{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T19:01:16Z","timestamp":1777748476487,"version":"3.51.4"},"reference-count":20,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2015,7,3]],"date-time":"2015-07-03T00:00:00Z","timestamp":1435881600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["In Silico Biology"],"published-print":{"date-parts":[[2015,7,3]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Analysis of metabolic networks typically begins with construction of the stoichiometry\n          matrix, which characterizes the network topology. This matrix provides, via the balance\n          equation, a description of the potential steady-state flow distribution. This paper begins\n          with the observation that the balance equation depends only on the structure of linear\n          redundancies in the network, and so can be stated in a succinct manner, leading to\n          computational efficiencies in steady-state analysis. This alternative description of\n          steady-state behaviour is then used to provide a novel method for network reduction, which\n          complements existing algorithms for describing intracellular networks in terms of\n          input-output macro-reactions (to facilitate bioprocess optimization and control). Finally,\n          it is demonstrated that this novel reduction method can be used to address elementary mode\n          analysis of large networks: the modes supported by a reduced network can capture the\n          input-output modes of a metabolic module with significantly reduced computational\n          effort.<\/jats:p>","DOI":"10.3233\/isb-140464","type":"journal-article","created":{"date-parts":[[2015,7,10]],"date-time":"2015-07-10T10:48:42Z","timestamp":1436525322000},"page":"55-67","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Exploiting stoichiometric redundancies for computational efficiency and          network reduction"],"prefix":"10.1177","volume":"12","author":[{"given":"Brian P.","family":"Ingalls","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario,\r          Canada"}]},{"given":"Eric","family":"Bembenek","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario,\r          Canada"}]}],"member":"179","published-online":{"date-parts":[[2015,7,3]]},"reference":[{"key":"e_1_3_1_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-5193(03)00146-2"},{"key":"e_1_3_1_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ces.2004.07.128"},{"key":"e_1_3_1_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-1161-4"},{"key":"e_1_3_1_5_1","article-title":"Stoichiometric redundancy: Computational efficiencies and\n            steady-state-consistent network reductions, Colorado","author":"Ingalls BP","year":"2009","unstructured":"IngallsBP2009Stoichiometric redundancy: Computational efficiencies and steady-state-consistent network reductions, ColoradoProceedings of the Conference on Foundations of Systems Biology in Engineering (FOSBE) Denver","journal-title":"Proceedings of 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