{"id":"https://openalex.org/W1969124891","doi":"https://doi.org/10.1137/110855296","title":"A Dynamic Model of Polyelectrolyte Gels","display_name":"A Dynamic Model of Polyelectrolyte Gels","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1969124891","doi":"https://doi.org/10.1137/110855296","mag":"1969124891"},"language":"en","primary_location":{"id":"doi:10.1137/110855296","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110855296","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/A5057292858","display_name":"Yoichiro Mori","orcid":"https://orcid.org/0000-0002-4851-5148"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yoichiro Mori","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100353673","display_name":"Hao Chen","orcid":"https://orcid.org/0009-0001-6480-7976"},"institutions":[{"id":"https://openalex.org/I4210101327","display_name":"Twin Cities Orthopedics","ror":"https://ror.org/01en4s460","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210101327"]},{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haoran Chen","raw_affiliation_strings":["University of Minnesota Twin Cities"],"affiliations":[{"raw_affiliation_string":"University of Minnesota Twin Cities","institution_ids":["https://openalex.org/I4210101327","https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004796232","display_name":"Catherine A. Micek","orcid":null},"institutions":[{"id":"https://openalex.org/I119916105","display_name":"Augsburg University","ror":"https://ror.org/057ewhh68","country_code":"US","type":"education","lineage":["https://openalex.org/I119916105"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Catherine Micek","raw_affiliation_strings":["Augsburg College"],"affiliations":[{"raw_affiliation_string":"Augsburg College","institution_ids":["https://openalex.org/I119916105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111382525","display_name":"Maria\u2010Carme Calderer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maria-Carme Calderer","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057292858"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0372,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.85641736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"73","issue":"1","first_page":"104","last_page":"133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10343","display_name":"Hydrogels: synthesis, properties, applications","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1313","display_name":"Molecular Medicine"},"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"}},"topics":[{"id":"https://openalex.org/T10343","display_name":"Hydrogels: synthesis, properties, applications","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1313","display_name":"Molecular Medicine"},"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"}},{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12274","display_name":"Electrostatics and Colloid Interactions","score":0.9314000010490417,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polyelectrolyte","display_name":"Polyelectrolyte","score":0.5536061525344849},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4702531099319458},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4682294726371765},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.42499545216560364},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3904940187931061},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3700273036956787},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2867392301559448},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19298946857452393},{"id":"https://openalex.org/keywords/polymer","display_name":"Polymer","score":0.1688384711742401}],"concepts":[{"id":"https://openalex.org/C153356533","wikidata":"https://www.wikidata.org/wiki/Q901016","display_name":"Polyelectrolyte","level":3,"score":0.5536061525344849},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4702531099319458},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4682294726371765},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.42499545216560364},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3904940187931061},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3700273036956787},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2867392301559448},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19298946857452393},{"id":"https://openalex.org/C521977710","wikidata":"https://www.wikidata.org/wiki/Q81163","display_name":"Polymer","level":2,"score":0.1688384711742401},{"id":"https://openalex.org/C46141821","wikidata":"https://www.wikidata.org/wiki/Q209402","display_name":"Nuclear magnetic resonance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/110855296","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110855296","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.398.7415","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.398.7415","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.umn.edu/~ymori/docs/publications/siam_gel_final2.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W581938152","https://openalex.org/W613643702","https://openalex.org/W1498248067","https://openalex.org/W1505352099","https://openalex.org/W1508747425","https://openalex.org/W1508861003","https://openalex.org/W1547666981","https://openalex.org/W1582121585","https://openalex.org/W1585325426","https://openalex.org/W1964242565","https://openalex.org/W1966415764","https://openalex.org/W1968324756","https://openalex.org/W1972219314","https://openalex.org/W1977709005","https://openalex.org/W1978086391","https://openalex.org/W1983535968","https://openalex.org/W1999611652","https://openalex.org/W2003034707","https://openalex.org/W2004625142","https://openalex.org/W2005629845","https://openalex.org/W2009686935","https://openalex.org/W2010872619","https://openalex.org/W2014711188","https://openalex.org/W2040648700","https://openalex.org/W2046238605","https://openalex.org/W2048048414","https://openalex.org/W2048759278","https://openalex.org/W2049602523","https://openalex.org/W2050624061","https://openalex.org/W2052784954","https://openalex.org/W2056603397","https://openalex.org/W2061772705","https://openalex.org/W2070706569","https://openalex.org/W2073896126","https://openalex.org/W2076258454","https://openalex.org/W2079960550","https://openalex.org/W2088798589","https://openalex.org/W2100509399","https://openalex.org/W2106348311","https://openalex.org/W2113636744","https://openalex.org/W2133235008","https://openalex.org/W2141377498","https://openalex.org/W2146768234","https://openalex.org/W2154247221","https://openalex.org/W2238845630","https://openalex.org/W2317261004","https://openalex.org/W2494496267","https://openalex.org/W2963801801","https://openalex.org/W3039083618","https://openalex.org/W4236332821","https://openalex.org/W4236801281","https://openalex.org/W4249179329"],"related_works":["https://openalex.org/W2054874039","https://openalex.org/W2010159604","https://openalex.org/W2103828438","https://openalex.org/W2019939610","https://openalex.org/W2035357936","https://openalex.org/W1976265868","https://openalex.org/W2008175319","https://openalex.org/W2064998971","https://openalex.org/W2027740655","https://openalex.org/W2965199338"],"abstract_inverted_index":{"We":[0,14,154],"derive":[1],"a":[2,23,33,55,100,141,171],"model":[3,52,136],"of":[4,11,32,54,57,67,73,105,134,152,173],"the":[5,17,38,41,46,68,74,76,80,85,89,93,115,123,149,162,175],"coupled":[6],"mechanical":[7],"and":[8,29,37,44,63,70,84,102,110],"electrochemical":[9],"effects":[10],"polyelectrolyte":[12],"gels.":[13],"assume":[15],"that":[16,138,161],"gel,":[18,75],"which":[19],"is":[20,26,137],"immersed":[21],"in":[22,79,128,146,178],"fluid":[24,71,82],"domain,":[25,83],"an":[27],"immiscible":[28],"incompressible":[30],"mixture":[31],"solid":[34],"polymeric":[35],"component":[36],"fluid.":[39],"As":[40],"gel":[42],"swells":[43],"deswells,":[45],"gel-fluid":[47,117],"interface":[48],"can":[49],"move.":[50],"Our":[51,119],"consists":[53],"system":[56],"partial":[58],"differential":[59],"equations":[60,78,87],"for":[61,88,166],"mass":[62,109],"linear":[64,111],"momentum":[65,112],"balance":[66,113],"polymer":[69],"components":[72],"Navier--Stokes":[77],"surrounding":[81],"Poisson--Nernst--Planck":[86],"ionic":[90],"concentrations":[91],"on":[92],"whole":[94],"domain.":[95],"These":[96],"are":[97],"supplemented":[98],"by":[99],"novel":[101],"general":[103],"class":[104],"boundary":[106,120,125,158],"conditions":[107,121,126],"expressing":[108],"across":[114],"moving":[116],"interface.":[118],"include":[122],"permeability":[124],"proposed":[127],"earlier":[129],"studies.":[130],"A":[131],"salient":[132],"feature":[133],"our":[135,179],"it":[139],"satisfies":[140],"free":[142],"energy":[143],"dissipation":[144],"identity,":[145],"accordance":[147],"with":[148],"second":[150],"law":[151],"thermodynamics.":[153],"also":[155],"show,":[156],"using":[157],"layer":[159],"analysis,":[160],"well-established":[163],"Donnan":[164],"condition":[165],"equilibrium":[167],"arises":[168],"naturally":[169],"as":[170],"consequence":[172],"taking":[174],"electroneutral":[176],"limit":[177],"model.":[180]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
