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Order or chaos in Boolean gene networks depends on the mean fraction of canalizing functions
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.ORCID iD: 0000-0003-0528-9782
2007 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, Vol. 384, no 2, 747-757 p.Article in journal (Refereed) Published
Abstract [en]

We explore the connection between order/chaos in Boolean networks and the naturally occurring fraction of canalizing functions in such systems. This fraction turns out to give a very clear indication of whether the system possesses ordered or chaotic dynamics, as measured by Derrida plots, and also the degree of order when we compare different networks with the same number of vertices and edges. By studying also a wide distribution of indegrees in a network, we show that the mean probability of canalizing functions is a more reliable indicator of the type of dynamics for a finite network than the classical result on stability relating the bias to the mean indegree. Finally, we compare by direct simulations two biologically derived networks with networks of similar sizes but with power-law and Poisson distributions of indegrees, respectively. The biologically motivated networks are not more ordered than the latter, and in one case the biological network is even chaotic while the others are not. © 2007 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
2007. Vol. 384, no 2, 747-757 p.
Keyword [en]
Boolean, network, canalizing, order, chaos, topology, gene network, noise
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-38622DOI: 10.1016/j.physa.2007.05.050Local ID: 45031OAI: diva2:259471
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2013-09-12

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Hörnquist, Michael
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The Institute of TechnologyDepartment of Science and Technology
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