{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,9]],"date-time":"2023-10-09T17:30:50Z","timestamp":1696872650814},"reference-count":71,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,12,20]],"date-time":"2006-12-20T00:00:00Z","timestamp":1166572800000},"content-version":"vor","delay-in-days":49,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Macromolecular Symposia"],"published-print":{"date-parts":[[2006,11]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Recent developments of a method based upon population balances of generating functions of polymer chain length distributions (CLD) are presented. The calculation of the CLD and how to take into account chain length dependent reactivity are discussed. Prediction of polymer properties is also possible but only easily done for the average molecular radius of gyration; some results are presented for a radical polymerization including transfer to polymer and propagation with terminal double bonds.<\/jats:p>","DOI":"10.1002\/masy.200651108","type":"journal-article","created":{"date-parts":[[2006,12,20]],"date-time":"2006-12-20T10:20:20Z","timestamp":1166610020000},"page":"72-82","source":"Crossref","is-referenced-by-count":13,"title":["Kinetic Modeling of Non\u2010Linear Polymerization"],"prefix":"10.1002","volume":"243","author":[{"given":"M\u00e1rio Rui P. F. N.","family":"Costa","sequence":"first","affiliation":[]},{"given":"Rolando C. S.","family":"Dias","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,12,20]]},"reference":[{"key":"e_1_2_1_1_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.1723803"},{"key":"e_1_2_1_2_2","first-page":"585","volume":"17","author":"v Smoluchowski M.","year":"1916","journal-title":"Phys. Z."},{"key":"e_1_2_1_3_2","first-page":"129","volume":"92","author":"v Smoluchowski M.","year":"1917","journal-title":"Z. Chem. Phys."},{"key":"e_1_2_1_4_2","volume-title":"Principles of Polymer Chemistry","author":"Flory P. J.","year":"1993"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-51866-9"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1962.0136"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100034666"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1021\/ma60050a003"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1021\/ma60050a004"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1002\/masy.200450201"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1002\/1521-3900(200109)174:1<307::AID-MASY307>3.0.CO;2-S"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.progpolymsci.2004.02.001"},{"key":"e_1_2_1_13_2","volume-title":"Markov Chains and Monte Carlo Calculations in Polymer Science","author":"Lowry G. G.","year":"1970"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1021\/j100540a008"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0009-2509(98)00133-X"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1021\/ma00056a039"},{"key":"e_1_2_1_17_2","doi-asserted-by":"publisher","DOI":"10.1021\/ma00072a021"},{"key":"e_1_2_1_18_2","doi-asserted-by":"publisher","DOI":"10.1021\/ma034845h"},{"key":"e_1_2_1_19_2","doi-asserted-by":"publisher","DOI":"10.1080\/10543414.1996.10744468"},{"key":"e_1_2_1_20_2","doi-asserted-by":"publisher","DOI":"10.1039\/tf9474300648"},{"key":"e_1_2_1_21_2","doi-asserted-by":"publisher","DOI":"10.1021\/i160007a011"},{"key":"e_1_2_1_22_2","doi-asserted-by":"publisher","DOI":"10.1021\/i160012a001"},{"key":"e_1_2_1_23_2","doi-asserted-by":"publisher","DOI":"10.1080\/15321797208068168"},{"key":"e_1_2_1_24_2","first-page":"2035","volume":"13","author":"Kuchanov S. I.","year":"1971","journal-title":"Vysokomol. Soyed."},{"key":"e_1_2_1_25_2","first-page":"97","volume-title":"Methods of Mathematical Physics, Vol. II\u2010Partial Differential Equations","author":"Courant R.","year":"1962"},{"key":"e_1_2_1_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/0009-2509(79)87011-6"},{"key":"e_1_2_1_27_2","doi-asserted-by":"publisher","DOI":"10.1016\/0009-2509(91)80010-V"},{"key":"e_1_2_1_28_2","doi-asserted-by":"publisher","DOI":"10.1002\/mats.1996.040050303"},{"key":"e_1_2_1_29_2","doi-asserted-by":"publisher","DOI":"10.1021\/ma00087a015"},{"key":"e_1_2_1_30_2","doi-asserted-by":"publisher","DOI":"10.1002\/1521-3919(20020601)11:5<533::AID-MATS533>3.0.CO;2-O"},{"key":"e_1_2_1_31_2","first-page":"105","volume-title":"3rd International Workshop on Polymer Reaction Engineering","author":"Ray W. H.","year":"1989"},{"key":"e_1_2_1_32_2","unstructured":"D. J.Arriola \u201cModeling of Addition Polymerization Systems\u201d Ph. D. Thesis Univ. of Wisconsin 1989."},{"key":"e_1_2_1_33_2","doi-asserted-by":"publisher","DOI":"10.1016\/0009-2509(94)80050-2"},{"key":"e_1_2_1_34_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ces.2004.07.125"},{"key":"e_1_2_1_35_2","first-page":"566","volume-title":"Solving Ordinary Differential Equations II","author":"Hairer E.","year":"2002"},{"key":"e_1_2_1_36_2","doi-asserted-by":"publisher","DOI":"10.1002\/mats.200350011"},{"key":"e_1_2_1_37_2","doi-asserted-by":"publisher","DOI":"10.1145\/383738.383742"},{"key":"e_1_2_1_38_2","doi-asserted-by":"publisher","DOI":"10.1080\/10543414.1992.10744443"},{"key":"e_1_2_1_39_2","doi-asserted-by":"publisher","DOI":"10.1021\/ma035030b"},{"key":"e_1_2_1_40_2","doi-asserted-by":"publisher","DOI":"10.1002\/mats.200400086"},{"key":"e_1_2_1_41_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.polymer.2005.04.101"},{"key":"e_1_2_1_42_2","doi-asserted-by":"publisher","DOI":"10.1002\/mats.200350027"},{"key":"e_1_2_1_43_2","first-page":"415","volume-title":"8th International Workshop on Polymer Reaction Engineering","author":"Dias R. C. S.","year":"2004"},{"key":"e_1_2_1_44_2","doi-asserted-by":"publisher","DOI":"10.1016\/0098-1354(86)87010-7"},{"key":"e_1_2_1_45_2","doi-asserted-by":"publisher","DOI":"10.1021\/ie00075a010"},{"key":"e_1_2_1_46_2","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6377(92)90050-D"},{"key":"e_1_2_1_47_2","doi-asserted-by":"publisher","DOI":"10.1080\/10543414.1996.10744477"},{"key":"e_1_2_1_48_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0032-3861(02)00034-4"},{"key":"e_1_2_1_49_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0032-3861(02)00035-6"},{"key":"e_1_2_1_50_2","doi-asserted-by":"publisher","DOI":"10.1090\/qam\/82734"},{"key":"e_1_2_1_51_2","doi-asserted-by":"publisher","DOI":"10.1093\/comjnl\/17.4.371"},{"key":"e_1_2_1_52_2","doi-asserted-by":"publisher","DOI":"10.1145\/1271.319416"},{"key":"e_1_2_1_53_2","doi-asserted-by":"publisher","DOI":"10.1145\/321341.321351"},{"key":"e_1_2_1_54_2","unstructured":"M. R. P. F. N.Costa R. C. S.Dias \u201cThe combined use of orthogonal Laguerre expansions and numerical evaluation of generating functions for computing polymer chain length distributions\u201d poster presented to PRE VI (Halifax) 2006."},{"key":"e_1_2_1_55_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.1747547"},{"key":"e_1_2_1_56_2","volume-title":"The Chemistry of Free Radical Polymerization","author":"Moad G.","year":"2006"},{"key":"e_1_2_1_57_2","first-page":"1768","volume":"37","author":"Khokhlov A. R.","year":"1981","journal-title":"Makromol. Chem. Rapid Commun."},{"key":"e_1_2_1_58_2","doi-asserted-by":"publisher","DOI":"10.2307\/2371307"},{"key":"e_1_2_1_59_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.1726276"},{"key":"e_1_2_1_60_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1966.0224"},{"key":"e_1_2_1_61_2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-12030-0_1"},{"key":"e_1_2_1_62_2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-49780-3_3"},{"key":"e_1_2_1_63_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023008401138"},{"key":"e_1_2_1_64_2","doi-asserted-by":"publisher","DOI":"10.1002\/9780470141212.ch3"},{"key":"e_1_2_1_65_2","doi-asserted-by":"publisher","DOI":"10.1002\/mats.1996.040050110"},{"key":"e_1_2_1_66_2","doi-asserted-by":"publisher","DOI":"10.1002\/1099-0488(20000801)38:15<2009::AID-POLB60>3.0.CO;2-4"},{"key":"e_1_2_1_67_2","volume":"048","author":"Tobita H.","year":"2002","journal-title":"E\u2010Polym."},{"key":"e_1_2_1_68_2","first-page":"855","volume":"10","author":"Iedema P. D.","year":"2006","journal-title":"Macromolecules"},{"key":"e_1_2_1_69_2","first-page":"197","volume-title":"6th International Workshop on Polymer Reaction Engineering","author":"Costa M. R. P. F. N.","year":"1998"},{"key":"e_1_2_1_70_2","doi-asserted-by":"publisher","DOI":"10.1002\/pi.4980020203"},{"key":"e_1_2_1_71_2","unstructured":"M. R. P. F. N.Costa R. C. S.Dias \u201cPrediction of Mean Square Radius of Gyration of Tree\u2010Like Polymers by a General Kinetic Approach\u201d (in preparation)."}],"container-title":["Macromolecular Symposia"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmasy.200651108","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/masy.200651108","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,12]],"date-time":"2023-09-12T14:10:24Z","timestamp":1694527824000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/masy.200651108"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,11]]},"references-count":71,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,11]]}},"alternative-id":["10.1002\/masy.200651108"],"URL":"https:\/\/doi.org\/10.1002\/masy.200651108","archive":["Portico"],"relation":{},"ISSN":["1022-1360","1521-3900"],"issn-type":[{"value":"1022-1360","type":"print"},{"value":"1521-3900","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,11]]}}}