{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T16:26:45Z","timestamp":1743006405431,"version":"3.40.3"},"publisher-location":"Cham","reference-count":35,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031426964"},{"type":"electronic","value":"9783031426971"}],"license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"DOI":"10.1007\/978-3-031-42697-1_13","type":"book-chapter","created":{"date-parts":[[2023,9,8]],"date-time":"2023-09-08T09:02:29Z","timestamp":1694163749000},"page":"184-201","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Condition for\u00a0Periodic Attractor in\u00a04-Dimensional Repressilators"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8265-0984","authenticated-orcid":false,"given":"Honglu","family":"Sun","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3727-2320","authenticated-orcid":false,"given":"Maxime","family":"Folschette","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5443-0506","authenticated-orcid":false,"given":"Morgan","family":"Magnin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,9,9]]},"reference":[{"issue":"4","key":"13_CR1","doi-asserted-by":"publisher","first-page":"561","DOI":"10.1016\/j.jtbi.2009.02.005","volume":"258","author":"W Abou-Jaoud\u00e9","year":"2009","unstructured":"Abou-Jaoud\u00e9, W., Ouattara, D.A., Kaufman, M.: From structure to dynamics: frequency tuning in the p53-mdm2 network: I. logical approach. J. Theor. Biol. 258(4), 561\u2013577 (2009)","journal-title":"J. Theor. Biol."},{"issue":"5","key":"13_CR2","doi-asserted-by":"publisher","first-page":"1410","DOI":"10.1109\/TCBB.2012.87","volume":"9","author":"T Akutsu","year":"2012","unstructured":"Akutsu, T., Kosub, S., Melkman, A.A., Tamura, T.: Finding a periodic attractor of a boolean network. IEEE\/ACM Trans. Comput. Biol. Bioinf. 9(5), 1410\u20131421 (2012)","journal-title":"IEEE\/ACM Trans. Comput. Biol. Bioinf."},{"issue":"2","key":"13_CR3","doi-asserted-by":"publisher","DOI":"10.1098\/rsos.192054","volume":"7","author":"S Almeida","year":"2020","unstructured":"Almeida, S., Chaves, M., Delaunay, F.: Control of synchronization ratios in clock\/cell cycle coupling by growth factors and glucocorticoids. Royal Soc. Open Sci. 7(2), 192054 (2020)","journal-title":"Royal Soc. Open Sci."},{"issue":"1","key":"13_CR4","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1038\/msb.2010.55","volume":"6","author":"D Barik","year":"2010","unstructured":"Barik, D., Baumann, W.T., Paul, M.R., Novak, B., Tyson, J.J.: A model of yeast cell-cycle regulation based on multisite phosphorylation. Molec. Syst. Biol. 6(1), 405 (2010)","journal-title":"Molec. Syst. Biol."},{"issue":"01","key":"13_CR5","doi-asserted-by":"publisher","first-page":"1640001","DOI":"10.1142\/S0219720016400011","volume":"14","author":"J Behaegel","year":"2016","unstructured":"Behaegel, J., Comet, J.P., Bernot, G., Cornillon, E., Delaunay, F.: A hybrid model of cell cycle in mammals. J. Bioinf. Comput. Biol. 14(01), 1640001 (2016)","journal-title":"J. Bioinf. Comput. Biol."},{"key":"13_CR6","unstructured":"Bernot, G., Comet, J.P., Khalis, Z.: Gene regulatory networks with multiplexes. In: European Simulation and Modelling Conference Proceedings, pp. 423\u2013432 (2008)"},{"key":"13_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"362","DOI":"10.1007\/978-3-030-60327-4_21","volume-title":"Computational Methods in Systems Biology","author":"D Boyenval","year":"2020","unstructured":"Boyenval, D., Bernot, G., Collavizza, H., Comet, J.-P.: What is a cell cycle checkpoint? the TotemBioNet answer. In: Abate, A., Petrov, T., Wolf, V. (eds.) CMSB 2020. LNCS, vol. 12314, pp. 362\u2013372. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-60327-4_21"},{"issue":"6","key":"13_CR8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.81.066206","volume":"81","author":"O Bu\u015fe","year":"2010","unstructured":"Bu\u015fe, O., P\u00e9rez, R., Kuznetsov, A.: Dynamical properties of the repressilator model. Phys. Rev. E 81(6), 066206 (2010)","journal-title":"Phys. Rev. E"},{"key":"13_CR9","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-16750-8_1","volume-title":"Computational Systems-Biology and Bioinformatics","author":"J-P Comet","year":"2010","unstructured":"Comet, J.-P., Fromentin, J., Bernot, G., Roux, O.: A formal model for gene regulatory networks with time delays. In: Chan, J.H., Ong, Y.-S., Cho, S.-B. (eds.) CSBio 2010. CCIS, vol. 115, pp. 1\u201313. Springer, Heidelberg (2010). https:\/\/doi.org\/10.1007\/978-3-642-16750-8_1"},{"key":"13_CR10","unstructured":"Cornillon, E., Comet, J.P., Bernot, G., En\u00e9e, G.: Hybrid gene networks: a new framework and a software environment. Adv. Syst. Synth. Biol. (2016)"},{"issue":"6767","key":"13_CR11","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1038\/35002125","volume":"403","author":"MB Elowitz","year":"2000","unstructured":"Elowitz, M.B., Leibler, S.: A synthetic oscillatory network of transcriptional regulators. Nature 403(6767), 335\u2013338 (2000)","journal-title":"Nature"},{"issue":"11","key":"13_CR12","doi-asserted-by":"publisher","first-page":"4270","DOI":"10.1529\/biophysj.107.128017","volume":"94","author":"KI Goh","year":"2008","unstructured":"Goh, K.I., Kahng, B., Cho, K.H.: Sustained oscillations in extended genetic oscillatory systems. Biophys. J. 94(11), 4270\u20134276 (2008)","journal-title":"Biophys. J."},{"issue":"10","key":"13_CR13","doi-asserted-by":"publisher","first-page":"770","DOI":"10.1038\/nrm2503","volume":"9","author":"G Karlebach","year":"2008","unstructured":"Karlebach, G., Shamir, R.: Modelling and analysis of gene regulatory networks. Nat. Rev. Molec. Cell Biol. 9(10), 770\u2013780 (2008)","journal-title":"Nat. Rev. Molec. Cell Biol."},{"issue":"3","key":"13_CR14","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1016\/0022-5193(69)90015-0","volume":"22","author":"SA Kauffman","year":"1969","unstructured":"Kauffman, S.A.: Metabolic stability and epigenesis in randomly constructed genetic nets. J. Theor. Biol. 22(3), 437\u2013467 (1969)","journal-title":"J. Theor. Biol."},{"issue":"1","key":"13_CR15","first-page":"15","volume":"3","author":"Z Khalis","year":"2009","unstructured":"Khalis, Z., Comet, J.P., Richard, A., Bernot, G.: The smbionet method for discovering models of gene regulatory networks. Genes Genom. Genomics 3(1), 15\u201322 (2009)","journal-title":"Genes Genom. Genomics"},{"issue":"1","key":"13_CR16","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1016\/j.cels.2017.06.013","volume":"5","author":"Z Li","year":"2017","unstructured":"Li, Z., Liu, S., Yang, Q.: Incoherent inputs enhance the robustness of biological oscillators. Cell Syst. 5(1), 72\u201381 (2017)","journal-title":"Cell Syst."},{"issue":"1","key":"13_CR17","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1038\/msb4100111","volume":"2","author":"W Ma","year":"2006","unstructured":"Ma, W., Lai, L., Ouyang, Q., Tang, C.: Robustness and modular design of the drosophila segment polarity network. Molec. Syst. Biol. 2(1), 70 (2006)","journal-title":"Molec. Syst. Biol."},{"key":"13_CR18","doi-asserted-by":"crossref","unstructured":"Melkman, A.A., Tamura, T., Akutsu, T.: Determining a singleton attractor of an and\/or boolean network in o (1.587 n) time. Inf. Process. Lett. 110(14\u201315), 565\u2013569 (2010)","DOI":"10.1016\/j.ipl.2010.05.001"},{"key":"13_CR19","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1016\/j.jtbi.2019.05.004","volume":"481","author":"KM Page","year":"2019","unstructured":"Page, K.M.: Oscillations in well-mixed, deterministic feedback systems: beyond ring oscillators. J. Theor. Biol. 481, 44\u201353 (2019)","journal-title":"J. Theor. Biol."},{"issue":"1","key":"13_CR20","doi-asserted-by":"publisher","first-page":"4256","DOI":"10.1038\/s41467-020-18112-5","volume":"11","author":"L Paulev\u00e9","year":"2020","unstructured":"Paulev\u00e9, L., Kol\u010d\u00e1k, J., Chatain, T., Haar, S.: Reconciling qualitative, abstract, and scalable modeling of biological networks. Nat. Commun. 11(1), 4256 (2020)","journal-title":"Nat. Commun."},{"key":"13_CR21","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1016\/j.entcs.2012.05.017","volume":"284","author":"L Paulev\u00e9","year":"2012","unstructured":"Paulev\u00e9, L., Richard, A.: Static analysis of Boolean networks based on interaction graphs: a survey. Electron. Notes Theor. Comput. Sci. 284, 93\u2013104 (2012)","journal-title":"Electron. Notes Theor. Comput. Sci."},{"issue":"4","key":"13_CR22","doi-asserted-by":"publisher","first-page":"521","DOI":"10.1016\/j.cels.2018.02.008","volume":"6","author":"R Perez-Carrasco","year":"2018","unstructured":"Perez-Carrasco, R., Barnes, C.P., Schaerli, Y., Isalan, M., Briscoe, J., Page, K.M.: Combining a toggle switch and a repressilator within the ac-dc circuit generates distinct dynamical behaviors. Cell Syst. 6(4), 521\u2013530 (2018)","journal-title":"Cell Syst."},{"issue":"7626","key":"13_CR23","doi-asserted-by":"publisher","first-page":"514","DOI":"10.1038\/nature19841","volume":"538","author":"L Potvin-Trottier","year":"2016","unstructured":"Potvin-Trottier, L., Lord, N.D., Vinnicombe, G., Paulsson, J.: Synchronous long-term oscillations in a synthetic gene circuit. Nature 538(7626), 514\u2013517 (2016)","journal-title":"Nature"},{"issue":"3","key":"13_CR24","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1016\/j.cels.2019.08.006","volume":"9","author":"L Qiao","year":"2019","unstructured":"Qiao, L., Zhao, W., Tang, C., Nie, Q., Zhang, L.: Network topologies that can achieve dual function of adaptation and noise attenuation. Cell Syst. 9(3), 271\u2013285 (2019)","journal-title":"Cell Syst."},{"issue":"3","key":"13_CR25","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1016\/j.aam.2007.11.003","volume":"41","author":"\u00c9 Remy","year":"2008","unstructured":"Remy, \u00c9., Ruet, P., Thieffry, D.: Graphic requirements for multistability and attractive cycles in a boolean dynamical framework. Adv. Appl. Math. 41(3), 335\u2013350 (2008)","journal-title":"Adv. Appl. Math."},{"key":"13_CR26","doi-asserted-by":"crossref","unstructured":"Ribeiro, T., Folschette, M., Magnin, M., Inoue, K.: Learning any semantics for dynamical systems represented by logic programs (2020)","DOI":"10.1007\/s10994-021-06105-4"},{"issue":"4","key":"13_CR27","doi-asserted-by":"publisher","first-page":"378","DOI":"10.1016\/j.aam.2009.11.011","volume":"44","author":"A Richard","year":"2010","unstructured":"Richard, A.: Negative circuits and sustained oscillations in asynchronous automata networks. Adv. Appl. Math. 44(4), 378\u2013392 (2010)","journal-title":"Adv. Appl. Math."},{"issue":"18","key":"13_CR28","doi-asserted-by":"publisher","first-page":"2403","DOI":"10.1016\/j.dam.2007.04.019","volume":"155","author":"A Richard","year":"2007","unstructured":"Richard, A., Comet, J.P.: Necessary conditions for multistationarity in discrete dynamical systems. Disc. Appl. Math. 155(18), 2403\u20132413 (2007)","journal-title":"Disc. Appl. Math."},{"key":"13_CR29","doi-asserted-by":"crossref","unstructured":"Richard, A., Tonello, E.: Attractor separation and signed cycles in asynchronous boolean networks. Theor. Comput. Sci., 113706 (2023)","DOI":"10.1016\/j.tcs.2023.113706"},{"key":"13_CR30","doi-asserted-by":"publisher","unstructured":"Sun., H., Comet., J., Folschette., M., Magnin., M.: Condition for sustained oscillations in repressilator based on a hybrid modeling of gene regulatory networks. In: Proceedings of the 16th International Joint Conference on Biomedical Engineering Systems and Technologies - BIOINFORMATICS, pp. 29\u201340. INSTICC, SciTePress (2023). https:\/\/doi.org\/10.5220\/0011614300003414","DOI":"10.5220\/0011614300003414"},{"key":"13_CR31","doi-asserted-by":"crossref","unstructured":"Sun, H., Folschette, M., Magnin, M.: Limit cycle analysis of a class of hybrid gene regulatory networks. In: Computational Methods in Systems Biology: 20th International Conference, CMSB 2022, Bucharest, Romania, 14\u201316 September 2022, Proceedings, pp. 217\u2013236. Springer, Heidelberg (2022). DOI: September","DOI":"10.1007\/978-3-031-15034-0_11"},{"issue":"3","key":"13_CR32","doi-asserted-by":"publisher","first-page":"563","DOI":"10.1016\/0022-5193(73)90247-6","volume":"42","author":"R Thomas","year":"1973","unstructured":"Thomas, R.: Boolean formalization of genetic control circuits. J. Theor. Biol. 42(3), 563\u2013585 (1973)","journal-title":"J. Theor. Biol."},{"issue":"1","key":"13_CR33","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0022-5193(05)80350-9","volume":"153","author":"R Thomas","year":"1991","unstructured":"Thomas, R.: Regulatory networks seen as asynchronous automata: a logical description. J. Theor. Biol. 153(1), 1\u201323 (1991)","journal-title":"J. Theor. Biol."},{"issue":"4","key":"13_CR34","doi-asserted-by":"publisher","first-page":"508","DOI":"10.1016\/j.cels.2018.03.013","volume":"6","author":"M Tomazou","year":"2018","unstructured":"Tomazou, M., Barahona, M., Polizzi, K.M., Stan, G.B.: Computational re-design of synthetic genetic oscillators for independent amplitude and frequency modulation. Cell Syst. 6(4), 508\u2013520 (2018)","journal-title":"Cell Syst."},{"issue":"1","key":"13_CR35","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1038\/s42003-021-02987-1","volume":"5","author":"F Zhang","year":"2022","unstructured":"Zhang, F., et al.: Independent control of amplitude and period in a synthetic oscillator circuit with modified repressilator. Commun. Biol. 5(1), 23 (2022)","journal-title":"Commun. Biol."}],"container-title":["Lecture Notes in Computer Science","Computational Methods in Systems Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-42697-1_13","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,8]],"date-time":"2023-09-08T09:04:08Z","timestamp":1694163848000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-42697-1_13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031426964","9783031426971"],"references-count":35,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-42697-1_13","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2023]]},"assertion":[{"value":"9 September 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CMSB","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Computational Methods in Systems Biology","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Luxembourg City","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Luxembourg","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13 September 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15 September 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"cmsb2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/cmsb2023.uni.lu\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Easychair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"28","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"14","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"50% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3.72 (regular), 3 (tool)","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}