{"id":"https://openalex.org/W3170883316","doi":"https://doi.org/10.1137/21m1424743","title":"A Graphical Representation of Membrane Filtration","display_name":"A Graphical Representation of Membrane Filtration","publication_year":2022,"publication_date":"2022-05-31","ids":{"openalex":"https://openalex.org/W3170883316","doi":"https://doi.org/10.1137/21m1424743","mag":"3170883316"},"language":"en","primary_location":{"id":"doi:10.1137/21m1424743","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1424743","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2106.03915","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054774807","display_name":"Binan Gu","orcid":"https://orcid.org/0000-0003-3509-242X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Binan Gu","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-3509-242X","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026028890","display_name":"Lou Kondic","orcid":"https://orcid.org/0000-0001-6966-9851"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lou Kondic","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5029133213","display_name":"L. J. Cummings","orcid":"https://orcid.org/0000-0002-7783-2126"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Linda J. Cummings","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3694,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.52154195,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"82","issue":"3","first_page":"950","last_page":"975"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10197","display_name":"Membrane Separation Technologies","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10197","display_name":"Membrane Separation Technologies","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11582","display_name":"Nanopore and Nanochannel Transport Studies","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12074","display_name":"Membrane-based Ion Separation Techniques","score":0.9520000219345093,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tortuosity","display_name":"Tortuosity","score":0.8773313164710999},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5716941952705383},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.5382089614868164},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.4805174767971039},{"id":"https://openalex.org/keywords/membrane","display_name":"Membrane","score":0.46227842569351196},{"id":"https://openalex.org/keywords/sink","display_name":"Sink (geography)","score":0.45074066519737244},{"id":"https://openalex.org/keywords/filtration","display_name":"Filtration (mathematics)","score":0.436064749956131},{"id":"https://openalex.org/keywords/permeation","display_name":"Permeation","score":0.42668408155441284},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.4145951569080353},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.40443968772888184},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35629576444625854},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.32294583320617676},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.2801109254360199},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2686255872249603},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11181333661079407},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.10811176896095276}],"concepts":[{"id":"https://openalex.org/C185250623","wikidata":"https://www.wikidata.org/wiki/Q2301683","display_name":"Tortuosity","level":3,"score":0.8773313164710999},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5716941952705383},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.5382089614868164},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.4805174767971039},{"id":"https://openalex.org/C41625074","wikidata":"https://www.wikidata.org/wiki/Q176088","display_name":"Membrane","level":2,"score":0.46227842569351196},{"id":"https://openalex.org/C143050476","wikidata":"https://www.wikidata.org/wiki/Q194502","display_name":"Sink (geography)","level":2,"score":0.45074066519737244},{"id":"https://openalex.org/C128489963","wikidata":"https://www.wikidata.org/wiki/Q1187724","display_name":"Filtration (mathematics)","level":2,"score":0.436064749956131},{"id":"https://openalex.org/C50670333","wikidata":"https://www.wikidata.org/wiki/Q907651","display_name":"Permeation","level":3,"score":0.42668408155441284},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.4145951569080353},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.40443968772888184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35629576444625854},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.32294583320617676},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2801109254360199},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2686255872249603},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11181333661079407},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.10811176896095276},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/21m1424743","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1424743","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:arXiv.org:2106.03915","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2106.03915","pdf_url":"https://arxiv.org/pdf/2106.03915","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2106.03915","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2106.03915","pdf_url":"https://arxiv.org/pdf/2106.03915","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Life in Land","score":0.5,"id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G2369154241","display_name":"GOALI:   Predicting performance and fouling of membrane filters","funder_award_id":"1615719","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3170883316.pdf","grobid_xml":"https://content.openalex.org/works/W3170883316.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W310261224","https://openalex.org/W630423399","https://openalex.org/W1965265882","https://openalex.org/W1979170109","https://openalex.org/W1990232846","https://openalex.org/W2017350456","https://openalex.org/W2021008557","https://openalex.org/W2024835100","https://openalex.org/W2102427951","https://openalex.org/W2122416083","https://openalex.org/W2143151266","https://openalex.org/W2144603467","https://openalex.org/W2156486088","https://openalex.org/W2256212172","https://openalex.org/W2295357942","https://openalex.org/W2484920322","https://openalex.org/W2735536372","https://openalex.org/W2780079421","https://openalex.org/W2808478235","https://openalex.org/W2892266802","https://openalex.org/W2898241721","https://openalex.org/W2989803313","https://openalex.org/W3083759670","https://openalex.org/W3099328151","https://openalex.org/W3099502319"],"related_works":["https://openalex.org/W3101152546","https://openalex.org/W2015139878","https://openalex.org/W2497324722","https://openalex.org/W4242461735","https://openalex.org/W2050474108","https://openalex.org/W3189172001","https://openalex.org/W4200526323","https://openalex.org/W2771232776","https://openalex.org/W3035278006","https://openalex.org/W2909739621"],"abstract_inverted_index":{"We":[0,32,100,135],"analyze":[1],"the":[2,21,30,35,55,98,102,126,133,145,181,186],"performance":[3],"of":[4,18,38,51,74,93,104,115,117,125,132,153,169,175],"membrane":[5],"filters":[6],"represented":[7],"by":[8,57],"pore":[9,68,83,127],"networks":[10],"using":[11],"two":[12],"criteria:":[13],"(1)":[14,112],"total":[15,122,138],"volumetric":[16,78,139],"throughput":[17,140],"filtrate":[19,187],"over":[20],"filter":[22,110],"lifetime":[23],"and":[24,45,49,76,129],"(2)":[25,120],"accumulated":[26,182],"foulant":[27,77,183],"concentration":[28,184],"in":[29,185],"filtrate.":[31],"first":[33],"formulate":[34],"governing":[36],"equations":[37,96],"fluid":[39,75],"flow":[40,79],"on":[41,66,97,109,144,150],"a":[42,63,88,91,161,173],"general":[43],"network,":[44,128],"we":[46],"model":[47],"transport":[48],"adsorption":[50],"particles":[52],"(foulants)":[53],"within":[54],"network":[56,107,177],"imposing":[58],"an":[59,189],"advection":[60],"equation":[61],"with":[62],"sink":[64],"term":[65],"each":[67,82,118],"(edge)":[69],"as":[70,72,192],"well":[71],"conservation":[73],"rates":[80],"at":[81],"junction":[84],"(network":[85],"vertex).":[86],"Such":[87],"setup":[89],"yields":[90],"system":[92],"partial":[94],"differential":[95],"network.":[99,134],"study":[101],"influence":[103],"three":[105],"geometric":[106],"parameters":[108],"performance:":[111],"average":[113,151],"number":[114,152],"neighbors":[116],"vertex,":[119],"initial":[121,146],"void":[123,147],"volume":[124,148],"(3)":[130],"tortuosity":[131,193],"find":[136],"that":[137],"depends":[141],"more":[142],"strongly":[143],"than":[149],"neighbors.":[154],"Tortuosity,":[155],"however,":[156],"turns":[157],"out":[158],"to":[159,165],"be":[160],"universal":[162],"parameter,":[163],"leading":[164],"almost":[166],"perfect":[167],"collapse":[168],"all":[170],"results":[171],"for":[172],"variety":[174],"different":[176],"architectures.":[178],"In":[179],"particular,":[180],"shows":[188],"exponential":[190],"decay":[191],"increases.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-29T07:29:34.045763","created_date":"2025-10-10T00:00:00"}