Inherent size constraints on prokaryote gene networks due to "accelerating" growth

Gagen, M. J. and Mattick, J. S. (2004) Inherent size constraints on prokaryote gene networks due to "accelerating" growth. Quantitative Biology, 1-15.

Author Gagen, M. J.
Mattick, J. S.
Title Inherent size constraints on prokaryote gene networks due to "accelerating" growth
Journal name Quantitative Biology
Publication date 2004-01-04
Sub-type Article (original research)
Start page 1
End page 15
Total pages 15
Place of publication United States
Publisher Cornell University
Language eng
Subject 0601 Biochemistry and Cell Biology
0604 Genetics
Abstract Networks exhibiting “accelerating” growth have total link numbers growing faster than linearly with network size and can exhibit transitions from stationary to nonstationary statistics and from random to scale-free to regular statistics at particular critical network sizes. However, if for any reason the network cannot tolerate such gross structural changes then accelerating networks are constrained to have sizes below some critical value. This is of interest as the regulatory gene networks of single celled prokaryotes are characterized by an accelerating quadratic growth and are size constrained to be less than about 10,000 genes encoded in DNA sequence of less than about 10 megabases. This paper presents a probabilistic accelerating network model for prokaryotic gene regulation which closely matches observed statistics by employing two classes of network nodes (regulatory and non-regulatory) and directed links whose inbound heads are exponentially distributed over all nodes and whose outbound tails are preferentially attached to regulatory nodes and described by a scale free distribution. This model explains the observed quadratic growth in regulator number with gene number and predicts an upper prokaryote size limit closely approximating the observed value.
Keyword Prokaryote gene networks
Size constraints
Q-Index Code CX

Document type: Journal Article
Sub-type: Article (original research)
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Institute for Molecular Bioscience - Publications
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Created: Wed, 17 Mar 2010, 11:26:08 EST by Michael Affleck on behalf of Institute for Molecular Bioscience