RELEVANT CYCLES IN CHEMICAL REACTION NETWORKS

Petra M. Gleiss (), Peter F. Stadler (), Andreas Wagner () and David A. Fell ()
Additional contact information
Petra M. Gleiss: Institut für Theoretische Chemie und Molekulare Strukturbiologie, Universität Wien, Währingerstraße 17, A-1090 Wien, Austria
Peter F. Stadler: Institut für Theoretische Chemie und Molekulare Strukturbiologie, Universität Wien, Währingerstraße 17, A 1090 Wien, Austria;
Andreas Wagner: Dept. of Biology, University of New Mexico, 167A Castetter Hall, Albuquerque, NM-817131-1091, USA;
David A. Fell: School of Biological & Molecular Sciences, Oxford Brookes University, Oxford OX3 OBP, UK

Advances in Complex Systems (ACS), 2001, vol. 04, issue 02n03, 207-226

Abstract: We characterize the distributions of short cycles in a large metabolic network previously shown to have small world characteristics and a power law degree distribution. Compared with three classes of random networks, including Erdős–Rényi random graphs and synthetic small world networks of the same connectivity, both the metabolic network and models for the chemical reaction networks of planetary atmospheres have a particularly large number of triangles and a deficit in large cycles. Short cycles reduce the length of detours when a connection is clipped, so we propose that long cycles in metabolism may have been selected against in order to shorten transition times and reduce the likelihood of oscillations in response to external perturbations.

Keywords: Cycle basis; small world network; metabolic network; planetary atmosphere (search for similar items in EconPapers)
Date: 2001
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219525901000140
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:acsxxx:v:04:y:2001:i:02n03:n:s0219525901000140

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219525901000140

Access Statistics for this article

Advances in Complex Systems (ACS) is currently edited by Frank Schweitzer

More articles in Advances in Complex Systems (ACS) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().