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abstract: |
We provide the first classification of different types of
Random Boolean Networks (RBNs). We study the differences
of RBNs depending on the degree of synchronicity and
determinism of their updating scheme. For doing so, we first
define three new types of RBNs. We note some similarities
and differences between different types of RBNs with the aid
of a public software laboratory we developed. Particularly, we
find that the point attractors are independent of the updating
scheme, and that RBNs are more different depending on their
determinism or non-determinism rather than depending on
their synchronicity or asynchronicity. We also show a way of
mapping non-synchronous deterministic RBNs into
synchronous RBNs. Our results are important for justifying
the use of specific types of RBNs for modelling natural
phenomena.
altloc:
- http://www.cogs.susx.ac.uk/users/carlos/doc/RBNClassification.pdf
chapter: ~
commentary: ~
commref: ~
confdates: '9-13th December, 2002'
conference: |-
Artificial Life VIII
The 8th International Conference on the Simulation and Synthesis of Living
Systems
confloc: 'Sydney, Australia'
contact_email: ~
creators_id: []
creators_name:
- family: Gershenson
given: Carlos
honourific: ''
lineage: ''
date: 2002
date_type: published
datestamp: 2002-07-15
department: ~
dir: disk0/00/00/23/19
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editors_id: []
editors_name: []
eprint_status: archive
eprintid: 2319
fileinfo: /style/images/fileicons/application_pdf.png;/2319/3/RBNClassification.pdf
full_text_status: public
importid: ~
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isbn: ~
ispublished: inpress
issn: ~
item_issues_comment: []
item_issues_count: 0
item_issues_description: []
item_issues_id: []
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item_issues_resolved_by: []
item_issues_status: []
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keywords: 'Random Boolean Networks, Cellular Automata, Discrete Dynamical Systems'
lastmod: 2011-03-11 08:54:57
latitude: ~
longitude: ~
metadata_visibility: show
note: ~
number: ~
pagerange: ~
pubdom: FALSE
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refereed: TRUE
referencetext: |-
Aldana, M., S. Coppersmith and L. P. Kadanoff (2002).
Boolean Dynamics with Random Couplings.
Bilke, S. and F. Sjunnesson (2002). Stability of the Kauffman
Model, Physical Review E 65 016129.
Di Paolo, E. A. (2001) Rhythmic and Non-rhythmic
Attractors in Asynchronous Random Boolean Networks.
Biosystems, 59 (3), pp. 185-195.
Harvey, I. and T. Bossomaier (1997) Time Out of Joint:
Attractors in Asynchronous Random Boolean Networks. In
Proceedings of the Fourth European Conference on
Artificial Life (ECAL97), P. Husbands and I. Harvey
(Eds.). MIT Press 1997, pp. 67-75.
Kauffman, S. A. (1969) Metabolic Stability and Epigenesis
in Randomly Constructed Genetic Nets. Journal of
Theoretical Biology, 22, pp. 437-467.
Kauffman, S. A. (1993) The Origins of Order. Oxford
University Press.
von Neumann, J. (1966) The Theory of Self-Reproducing
Automata. (edited by A. W. Burks), University of Illinois
Press.
Wuensche, A. (1997) Attractor Basins of Discrete Networks,
D. Phil Thesis, CSRP 461, University of Sussex.
Wuensche, A. (1998) Discrete Dynamical Networks and their
Attractor Basins. Complexity International 6, Also SFI
Working Paper 98-11-101.
relation_type: []
relation_uri: []
reportno: ~
rev_number: 12
series: ~
source: ~
status_changed: 2007-09-12 16:44:11
subjects:
- comp-sci-mach-dynam-sys
succeeds: ~
suggestions: ~
sword_depositor: ~
sword_slug: ~
thesistype: ~
title: Classification of Random Boolean Networks
type: confpaper
userid: 3228
volume: ~