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This hybrid framework is illustrated by building a 5-variable model of the mammalian cell cycle. Its parameters are determined by applying formal methods on the underlying discrete model and by constraining parameters using timing observations on the cell cycle. This first hybrid model presents the most important known behaviors of the cell cycle, including quiescent phase and endoreplication.<\/jats:p>","DOI":"10.1142\/s0219720016400011","type":"journal-article","created":{"date-parts":[[2015,11,24]],"date-time":"2015-11-24T03:16:58Z","timestamp":1448335018000},"page":"1640001","source":"Crossref","is-referenced-by-count":11,"title":["A hybrid model of cell cycle in mammals"],"prefix":"10.1142","volume":"14","author":[{"given":"Jonathan","family":"Behaegel","sequence":"first","affiliation":[{"name":"Universit\u00e9 Nice-Sophia Antipolis, I3S-UMR CNRS 7271, CS 40121, 06903 Sophia Antipolis Cedex, France"}]},{"given":"Jean-Paul","family":"Comet","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Nice-Sophia Antipolis, I3S-UMR CNRS 7271, CS 40121, 06903 Sophia Antipolis Cedex, France"}]},{"given":"Gilles","family":"Bernot","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Nice-Sophia Antipolis, I3S-UMR CNRS 7271, CS 40121, 06903 Sophia Antipolis Cedex, France"}]},{"given":"Emilien","family":"Cornillon","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Nice-Sophia Antipolis, I3S-UMR CNRS 7271, CS 40121, 06903 Sophia Antipolis Cedex, France"}]},{"given":"Franck","family":"Delaunay","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Nice Sophia Antipolis, CNRS UMR7277, INSERM U1091, Institut de Biologie Valrose, 06108 Nice, France"}]}],"member":"219","published-online":{"date-parts":[[2016,2,24]]},"reference":[{"key":"S0219720016400011BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(73)90247-6"},{"key":"S0219720016400011BIB002","doi-asserted-by":"publisher","DOI":"10.1063\/1.1349893"},{"key":"S0219720016400011BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2004.04.003"},{"key":"S0219720016400011BIB004","doi-asserted-by":"publisher","DOI":"10.1186\/1471-2105-11-385"},{"key":"S0219720016400011BIB005","doi-asserted-by":"publisher","DOI":"10.1159\/000095479"},{"key":"S0219720016400011BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.procs.2012.09.014"},{"key":"S0219720016400011BIB008","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1002\/9781119005223.ch7","volume-title":"Logical Modeling of Biological Systems","author":"Bernot G","year":"2014"},{"key":"S0219720016400011BIB009","first-page":"180","author":"Snoussi EH","year":"1989","journal-title":"Dyn Stabil Syst"},{"key":"S0219720016400011BIB010","doi-asserted-by":"publisher","DOI":"10.1038\/onc.2009.170"},{"key":"S0219720016400011BIB011","doi-asserted-by":"publisher","DOI":"10.1098\/rsfs.2010.0008"},{"key":"S0219720016400011BIB012","doi-asserted-by":"publisher","DOI":"10.1091\/mbc.10.8.2703"},{"key":"S0219720016400011BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.cell.2013.08.062"},{"key":"S0219720016400011BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/S0092-8674(01)00334-8"},{"key":"S0219720016400011BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.cub.2008.07.001"},{"key":"S0219720016400011BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.molcel.2007.02.003"},{"key":"S0219720016400011BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.molcel.2011.01.012"},{"key":"S0219720016400011BIB018","doi-asserted-by":"publisher","DOI":"10.1242\/jcs.00908"},{"key":"S0219720016400011BIB019","doi-asserted-by":"publisher","DOI":"10.3389\/fphys.2012.00368"},{"key":"S0219720016400011BIB021","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1320474111"},{"key":"S0219720016400011BIB022","doi-asserted-by":"publisher","DOI":"10.1096\/fj.14-267195"},{"key":"S0219720016400011BIB023","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-03845-7_10"}],"container-title":["Journal of Bioinformatics and Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219720016400011","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,12]],"date-time":"2024-06-12T16:56:02Z","timestamp":1718211362000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219720016400011"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2]]},"references-count":21,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2016,2,24]]},"published-print":{"date-parts":[[2016,2]]}},"alternative-id":["10.1142\/S0219720016400011"],"URL":"https:\/\/doi.org\/10.1142\/s0219720016400011","relation":{},"ISSN":["0219-7200","1757-6334"],"issn-type":[{"value":"0219-7200","type":"print"},{"value":"1757-6334","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,2]]}}}