{"id":"https://openalex.org/W2074944817","doi":"https://doi.org/10.1137/100815773","title":"Stable Length Distributions in Colocalized Polymerizing and Depolymerizing Protein Filaments","display_name":"Stable Length Distributions in Colocalized Polymerizing and Depolymerizing Protein Filaments","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2074944817","doi":"https://doi.org/10.1137/100815773","mag":"2074944817"},"language":"en","primary_location":{"id":"doi:10.1137/100815773","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100815773","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017511549","display_name":"Heinrich Freist\u00fchler","orcid":"https://orcid.org/0000-0002-0741-886X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Heinrich Freist\u00fchler","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032801255","display_name":"Christian Schmeiser","orcid":"https://orcid.org/0000-0002-2066-0087"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christian Schmeiser","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5015892154","display_name":"Nikolaos Sfakianakis","orcid":"https://orcid.org/0000-0002-2675-6338"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nikolaos Sfakianakis","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017511549"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2536,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.50367107,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"72","issue":"5","first_page":"1428","last_page":"1448"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10379","display_name":"Cellular Mechanics and Interactions","score":0.977400004863739,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7132818698883057},{"id":"https://openalex.org/keywords/depolymerization","display_name":"Depolymerization","score":0.6449764370918274},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6332228779792786},{"id":"https://openalex.org/keywords/nucleation","display_name":"Nucleation","score":0.5623177886009216},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5296304821968079},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42252302169799805},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.4218602180480957},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.413643479347229},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.41116052865982056},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37509533762931824},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.18845942616462708},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.18146979808807373},{"id":"https://openalex.org/keywords/polymer-chemistry","display_name":"Polymer chemistry","score":0.10630688071250916},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09289607405662537}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7132818698883057},{"id":"https://openalex.org/C49852136","wikidata":"https://www.wikidata.org/wiki/Q906487","display_name":"Depolymerization","level":2,"score":0.6449764370918274},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6332228779792786},{"id":"https://openalex.org/C61048295","wikidata":"https://www.wikidata.org/wiki/Q909022","display_name":"Nucleation","level":2,"score":0.5623177886009216},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5296304821968079},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42252302169799805},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.4218602180480957},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.413643479347229},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.41116052865982056},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37509533762931824},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.18845942616462708},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.18146979808807373},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.10630688071250916},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09289607405662537}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/100815773","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100815773","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1555627060","https://openalex.org/W1706114343","https://openalex.org/W1968399440","https://openalex.org/W1995837672","https://openalex.org/W1999205278","https://openalex.org/W2011669849","https://openalex.org/W2038634187","https://openalex.org/W2041816801","https://openalex.org/W2055668916","https://openalex.org/W2063785958","https://openalex.org/W2069545979","https://openalex.org/W2074008387","https://openalex.org/W2075610411","https://openalex.org/W2092043901","https://openalex.org/W2113395636","https://openalex.org/W2123534373","https://openalex.org/W2126338440","https://openalex.org/W2158180349","https://openalex.org/W2168586729","https://openalex.org/W3196354155"],"related_works":["https://openalex.org/W2368934058","https://openalex.org/W2481732814","https://openalex.org/W2350985461","https://openalex.org/W4297963689","https://openalex.org/W2018474500","https://openalex.org/W2045030012","https://openalex.org/W2061644656","https://openalex.org/W2038478413","https://openalex.org/W2948931127","https://openalex.org/W4288335771"],"abstract_inverted_index":{"A":[0],"model":[1,63],"for":[2,54,72],"the":[3,6,51,55,65,105,108],"dynamics":[4],"of":[5,12,50,58,67,90],"length":[7],"distribution":[8],"in":[9],"colocalized":[10],"groups":[11],"polar":[13],"polymer":[14],"filaments":[15],"is":[16,29,43,98],"presented.":[17],"It":[18],"considers":[19],"nucleation,":[20],"polymerization":[21],"at":[22,26],"plus-ends,":[23],"and":[24,28,88],"depolymerization":[25,60],"minus-ends":[27],"derived":[30],"as":[31],"a":[32,37,44,59,73,81,95],"continuous":[33],"macroscopic":[34],"limit":[35],"from":[36],"discrete":[38],"description.":[39],"Its":[40],"main":[41],"feature":[42],"nonlinear":[45,75],"coupling":[46],"due":[47],"to":[48,80,94],"competition":[49],"depolymerizing":[52],"ends":[53],"limited":[56],"supply":[57],"agent.":[61],"The":[62],"takes":[64],"form":[66],"an":[68],"initial-boundary":[69],"value":[70],"problem":[71],"one-dimensional":[74],"hyperbolic":[76],"conservation":[77],"law,":[78],"subject":[79],"nonlinear,":[82],"nonlocal":[83],"boundary":[84,110],"condition.":[85],"Besides":[86],"existence":[87],"uniqueness":[89],"entropy":[91,117],"solutions,":[92],"convergence":[93],"steady":[96],"state":[97],"proven.":[99],"Technical":[100],"difficulties":[101],"are":[102,112],"caused":[103],"by":[104,116],"fact":[106],"that":[107],"prescribed":[109],"data":[111],"not":[113],"always":[114],"assumed":[115],"solutions.":[118]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
