{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T15:09:36Z","timestamp":1743088176211,"version":"3.40.3"},"publisher-location":"Cham","reference-count":25,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030851644"},{"type":"electronic","value":"9783030851651"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-85165-1_1","type":"book-chapter","created":{"date-parts":[[2021,8,15]],"date-time":"2021-08-15T23:03:01Z","timestamp":1629068581000},"page":"1-5","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Families of Polynomials in the Study of\u00a0Biochemical Reaction Networks"],"prefix":"10.1007","author":[{"given":"Alicia","family":"Dickenstein","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,8,16]]},"reference":[{"unstructured":"Bernal, E., Hauenstein, J., Mehta, D, Regan, M., Tang, T.: Machine learning the discriminant locus. Preprint available at arXiv:2006.14078 (2020)","key":"1_CR1"},{"key":"1_CR2","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1016\/j.jalgebra.2019.10.002","volume":"542","author":"F Bihan","year":"2020","unstructured":"Bihan, F., Giaroli, M., Dickenstein, A.: Lower bounds for positive roots and regions of multistationarity in chemical reaction networks. J. Algebra 542, 367\u2013411 (2020)","journal-title":"J. Algebra"},{"issue":"4","key":"1_CR3","doi-asserted-by":"publisher","first-page":"620","DOI":"10.1137\/18M1181912","volume":"2","author":"F Bihan","year":"2018","unstructured":"Bihan, F., Santos, F., Spaenlehauer, P.-J.: A polyhedral method for sparse systems with many positive solutions. SIAM J. Appl. Algebra Geom. 2(4), 620\u2013645 (2018)","journal-title":"SIAM J. Appl. Algebra Geom."},{"issue":"3","key":"1_CR4","doi-asserted-by":"publisher","first-page":"767","DOI":"10.1007\/s10208-020-09464-x","volume":"21","author":"J B\u00f6hm","year":"2020","unstructured":"B\u00f6hm, J., Decker, W., Fr\u00fchbis-Kr\u00fcger, A., Pfreundt, F.-J., Rahn, M., Ristau, L.: Towards massively parallel computations in algebraic geometry. Found. Comput. Math. 21(3), 767\u2013806 (2020). https:\/\/doi.org\/10.1007\/s10208-020-09464-x","journal-title":"Found. Comput. Math."},{"issue":"10","key":"1_CR5","doi-asserted-by":"publisher","first-page":"e1005751","DOI":"10.1371\/journal.pcbi.1005751","volume":"13","author":"C Conradi","year":"2017","unstructured":"Conradi, C., Feliu, E., Mincheva, M., Wiuf, C.: Identifying parameter regions for multistationarity. PLoS Comput. Biol. 13(10), e1005751 (2017)","journal-title":"PLoS Comput. Biol."},{"doi-asserted-by":"crossref","unstructured":"Cox, D.A.: Applications of Polynomial Systems, with contributions by C. D\u2019Andrea, A. Dickenstein, J. Hauenstein, H.Schenck, and J. Sidman. Co-publication of the AMS and CBMS (2020)","key":"1_CR6","DOI":"10.1090\/cbms\/134"},{"doi-asserted-by":"crossref","unstructured":"Dickenstein, A.: Biochemical reaction networks: an invitation for algebraic geometers. In: MCA 2013, Contemporary Mathematics, vol. 656, pp. 65\u201383 (2016)","key":"1_CR7","DOI":"10.1090\/conm\/656\/13076"},{"key":"1_CR8","series-title":"Association for Women in Mathematics Series","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/978-3-030-21170-7_2","volume-title":"World Women in Mathematics 2018","author":"A Dickenstein","year":"2019","unstructured":"Dickenstein, A.: Algebra and geometry in the study of enzymatic cascades. In: Araujo, C., Benkart, G., Praeger, C.E., Tanbay, B. (eds.) World Women in Mathematics 2018. AWMS, vol. 20, pp. 57\u201381. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-21170-7_2"},{"issue":"11","key":"1_CR9","doi-asserted-by":"publisher","first-page":"1706","DOI":"10.1090\/noti2188","volume":"67","author":"A Dickenstein","year":"2020","unstructured":"Dickenstein, A.: Algebraic geometry tools in systems biology. Notices Amer. Math. Soc. 67(11), 1706\u20131715 (2020)","journal-title":"Notices Amer. Math. Soc."},{"unstructured":"Dickenstein, A., Giaroli, M., P\u00e9rez Mill\u00e1n, M., Rischter, R.: Detecting the multistationarity structure in enzymatic networks. Manuscript (2021)","key":"1_CR10"},{"key":"1_CR11","doi-asserted-by":"publisher","first-page":"1527","DOI":"10.1007\/s11538-019-00572-6","volume":"81","author":"A Dickenstein","year":"2019","unstructured":"Dickenstein, A., P\u00e9rez Mill\u00e1n, M., Shiu, A., Tang, X.: Mutistationarity in structured reaction networks. Bull. Math. Biol. 81, 1527\u20131581 (2019)","journal-title":"Bull. Math. Biol."},{"key":"1_CR12","series-title":"Applied Mathematical Sciences","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-03858-8","volume-title":"Foundations of Chemical Reaction Network Theory","author":"M Feinberg","year":"2019","unstructured":"Feinberg, M.: Foundations of Chemical Reaction Network Theory. AMS, vol. 202. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-03858-8"},{"issue":"11","key":"1_CR13","doi-asserted-by":"publisher","first-page":"5629","DOI":"10.1088\/1361-6544\/ab9a1e","volume":"33","author":"E Feliu","year":"2020","unstructured":"Feliu, E., Rendall, A., Wiuf, C.: A proof of unlimited multistability for phosphorylation cycles. Nonlinearity 33(11), 5629 (2020)","journal-title":"Nonlinearity"},{"key":"1_CR14","doi-asserted-by":"publisher","first-page":"20130484","DOI":"10.1098\/rsif.2013.0484","volume":"10","author":"E Feliu","year":"2013","unstructured":"Feliu, E., Wiuf, C.: Simplifying biochemical models with intermediate species. J. R. Soc. Interface 10, 20130484 (2013)","journal-title":"J. R. Soc. Interface"},{"issue":"4","key":"1_CR15","doi-asserted-by":"publisher","first-page":"1115","DOI":"10.1007\/s00285-018-1304-0","volume":"78","author":"M Giaroli","year":"2019","unstructured":"Giaroli, M., Bihan, F., Dickenstein, A.: Regions of multistationarity in cascades of Goldbeter-Koshland loops. J. Math. Biol. 78(4), 1115\u20131145 (2019)","journal-title":"J. Math. Biol."},{"issue":"6","key":"1_CR16","doi-asserted-by":"publisher","first-page":"7589","DOI":"10.3934\/mbe.2019381","volume":"16","author":"M Giaroli","year":"2019","unstructured":"Giaroli, M., Rischter, R., P\u00e9rez Mill\u00e1n, M., Dickenstein, A.: Parameter regions that give rise to $$2\\lfloor \\frac{n}{2}\\rfloor +1$$ positive steady states in the $$n$$-site phosphorylation system. Math. Biosci. Eng. 16(6), 7589\u20137615 (2019)","journal-title":"Math. Biosci. Eng."},{"issue":"1","key":"1_CR17","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/s11538-015-0125-1","volume":"78","author":"E Gross","year":"2015","unstructured":"Gross, E., Harrington, H.A., Rosen, Z., Sturmfels, B.: Algebraic systems biology: a case study for the Wnt pathway. Bull. Math. Biol. 78(1), 21\u201351 (2015). https:\/\/doi.org\/10.1007\/s11538-015-0125-1","journal-title":"Bull. Math. Biol."},{"issue":"5","key":"1_CR18","doi-asserted-by":"publisher","first-page":"e1007573","DOI":"10.1371\/journal.pcbi.1007573","volume":"16","author":"K Nam","year":"2020","unstructured":"Nam, K., Gyori, B., Amethyst, S., Bates, D., Gunawardena, J.: Robustness and parameter geography in post-translational modification systems. PLoS Comput. Biol. 16(5), e1007573 (2020)","journal-title":"PLoS Comput. Biol."},{"issue":"14","key":"1_CR19","doi-asserted-by":"publisher","first-page":"dev143818","DOI":"10.1242\/dev.143818","volume":"145","author":"A Patel","year":"2018","unstructured":"Patel, A., Shvartsman, S.: Outstanding questions in developmental ERK signaling. Development 145(14), dev143818 (2018)","journal-title":"Development"},{"unstructured":"Peifer, D., Stillman, M., Halpern-Leistner, D.: Learning selection strategies in Buchberger\u2019s algorithm. In: Proceedings of the 37th International Conference on Machine Learning, Online, PMLR 119, pp. 7575\u20137585 (2020)","key":"1_CR20"},{"issue":"2","key":"1_CR21","doi-asserted-by":"publisher","first-page":"1650","DOI":"10.1137\/17M1113722","volume":"17","author":"M P\u00e9rez Mill\u00e1n","year":"2018","unstructured":"P\u00e9rez Mill\u00e1n, M., Dickenstein, A.: The structure of MESSI biological systems. SIAM J. Appl. Dyn. Syst. 17(2), 1650\u20131682 (2018)","journal-title":"SIAM J. Appl. Dyn. Syst."},{"issue":"5","key":"1_CR22","doi-asserted-by":"publisher","first-page":"1027","DOI":"10.1007\/s11538-011-9685-x","volume":"74","author":"M P\u00e9rez Mill\u00e1n","year":"2012","unstructured":"P\u00e9rez Mill\u00e1n, M., Dickenstein, A., Shiu, A., Conradi, C.: Chemical reaction systems with toric steady states. Bull. Math. Biol. 74(5), 1027\u20131065 (2012)","journal-title":"Bull. Math. Biol."},{"key":"1_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-030-60026-6_1","volume-title":"Computer Algebra in Scientific Computing","author":"O Radulescu","year":"2020","unstructured":"Radulescu, O.: Tropical geometry of biological systems (Invited Talk). In: Boulier, F., England, M., Sadykov, T.M., Vorozhtsov, E.V. (eds.) CASC 2020. LNCS, vol. 12291, pp. 1\u201313. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-60026-6_1"},{"key":"1_CR24","doi-asserted-by":"publisher","first-page":"2428","DOI":"10.1007\/s11538-019-00612-1","volume":"81","author":"A Sadeghimanesh","year":"2019","unstructured":"Sadeghimanesh, A., Feliu, E.: The multistationarity structure of networks with intermediates and a binomial core network. Bull. Math. Biol. 81, 2428\u20132462 (2019)","journal-title":"Bull. Math. Biol."},{"doi-asserted-by":"crossref","unstructured":"Sturmfels, B.: On the number of real roots of a sparse polynomial system. In: Hamiltonian and Gradient Flows, Algorithms and Control, Fields Inst. Commun., 3, Amer. Math. Soc., Providence, RI, pp. 137\u2013143 (1994)","key":"1_CR25","DOI":"10.1090\/fic\/003\/10"}],"container-title":["Lecture Notes in Computer Science","Computer Algebra in Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-85165-1_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,30]],"date-time":"2021-12-30T21:49:34Z","timestamp":1640900974000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-85165-1_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030851644","9783030851651"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-85165-1_1","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"16 August 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CASC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Workshop on Computer Algebra in Scientific Computing","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Sochi","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Russia","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13 September 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 September 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"23","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"casc2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/casc-conference.org\/","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":"40","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":"24","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":"1","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":"60% - 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":"3.41","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":"5","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)"}}]}}