{"id":"https://openalex.org/W4411288453","doi":"https://doi.org/10.1002/qub2.70009","title":"Modeling angiogenesis under Robin boundary conditions","display_name":"Modeling angiogenesis under Robin boundary conditions","publication_year":2025,"publication_date":"2025-06-13","ids":{"openalex":"https://openalex.org/W4411288453","doi":"https://doi.org/10.1002/qub2.70009","pmid":"https://pubmed.ncbi.nlm.nih.gov/41674717"},"language":"en","primary_location":{"id":"doi:10.1002/qub2.70009","is_oa":true,"landing_page_url":"https://doi.org/10.1002/qub2.70009","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/qub2.70009","source":{"id":"https://openalex.org/S4210172333","display_name":"Quantitative Biology","issn_l":"2095-4689","issn":["2095-4689","2095-4697"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantitative Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/qub2.70009","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014434944","display_name":"Pablo \u00c1lvarez\u2010Caudevilla","orcid":"https://orcid.org/0000-0003-1736-5818"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pablo \u00c1lvarez\u2010Caudevilla","raw_affiliation_strings":["Departamento de Matem\u00e1ticas Universidad Carlos III de Madrid  Legan\u00e9s Madrid Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas Universidad Carlos III de Madrid  Legan\u00e9s Madrid Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081825991","display_name":"Cristina Br\u00e4ndle","orcid":"https://orcid.org/0000-0003-4835-7642"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Cristina Br\u00e4ndle","raw_affiliation_strings":["Departamento de Matem\u00e1ticas Universidad Carlos III de Madrid  Legan\u00e9s Madrid Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas Universidad Carlos III de Madrid  Legan\u00e9s Madrid Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5118143799","display_name":"Elena Encinas","orcid":null},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Elena Encinas","raw_affiliation_strings":["Departamento de Matem\u00e1ticas Universidad Carlos III de Madrid  Legan\u00e9s Madrid Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas Universidad Carlos III de Madrid  Legan\u00e9s Madrid Spain","institution_ids":["https://openalex.org/I50357001"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081825991"],"corresponding_institution_ids":["https://openalex.org/I50357001"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13978495,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"4","first_page":"e70009","last_page":"e70009"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9998999834060669,"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":0.9998999834060669,"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/T10336","display_name":"Cancer Cells and Metastasis","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2730","display_name":"Oncology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10379","display_name":"Cellular Mechanics and Interactions","score":0.978600025177002,"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/angiogenesis","display_name":"Angiogenesis","score":0.529447078704834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3509071469306946},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.292026162147522},{"id":"https://openalex.org/keywords/internal-medicine","display_name":"Internal medicine","score":0.18922418355941772}],"concepts":[{"id":"https://openalex.org/C2780394083","wikidata":"https://www.wikidata.org/wiki/Q539568","display_name":"Angiogenesis","level":2,"score":0.529447078704834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3509071469306946},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.292026162147522},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.18922418355941772}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1002/qub2.70009","is_oa":true,"landing_page_url":"https://doi.org/10.1002/qub2.70009","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/qub2.70009","source":{"id":"https://openalex.org/S4210172333","display_name":"Quantitative Biology","issn_l":"2095-4689","issn":["2095-4689","2095-4697"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantitative Biology","raw_type":"journal-article"},{"id":"pmid:41674717","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41674717","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":"Quantitative biology (Beijing, China)","raw_type":null},{"id":"pmh:oai:doaj.org/article:b5d40174ea6e44909831507882bae9b6","is_oa":true,"landing_page_url":"https://doaj.org/article/b5d40174ea6e44909831507882bae9b6","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":"Quantitative Biology, Vol 13, Iss 4, Pp n/a-n/a (2025)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:11693208","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/12806013","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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":null,"raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:12806013","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12806013/","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":"Quant Biol","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1002/qub2.70009","is_oa":true,"landing_page_url":"https://doi.org/10.1002/qub2.70009","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/qub2.70009","source":{"id":"https://openalex.org/S4210172333","display_name":"Quantitative Biology","issn_l":"2095-4689","issn":["2095-4689","2095-4697"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantitative Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411288453.pdf","grobid_xml":"https://content.openalex.org/works/W4411288453.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1570799157","https://openalex.org/W1862800359","https://openalex.org/W1973546194","https://openalex.org/W1975429911","https://openalex.org/W1978139448","https://openalex.org/W2014455063","https://openalex.org/W2021117151","https://openalex.org/W2048195900","https://openalex.org/W2059051325","https://openalex.org/W2081117480","https://openalex.org/W2268879171","https://openalex.org/W2507300139","https://openalex.org/W2518731472","https://openalex.org/W2610202470","https://openalex.org/W2898274060","https://openalex.org/W2913717481","https://openalex.org/W2965566480","https://openalex.org/W2998175803","https://openalex.org/W3014262284","https://openalex.org/W3087490490","https://openalex.org/W4385551441","https://openalex.org/W6684520500"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2075734225","https://openalex.org/W2042474810","https://openalex.org/W2561802298","https://openalex.org/W3152246802","https://openalex.org/W2127463799","https://openalex.org/W73242545","https://openalex.org/W3130328135"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"we":[3],"show":[4,58],"an":[5],"example":[6],"of":[7,16,33,40,54,63,86,93],"a":[8,64,77],"numerical":[9],"model":[10,42],"based":[11],"on":[12],"the":[13,31,36,41,52,61,72,84,87,91],"Keller-Segel":[14],"system":[15],"equations":[17],"to":[18,23,45,51,71],"simulate":[19],"angiogenesis":[20,67],"in":[21,60],"response":[22],"chemotaxis":[24],"under":[25],"Robin":[26],"boundary":[27],"conditions,":[28],"which":[29],"represent":[30],"presence":[32,62],"flux":[34,74],"at":[35],"tumor.":[37],"Different":[38],"parameters":[39],"are":[43],"modified":[44],"identify":[46],"key":[47],"biological":[48],"factors":[49],"relevant":[50],"behavior":[53],"angiogenesis.":[55],"The":[56],"results":[57],"that":[59,75],"stronger":[65],"flux,":[66],"occurs":[68],"later":[69],"owing":[70],"chemical":[73],"creates":[76],"more":[78],"uniform":[79],"and":[80,89],"homogeneous":[81],"matrix,":[82],"decreasing":[83],"pronunciation":[85],"gradient":[88],"reducing":[90],"potential":[92],"chemotaxis.":[94]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}