{"id":"https://openalex.org/W4408376880","doi":"https://doi.org/10.3390/e27030293","title":"Modeling Diffusion of Elongated Particles Through a Narrowing Channel","display_name":"Modeling Diffusion of Elongated Particles Through a Narrowing Channel","publication_year":2025,"publication_date":"2025-03-12","ids":{"openalex":"https://openalex.org/W4408376880","doi":"https://doi.org/10.3390/e27030293","pmid":"https://pubmed.ncbi.nlm.nih.gov/40149217"},"language":"en","primary_location":{"id":"doi:10.3390/e27030293","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27030293","pdf_url":"https://www.mdpi.com/1099-4300/27/3/293/pdf?version=1741760495","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/27/3/293/pdf?version=1741760495","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023745392","display_name":"Anna Strzelewicz","orcid":"https://orcid.org/0000-0002-1835-8540"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Anna Strzelewicz","raw_affiliation_strings":["Faculty of Chemistry, Silesian University of Technology, 44-100 Gliwice, Poland"],"raw_orcid":"https://orcid.org/0000-0002-1835-8540","affiliations":[{"raw_affiliation_string":"Faculty of Chemistry, Silesian University of Technology, 44-100 Gliwice, Poland","institution_ids":["https://openalex.org/I119004910"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083177574","display_name":"Micha\u0142 Cie\u015bla","orcid":"https://orcid.org/0000-0002-1191-0718"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Micha\u0142 Cie\u015bla","raw_affiliation_strings":["Institute of Theoretical Physics, and Mark Kac Center for Complex Systems Research, Jagiellonian University, 30-348 Krak\u00f3w, Poland"],"raw_orcid":"https://orcid.org/0000-0002-1191-0718","affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics, and Mark Kac Center for Complex Systems Research, Jagiellonian University, 30-348 Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079744597","display_name":"Bart\u0142omiej Dybiec","orcid":"https://orcid.org/0000-0002-6540-3906"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Bart\u0142omiej Dybiec","raw_affiliation_strings":["Institute of Theoretical Physics, and Mark Kac Center for Complex Systems Research, Jagiellonian University, 30-348 Krak\u00f3w, Poland"],"raw_orcid":"https://orcid.org/0000-0002-6540-3906","affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics, and Mark Kac Center for Complex Systems Research, Jagiellonian University, 30-348 Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045532339","display_name":"Monika Krasowska","orcid":"https://orcid.org/0000-0002-1439-9142"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Monika Krasowska","raw_affiliation_strings":["Faculty of Chemistry, Silesian University of Technology, 44-100 Gliwice, Poland"],"raw_orcid":"https://orcid.org/0000-0002-1439-9142","affiliations":[{"raw_affiliation_string":"Faculty of Chemistry, Silesian University of Technology, 44-100 Gliwice, Poland","institution_ids":["https://openalex.org/I119004910"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083177574"],"corresponding_institution_ids":["https://openalex.org/I126596746"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.0618,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73906412,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"27","issue":"3","first_page":"293","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11582","display_name":"Nanopore and Nanochannel Transport Studies","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11582","display_name":"Nanopore and Nanochannel Transport Studies","score":0.9998999834060669,"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/T12274","display_name":"Electrostatics and Colloid Interactions","score":0.9919999837875366,"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"}},{"id":"https://openalex.org/T11277","display_name":"Thermal properties of materials","score":0.9735999703407288,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mean-squared-displacement","display_name":"Mean squared displacement","score":0.7134910821914673},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6970278024673462},{"id":"https://openalex.org/keywords/anomalous-diffusion","display_name":"Anomalous diffusion","score":0.6611742377281189},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.6285434365272522},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.5835239291191101},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.5100134611129761},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.5096778869628906},{"id":"https://openalex.org/keywords/conical-surface","display_name":"Conical surface","score":0.4915107190608978},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.4560754597187042},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.44718611240386963},{"id":"https://openalex.org/keywords/chemical-physics","display_name":"Chemical physics","score":0.41916564106941223},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.41652798652648926},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.40722334384918213},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.22863078117370605},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22466203570365906},{"id":"https://openalex.org/keywords/molecular-dynamics","display_name":"Molecular dynamics","score":0.1418323516845703},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.13900598883628845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.07609355449676514},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.0735781192779541}],"concepts":[{"id":"https://openalex.org/C187128312","wikidata":"https://www.wikidata.org/wiki/Q1565055","display_name":"Mean squared displacement","level":3,"score":0.7134910821914673},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6970278024673462},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.6611742377281189},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6285434365272522},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5835239291191101},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.5100134611129761},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5096778869628906},{"id":"https://openalex.org/C124961601","wikidata":"https://www.wikidata.org/wiki/Q2518149","display_name":"Conical surface","level":2,"score":0.4915107190608978},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.4560754597187042},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.44718611240386963},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.41916564106941223},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.41652798652648926},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.40722334384918213},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.22863078117370605},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22466203570365906},{"id":"https://openalex.org/C59593255","wikidata":"https://www.wikidata.org/wiki/Q901663","display_name":"Molecular dynamics","level":2,"score":0.1418323516845703},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.13900598883628845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.07609355449676514},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0735781192779541},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e27030293","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27030293","pdf_url":"https://www.mdpi.com/1099-4300/27/3/293/pdf?version=1741760495","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:40149217","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40149217","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:ruj.uj.edu.pl:item/550325","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/handle/item/550325","pdf_url":"http://ruj.uj.edu.pl/bitstreams/6a00c964-af5c-47b0-b420-8bebd8ffcfb7/download","source":{"id":"https://openalex.org/S4306401249","display_name":"Jagiellonian University Repository (Jagiellonian University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126596746","host_organization_name":"Jagiellonian University","host_organization_lineage":["https://openalex.org/I126596746"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:b200dc1c21504a49ad6b84da02ca580c","is_oa":true,"landing_page_url":"https://doaj.org/article/b200dc1c21504a49ad6b84da02ca580c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 27, Iss 3, p 293 (2025)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:11941187","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11941187","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e27030293","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27030293","pdf_url":"https://www.mdpi.com/1099-4300/27/3/293/pdf?version=1741760495","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life in Land","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G1477450812","display_name":null,"funder_award_id":"PPI/APM/2018/1/00004/U/001","funder_id":"https://openalex.org/F4320328499","funder_display_name":"Narodowa Agencja Wymiany Akademickiej"},{"id":"https://openalex.org/G2684957422","display_name":null,"funder_award_id":"PLG/2024/016969","funder_id":"https://openalex.org/F4320326815","funder_display_name":"Infrastruktura PL-Grid"},{"id":"https://openalex.org/G5240640436","display_name":null,"funder_award_id":"PPI/APM/2018/1/00004","funder_id":"https://openalex.org/F4320328499","funder_display_name":"Narodowa Agencja Wymiany Akademickiej"},{"id":"https://openalex.org/G759377033","display_name":null,"funder_award_id":"GB76-1","funder_id":"https://openalex.org/F4320323873","funder_display_name":"Uniwersytet Warszawski"}],"funders":[{"id":"https://openalex.org/F4320323873","display_name":"Uniwersytet Warszawski","ror":"https://ror.org/039bjqg32"},{"id":"https://openalex.org/F4320326815","display_name":"Infrastruktura PL-Grid","ror":null},{"id":"https://openalex.org/F4320328499","display_name":"Narodowa Agencja Wymiany Akademickiej","ror":null},{"id":"https://openalex.org/F4320337160","display_name":"Academic Computer Centre Cyfronet, AGH University of Science and Technology","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408376880.pdf"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1616975058","https://openalex.org/W1655997880","https://openalex.org/W1963642453","https://openalex.org/W1966226952","https://openalex.org/W1972720178","https://openalex.org/W1977360274","https://openalex.org/W1978514520","https://openalex.org/W1980184383","https://openalex.org/W1991108799","https://openalex.org/W1993285032","https://openalex.org/W1995447159","https://openalex.org/W2006135398","https://openalex.org/W2009886994","https://openalex.org/W2010136543","https://openalex.org/W2020445568","https://openalex.org/W2034461695","https://openalex.org/W2041338823","https://openalex.org/W2048263330","https://openalex.org/W2054386976","https://openalex.org/W2063625005","https://openalex.org/W2068981156","https://openalex.org/W2072458895","https://openalex.org/W2090924278","https://openalex.org/W2090966203","https://openalex.org/W2111271983","https://openalex.org/W2112155250","https://openalex.org/W2128577635","https://openalex.org/W2145137020","https://openalex.org/W2148445965","https://openalex.org/W2156787070","https://openalex.org/W2167441750","https://openalex.org/W2313228137","https://openalex.org/W2626179601","https://openalex.org/W2764266002","https://openalex.org/W2806349432","https://openalex.org/W2962865990","https://openalex.org/W3100302985","https://openalex.org/W3106121752","https://openalex.org/W4249258891","https://openalex.org/W4292455338","https://openalex.org/W4302604182","https://openalex.org/W4385754649","https://openalex.org/W4401512824","https://openalex.org/W4407697362"],"related_works":["https://openalex.org/W2043690770","https://openalex.org/W2046320783","https://openalex.org/W1681106482","https://openalex.org/W2122992893","https://openalex.org/W850594699","https://openalex.org/W2906115901","https://openalex.org/W2006856795","https://openalex.org/W2786054093","https://openalex.org/W4313401127","https://openalex.org/W1618612856"],"abstract_inverted_index":{"Simulations":[0],"of":[1,5,17,23,31,38,84,87,101,130,136],"the":[2,15,18,21,29,59,72,85,112,120],"Brownian":[3],"dynamics":[4],"diffusing":[6],"particles":[7,89],"in":[8,44,71],"complex":[9],"environments":[10],"provide":[11],"important":[12],"information":[13],"about":[14],"characteristics":[16],"medium":[19],"and":[20,33,52],"properties":[22,122],"biological":[24,45],"processes.":[25],"Notable":[26],"examples":[27],"include":[28],"diffusion":[30,61,86,121],"ions":[32],"macromolecular":[34],"solutes":[35],"through":[36,90,139],"channels":[37,142],"varying":[39],"cross-section,":[40],"such":[41],"as":[42,115,127],"pores":[43],"membranes,":[46],"living":[47],"tissues,":[48],"zeolites,":[49],"carbon":[50],"nanotubes,":[51],"synthetic":[53],"porous":[54],"materials.":[55],"In":[56,76],"these":[57],"systems,":[58],"observed":[60],"can":[62],"exhibit":[63],"anomalous":[64],"behavior":[65],"characterized":[66],"by":[67],"a":[68,81,91,96,105,128],"nonlinear":[69],"increase":[70],"mean":[73],"squared":[74],"displacement.":[75],"this":[77],"article,":[78],"we":[79],"present":[80],"toy":[82],"model":[83],"rod-shaped":[88],"narrowing,":[92],"conical":[93,141],"pore":[94,131],"with":[95,111,124],"trapezoidal":[97],"longitudinal":[98],"cross-section.":[99],"Particles":[100],"different":[102],"sizes":[103],"undergo":[104],"random":[106],"walk":[107],"due":[108],"to":[109],"interactions":[110],"environment":[113],"(modeled":[114],"noise).":[116],"We":[117],"study":[118],"how":[119],"change":[123],"particle":[125],"size":[126],"function":[129],"width.":[132],"The":[133],"numerical":[134],"analysis":[135],"diffusion-driven":[137],"transport":[138],"narrowing":[140],"reveals":[143],"its":[144],"effective":[145],"subdiffusive,":[146],"i.e.,":[147],"anomalous,":[148],"character.":[149]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}