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Dynamics of random Boolean networks.

University of Calgary (Canada).

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Dynamics of random Boolean networks.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dynamics of random Boolean networks./
Author:	Berdahl, Andrew Macdonald.
Description:	129 p.
Notes:	Source: Masters Abstracts International, Volume: 48-01, page: .
Contained By:	Masters Abstracts International48-01.
Subject:	Biology, Bioinformatics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=MR51091
ISBN:	9780494510919

Dynamics of random Boolean networks.
Berdahl, Andrew Macdonald.

Dynamics of random Boolean networks. - 129 p.

Source: Masters Abstracts International, Volume: 48-01, page: .

Thesis (M.Sc.)--University of Calgary (Canada), 2009.

Random Boolean networks are conceptual models for systems of interacting elements. The dynamics of these models can be represented by a directed state space network by linking each dynamical state, represented as a node, to its temporal successor. Like all finite discrete deterministic systems the dynamics must eventually settle into a periodic attractor cycle. In this thesis we clarify how different weighting schemes and sampling methods affect the estimates for attractor length distributions in random Boolean networks. We find that the unbiased distribution of attractor lengths decays as a power-law for all K > 1, thus power-law behaviour in this distribution is not an indicator of criticality. However, we observe a power-law in the distribution of the sizes of "avalanches" in critical random Boolean networks only. Finally, we find that dynamical criticality manifests itself as multi-scale heterogeneity in the state space networks.

ISBN: 9780494510919Subjects--Topical Terms:

1018415
Biology, Bioinformatics.

Dynamics of random Boolean networks.
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020 $a 9780494510919
035 $a (UMI)AAIMR51091
035 $a AAIMR51091
040 $a UMI $c UMI
100 1 $a Berdahl, Andrew Macdonald. $3 1035548
245 1 0 $a Dynamics of random Boolean networks.
300 $a 129 p.
500 $a Source: Masters Abstracts International, Volume: 48-01, page: .
502 $a Thesis (M.Sc.)--University of Calgary (Canada), 2009.
520 $a Random Boolean networks are conceptual models for systems of interacting elements. The dynamics of these models can be represented by a directed state space network by linking each dynamical state, represented as a node, to its temporal successor. Like all finite discrete deterministic systems the dynamics must eventually settle into a periodic attractor cycle. In this thesis we clarify how different weighting schemes and sampling methods affect the estimates for attractor length distributions in random Boolean networks. We find that the unbiased distribution of attractor lengths decays as a power-law for all K > 1, thus power-law behaviour in this distribution is not an indicator of criticality. However, we observe a power-law in the distribution of the sizes of "avalanches" in critical random Boolean networks only. Finally, we find that dynamical criticality manifests itself as multi-scale heterogeneity in the state space networks.
590 $a School code: 0026.
650 4 $a Biology, Bioinformatics. $3 1018415
650 4 $a Physics, Theory. $3 1019422
690 $a 0715
690 $a 0753
710 2 $a University of Calgary (Canada). $3 1017619
773 0 $t Masters Abstracts International $g 48-01.
790 $a 0026
791 $a M.Sc.
792 $a 2009
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=MR51091