{"id":"https://openalex.org/W3092603610","doi":"https://doi.org/10.1137/20m1365442","title":"A Novel Derivation of Rigorous Macroscopic Limits from a Micro-Meso Description of Signal-Triggered Cell Migration in Fibrous Environments","display_name":"A Novel Derivation of Rigorous Macroscopic Limits from a Micro-Meso Description of Signal-Triggered Cell Migration in Fibrous Environments","publication_year":2022,"publication_date":"2022-01-13","ids":{"openalex":"https://openalex.org/W3092603610","doi":"https://doi.org/10.1137/20m1365442","mag":"3092603610"},"language":"en","primary_location":{"id":"doi:10.1137/20m1365442","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1365442","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":true,"oa_status":"green","oa_url":"https://pure.qub.ac.uk/en/publications/64d1ce2b-7566-4611-9398-e6868956b262","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066265130","display_name":"Anna Zhigun","orcid":"https://orcid.org/0000-0001-6156-7906"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anna Zhigun","raw_affiliation_strings":["School of Mathematics and Physics"],"raw_orcid":"https://orcid.org/0000-0001-6156-7906","affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054913828","display_name":"Christina Surulescu","orcid":"https://orcid.org/0000-0003-0968-8078"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christina Surulescu","raw_affiliation_strings":["Klein-Zentrum f\u00fcr Mathematik, Technische Universit\u00e4t Kaiserslautern, Paul-Ehrlich-Str. 31, 67663 Kaiser-slautern, Germany,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Klein-Zentrum f\u00fcr Mathematik, Technische Universit\u00e4t Kaiserslautern, Paul-Ehrlich-Str. 31, 67663 Kaiser-slautern, Germany,","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4886,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.78906355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"82","issue":"1","first_page":"142","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10379","display_name":"Cellular Mechanics and Interactions","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular 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/signal","display_name":"SIGNAL (programming language)","score":0.5797275900840759},{"id":"https://openalex.org/keywords/cell-migration","display_name":"Cell migration","score":0.4828910827636719},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3824092149734497},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3557252883911133},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3323823809623718},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32115429639816284},{"id":"https://openalex.org/keywords/cell","display_name":"Cell","score":0.24335399270057678},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.14313527941703796}],"concepts":[{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5797275900840759},{"id":"https://openalex.org/C137738243","wikidata":"https://www.wikidata.org/wiki/Q189092","display_name":"Cell migration","level":3,"score":0.4828910827636719},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3824092149734497},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3557252883911133},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3323823809623718},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32115429639816284},{"id":"https://openalex.org/C1491633281","wikidata":"https://www.wikidata.org/wiki/Q7868","display_name":"Cell","level":2,"score":0.24335399270057678},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.14313527941703796},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m1365442","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1365442","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:pure.qub.ac.uk/portal:openaire/64d1ce2b-7566-4611-9398-e6868956b262","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/64d1ce2b-7566-4611-9398-e6868956b262","pdf_url":null,"source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Zhigun, A & Surulescu, C 2022, 'A novel derivation of rigorous macroscopic limits from a micro-meso description of signal-triggered cell migration in fibrous environments', SIAM Journal on Applied Mathematics, vol. 82, no. 1. https://doi.org/10.1137/20M1365442","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.qub.ac.uk/portal:openaire/64d1ce2b-7566-4611-9398-e6868956b262","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/64d1ce2b-7566-4611-9398-e6868956b262","pdf_url":null,"source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Zhigun, A & Surulescu, C 2022, 'A novel derivation of rigorous macroscopic limits from a micro-meso description of signal-triggered cell migration in fibrous environments', SIAM Journal on Applied Mathematics, vol. 82, no. 1. https://doi.org/10.1137/20M1365442","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W209294074","https://openalex.org/W601523321","https://openalex.org/W1534983138","https://openalex.org/W1585160083","https://openalex.org/W1949466481","https://openalex.org/W1966693866","https://openalex.org/W1969501258","https://openalex.org/W1973496993","https://openalex.org/W1980363695","https://openalex.org/W1987347396","https://openalex.org/W1988987428","https://openalex.org/W2013676031","https://openalex.org/W2017554246","https://openalex.org/W2019746097","https://openalex.org/W2022333139","https://openalex.org/W2023735315","https://openalex.org/W2054870756","https://openalex.org/W2069956540","https://openalex.org/W2071831172","https://openalex.org/W2076234826","https://openalex.org/W2090565769","https://openalex.org/W2108236194","https://openalex.org/W2137420983","https://openalex.org/W2283368156","https://openalex.org/W2298063727","https://openalex.org/W2468499821","https://openalex.org/W2487638675","https://openalex.org/W2550628250","https://openalex.org/W2734904838","https://openalex.org/W2755933071","https://openalex.org/W2962916292","https://openalex.org/W2963755269","https://openalex.org/W3014154091","https://openalex.org/W3038830718","https://openalex.org/W3092346331","https://openalex.org/W3097516321","https://openalex.org/W3098067291","https://openalex.org/W3104352206","https://openalex.org/W3153256056","https://openalex.org/W3162735987","https://openalex.org/W4252960986"],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W2015238087","https://openalex.org/W2000948192"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"we":[3],"upscale":[4],"a":[5,12,17,21,54],"prototypical":[6],"kinetic":[7],"transport":[8],"equation":[9],"which":[10],"models":[11],"cell":[13,35],"population":[14],"moving":[15],"in":[16,53],"fibrous":[18],"environment":[19],"with":[20,73],"chemo-":[22],"or":[23],"haptotactic":[24],"signal":[25],"influencing":[26],"both":[27],"the":[28,31,34,61,64,78],"direction":[29],"and":[30,47,50],"magnitude":[32],"of":[33,63],"velocity.":[36],"The":[37],"presented":[38],"approach":[39],"to":[40],"scaling":[41],"does":[42],"not":[43],"rely":[44],"on":[45],"orthogonality":[46],"treats":[48],"parabolic":[49],"hyperbolic":[51],"scalings":[52],"unified":[55],"manner.":[56],"It":[57],"is":[58],"shown":[59],"that":[60,77],"steps":[62],"formal":[65],"limit":[66],"procedures":[67],"are":[68],"mirrored":[69],"by":[70],"rigorous":[71],"operations":[72],"finite":[74],"measures":[75],"provided":[76],"measure-valued":[79],"position-direction":[80],"fiber":[81],"distribution":[82],"enjoys":[83],"some":[84],"spacial":[85],"continuity.":[86]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
