{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T21:37:45Z","timestamp":1742938665486,"version":"3.40.3"},"publisher-location":"Cham","reference-count":20,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030856328"},{"type":"electronic","value":"9783030856335"}],"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\/978-3-030-85633-5_6","type":"book-chapter","created":{"date-parts":[[2021,9,12]],"date-time":"2021-09-12T23:04:33Z","timestamp":1631487873000},"page":"91-107","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Interpretable Exact Linear Reductions via Positivity"],"prefix":"10.1007","author":[{"given":"Gleb","family":"Pogudin","sequence":"first","affiliation":[]},{"given":"Xingjian","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,9,13]]},"reference":[{"key":"6_CR1","doi-asserted-by":"crossref","unstructured":"Antoulas, A.: Approximation of Large-Scale Dynamical Systems. Advances in Design and Control, SIAM (2005)","DOI":"10.1137\/1.9780898718713"},{"key":"6_CR2","doi-asserted-by":"publisher","unstructured":"Barua, D., Faeder, J.R., Haugh, J.M.: A bipolar clamp mechanism for activation of Jak-family protein tyrosine kinases. PLoS Comput. Biol. 5(4), e1000364 (2009). https:\/\/doi.org\/10.1371\/journal.pcbi.1000364","DOI":"10.1371\/journal.pcbi.1000364"},{"key":"6_CR3","doi-asserted-by":"publisher","unstructured":"Borisov, N., Markevich, N., Hoek, J., Kholodenko, B.: Signaling through receptors and scaffolds: Independent interactions reduce combinatorial complexity. Biophys. J. 89(2), 951\u2013966 (2005). https:\/\/doi.org\/10.1529\/biophysj.105.060533","DOI":"10.1529\/biophysj.105.060533"},{"key":"6_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1007\/978-3-662-54580-5_19","volume-title":"Tools and Algorithms for the Construction and Analysis of Systems","author":"L Cardelli","year":"2017","unstructured":"Cardelli, L., Tribastone, M., Tschaikowski, M., Vandin, A.: ERODE: a tool for the evaluation and reduction of ordinary differential equations. In: Legay, A., Margaria, T. (eds.) TACAS 2017. LNCS, vol. 10206, pp. 310\u2013328. Springer, Heidelberg (2017). https:\/\/doi.org\/10.1007\/978-3-662-54580-5_19"},{"key":"6_CR5","doi-asserted-by":"publisher","unstructured":"Cardelli, L., Tribastone, M., Tschaikowski, M., Vandin, A.: Maximal aggregation of polynomial dynamical systems. Proc. Nat. Acad. Sci. 114(38), 10029\u201310034 (2017). https:\/\/doi.org\/10.1073\/pnas.1702697114","DOI":"10.1073\/pnas.1702697114"},{"key":"6_CR6","doi-asserted-by":"publisher","unstructured":"Conzelmann, H., Fey, D., Gilles, E.: Exact model reduction of combinatorial reaction networks. BMC Syst. Biol. 2(1), 78 (2008). https:\/\/doi.org\/10.1186\/1752-0509-2-78","DOI":"10.1186\/1752-0509-2-78"},{"key":"6_CR7","doi-asserted-by":"publisher","unstructured":"Edmonds, J.: Matroids and the greedy algorithm. Math. Program. 1(1), 127\u2013136 (1971), https:\/\/doi.org\/10.1007\/bf01584082","DOI":"10.1007\/bf01584082"},{"key":"6_CR8","doi-asserted-by":"publisher","unstructured":"Faeder, J.R., et al.: Investigation of early events in Fc$$\\epsilon $$RI-mediated signaling using a detailed mathematical model. J. Immunol. 170(7), 3769\u20133781 (2003). https:\/\/doi.org\/10.4049\/jimmunol.170.7.3769","DOI":"10.4049\/jimmunol.170.7.3769"},{"key":"6_CR9","doi-asserted-by":"publisher","unstructured":"Feret, J., Danos, V., Krivine, J., Harmer, R., Fontana, W.: Internal coarse-graining of molecular systems. Proc. Nat. Acad. Sci. 106(16), 6453\u20136458 (2009). https:\/\/doi.org\/10.1073\/pnas.0809908106","DOI":"10.1073\/pnas.0809908106"},{"key":"6_CR10","doi-asserted-by":"publisher","unstructured":"Fieker, C., Hart, W., Hofmann, T., Johansson, F.: Nemo\/Hecke: computer algebra and number theory packages for the Julia programming language. In: Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation, pp. 157\u2013164. ISSAC 2017, ACM, New York (2017). https:\/\/doi.org\/10.1145\/3087604.3087611","DOI":"10.1145\/3087604.3087611"},{"key":"6_CR11","doi-asserted-by":"publisher","unstructured":"Gawrilow, E., Joswig, M.: polymake: a framework for analyzing convex polytopes. In: Polytopes - Combinatorics and Computation, pp. 43\u201373. Birkh\u00e4user Basel (2000). https:\/\/doi.org\/10.1007\/978-3-0348-8438-9_2","DOI":"10.1007\/978-3-0348-8438-9_2"},{"key":"6_CR12","doi-asserted-by":"publisher","unstructured":"Gunawardena, J.: Multisite protein phosphorylation makes a good threshold but can be a poor switch. Proc. Nat. Acad. Sci. 102(41), 14617\u201314622 (2005). https:\/\/doi.org\/10.1073\/pnas.0507322102","DOI":"10.1073\/pnas.0507322102"},{"key":"6_CR13","doi-asserted-by":"publisher","unstructured":"Metzger, H., Eglite, S., Haleem-Smith, H., Reischl, I., Torigoe, C.: Quantitative aspects of signal transduction by the receptor with high affinity for IgE. Mol. Immunol. 38(16\u201318), 1207\u20131211 (2002). https:\/\/doi.org\/10.1016\/s0161-5890(02)00065-2","DOI":"10.1016\/s0161-5890(02)00065-2"},{"key":"6_CR14","doi-asserted-by":"publisher","unstructured":"Nadler, M.J., Matthews, S.A., Turner, H., Kinet, J.P.: Signal transduction by the high-affinity immunoglobulin E receptor Fc$$\\varepsilon $$RI: coupling form to function. Adv. Immunol. 76, 325\u2013355 (2001). https:\/\/doi.org\/10.1016\/S0065-2776(01)76022-1. https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0065277601760221","DOI":"10.1016\/S0065-2776(01)76022-1"},{"key":"6_CR15","doi-asserted-by":"publisher","unstructured":"Okino, M., Mavrovouniotis, M.: Simplification of mathematical models of chemical reaction systems. Chem. Rev. 2(98), 391\u2013408 (1998). https:\/\/doi.org\/10.1021\/cr950223l","DOI":"10.1021\/cr950223l"},{"key":"6_CR16","doi-asserted-by":"publisher","unstructured":"Ovchinnikov, A., Verona, I.P., Pogudin, G., Tribastone, M.: CLUE: exact maximal reduction of kinetic models by constrained lumping of differential equations. Bioinformatics (2021). https:\/\/doi.org\/10.1093\/bioinformatics\/btab010","DOI":"10.1093\/bioinformatics\/btab010"},{"key":"6_CR17","unstructured":"Schrijver, A.: Theory of Linear and Integer Programming. Wiley-Blackwell (1986)"},{"key":"6_CR18","doi-asserted-by":"publisher","unstructured":"Sneddon, M.W., Faeder, J.R., Emonet, T.: Efficient modeling, simulation and coarse-graining of biological complexity with NFsim. Nat. Methods 8(2), 177\u2013183 (2010). https:\/\/doi.org\/10.1038\/nmeth.1546","DOI":"10.1038\/nmeth.1546"},{"key":"6_CR19","doi-asserted-by":"publisher","unstructured":"Welsh, D.: Generalized versions of Hall\u2019s theorem. J. Comb. The. Ser. B 10(2), 95\u2013101 (1971). https:\/\/doi.org\/10.1016\/0095-8956(71)90069-4","DOI":"10.1016\/0095-8956(71)90069-4"},{"key":"6_CR20","doi-asserted-by":"publisher","unstructured":"Ziegler, G.M.: Lectures on Polytopes. Springer, New York (1995). https:\/\/doi.org\/10.1007\/978-1-4613-8431-1","DOI":"10.1007\/978-1-4613-8431-1"}],"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\/978-3-030-85633-5_6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,12]],"date-time":"2021-09-12T23:05:35Z","timestamp":1631487935000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-85633-5_6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030856328","9783030856335"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-85633-5_6","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":"13 September 2021","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":"Bordeaux","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"France","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":"22 September 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"24 September 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"19","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"cmsb2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/cmsb2021.labri.fr\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}