creators_name: Patnaik, P R
type: article
datestamp: 2011-12-13 16:48:36
lastmod: 2014-03-31 05:31:51
metadata_visibility: show
title: Uniqueness and multiplicity of steady states in monocyclic enzyme cascades: a graph-theoretic analysis.
ispublished: pub
subjects: QH301
full_text_status: none
note: Copyright © 1995 Academic Press. All rights reserved.
abstract: Monocyclic enzyme cascades are important regulators of biochemical reactions in living cells. The reaction network may have either one steady state or many, depending on its structure. The occurrence of multiple steady states has important biological implications. A simple graph-theoretic method has been applied to five reaction mechanisms--which together cover many common monocyclic cascades--to determine which mechanisms generate just one steady state and which ones allow more than one state. It is shown that an unstable steady state in a multiplicity region can be usefully exploited and that in some cases transitions may occur between uniqueness and multiplicity regions. The possible effects of such transitions are discussed.
date: 1995-11-07
date_type: published
publication: Journal of theoretical biology
volume: 177
number: 1
publisher: Elsevier Science/Academic Press
pagerange: 67-72
refereed: TRUE
issn: 0022-5193
official_url: http://www.sciencedirect.com/science/article/pii/S0022519385702251
related_url_url: http://www.sciencedirect.com/science/article/pii/S0022519385702251
related_url_type: pub
citation:   Patnaik, P R  (1995) Uniqueness and multiplicity of steady states in monocyclic enzyme cascades: a graph-theoretic analysis.  Journal of theoretical biology, 177 (1).  pp. 67-72.  ISSN 0022-5193     
document_url: http://crdd.osdd.net/open/389/1/pat95%28s6%29.pdf