all pairs, ⟨I⟩, is a global measure of how well the system can coordinate its internal dynamics. We study this average pairwise mutual information in random Boolean networks (RBNs) as a function of the distribution of Boolean rules implemented at each element, assuming that the links in the network are randomly placed. Efficient numerical methods for calculating ⟨I⟩ show that as the number of network nodes, N, approaches infinity, the quantity N⟨I⟩ exhibits a discontinuity at parameter values corresponding to critical RBNs. For finite systems it peaks near the critical value, but slightly in the disordered regime for typical parameter variations. The source of high values of N⟨I⟩ is the indirect correlations between pairs of elements from different long chains with a common starting point. The contribution from pairs that are directly linked approaches zero for critical networks and peaks deep in the disordered regime.}, articleno = {011901}, author = {Ribeiro, Andre S. and Kauffman, Stuart A. and LloydPrice, Jason and Samuelsson, Björn and Socolar, Joshua E. S.}, issn = {15393755}, language = {eng}, number = {1}, publisher = {American Physical Society}, series = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}, title = {Mutual information in random Boolean models of regulatory networks}, url = {http://dx.doi.org/10.1103/PhysRevE.77.011901}, volume = {77}, year = {2008}, }