{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:33:44Z","timestamp":1750307624399,"version":"3.41.0"},"reference-count":0,"publisher":"Association for Computing Machinery (ACM)","issue":"1-2","license":[{"start":{"date-parts":[[2008,7,25]],"date-time":"2008-07-25T00:00:00Z","timestamp":1216944000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Commun. Comput. Algebra"],"published-print":{"date-parts":[[2008,7,25]]},"abstract":"<jats:p>Gr\u00f6bner fans have gained popularity in computational commutative algebra and algebraic geometry with applications ranging from Gr\u00f6bner basis conversion to the emerging field of tropical mathematics. Recently Gr\u00f6bner fans have been employed for the selection of minimal models that fit measurement data from gene regulatory networks. The model space is described as the sum of an interpolating polynomial function f and the set of all polynomials that vanish on the data, that is, the ideal of data points. A minimal model can be chosen by computing the reduction of f with respect to a fixed Gr\u00f6bner basis, which is dependent on the choice of term order. As Gr\u00f6bner fans partition the set of Gr\u00f6bner bases into equivalence classes, they can be thought of as parametrizations of the model space. This characterization permits exploration of the model space and discovery of \"most likely\" models. In this poster we show how Gr\u00f6bner fans are used to two reconstruct gene regulatory networks: lactose metabolism in the bacterium E. coli and tissue development in the roundworm C. elegans.<\/jats:p>","DOI":"10.1145\/1394042.1394079","type":"journal-article","created":{"date-parts":[[2008,7,29]],"date-time":"2008-07-29T13:22:19Z","timestamp":1217337739000},"page":"69-69","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Applications of the gr\u00f6bner fan to gene network reconstruction (abstract only)"],"prefix":"10.1145","volume":"42","author":[{"given":"Elena S.","family":"Dimitrova","sequence":"first","affiliation":[{"name":"Clemson University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Brandilyn","family":"Stigler","sequence":"additional","affiliation":[{"name":"The Ohio State University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abdul Salam","family":"Jarrah","sequence":"additional","affiliation":[{"name":"Virginia Tech"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Reinhard","family":"Laubenbacher","sequence":"additional","affiliation":[{"name":"Virginia Tech"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2008,7,25]]},"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1394042.1394079","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T12:45:52Z","timestamp":1750250752000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1394042.1394079"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,7,25]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2008,7,25]]}},"alternative-id":["10.1145\/1394042.1394079"],"URL":"https:\/\/doi.org\/10.1145\/1394042.1394079","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2008,7,25]]},"assertion":[{"value":"2008-07-25","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}