{"id":"https://openalex.org/W4404487952","doi":"https://doi.org/10.1137/24m1632425","title":"Homogenization of Nonlinear Blood Flow in Periodic Networks: The Limit of Small Haematocrit Heterogeneity","display_name":"Homogenization of Nonlinear Blood Flow in Periodic Networks: The Limit of Small Haematocrit Heterogeneity","publication_year":2024,"publication_date":"2024-11-18","ids":{"openalex":"https://openalex.org/W4404487952","doi":"https://doi.org/10.1137/24m1632425"},"language":"en","primary_location":{"id":"doi:10.1137/24m1632425","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/24m1632425","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","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/A5049869977","display_name":"Y. Ben-Ami","orcid":"https://orcid.org/0000-0002-9080-3071"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Yaron Ben-Ami","raw_affiliation_strings":["Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK"],"affiliations":[{"raw_affiliation_string":"Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009219802","display_name":"Brian D. Wood","orcid":"https://orcid.org/0000-0003-3152-7852"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brian D. Wood","raw_affiliation_strings":["School of Chemical, Biological, and Environmental Engineering, Oregon State University, Corvallis, OR 97331 USA"],"affiliations":[{"raw_affiliation_string":"School of Chemical, Biological, and Environmental Engineering, Oregon State University, Corvallis, OR 97331 USA","institution_ids":["https://openalex.org/I131249849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081431968","display_name":"Joe Pitt\u2010Francis","orcid":"https://orcid.org/0000-0002-5094-5403"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Joe M. Pitt-Francis","raw_affiliation_strings":["Department of Computer Science, University of Oxford, Oxford, OX1 3QD, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Oxford, Oxford, OX1 3QD, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025791169","display_name":"Philip K. Maini","orcid":"https://orcid.org/0000-0002-0146-9164"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Philip K. Maini","raw_affiliation_strings":["Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK"],"affiliations":[{"raw_affiliation_string":"Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087448925","display_name":"Helen M. Byrne","orcid":"https://orcid.org/0000-0003-1771-5910"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I4210106789","display_name":"Ludwig Cancer Research","ror":"https://ror.org/01e473h50","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4210106789","https://openalex.org/I4210150094"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Helen M. Byrne","raw_affiliation_strings":["Ludwig Institute for Cancer Research, University of Oxford, Oxford, OX3 7DQ, UK","Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK"],"affiliations":[{"raw_affiliation_string":"Ludwig Institute for Cancer Research, University of Oxford, Oxford, OX3 7DQ, UK","institution_ids":["https://openalex.org/I4210106789","https://openalex.org/I40120149"]},{"raw_affiliation_string":"Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5049869977"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24609836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"4","first_page":"1498","last_page":"1533"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11721","display_name":"Blood properties and coagulation","score":0.9761000275611877,"subfield":{"id":"https://openalex.org/subfields/2740","display_name":"Pulmonary and Respiratory Medicine"},"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9722999930381775,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/homogenization","display_name":"Homogenization (climate)","score":0.7623739242553711},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5977128744125366},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.46433770656585693},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4468935430049896},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.42682385444641113},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35771608352661133},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3479578495025635},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30835986137390137},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.09299924969673157}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.7623739242553711},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5977128744125366},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.46433770656585693},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4468935430049896},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.42682385444641113},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35771608352661133},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3479578495025635},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30835986137390137},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.09299924969673157},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1632425","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/24m1632425","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:f74e3ebb-a337-4f56-9c23-6450cfa2b135","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7774883091","display_name":"Multiscale Dynamics of Blood Flow and Associated Cycling Hypoxia in Vascular Tumours","funder_award_id":"EP/X023869/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W259079545","https://openalex.org/W807500948","https://openalex.org/W1495106044","https://openalex.org/W1507358517","https://openalex.org/W1610210274","https://openalex.org/W1764926271","https://openalex.org/W1975777116","https://openalex.org/W1984101493","https://openalex.org/W1988257057","https://openalex.org/W1989909055","https://openalex.org/W1996112427","https://openalex.org/W2006202974","https://openalex.org/W2026423564","https://openalex.org/W2028156849","https://openalex.org/W2044245267","https://openalex.org/W2044332835","https://openalex.org/W2051444912","https://openalex.org/W2063556542","https://openalex.org/W2083921413","https://openalex.org/W2102917242","https://openalex.org/W2126410943","https://openalex.org/W2126427858","https://openalex.org/W2132889938","https://openalex.org/W2138969875","https://openalex.org/W2157607856","https://openalex.org/W2427703062","https://openalex.org/W2470984080","https://openalex.org/W2528381731","https://openalex.org/W2783740858","https://openalex.org/W2808592409","https://openalex.org/W2895680199","https://openalex.org/W2975856157","https://openalex.org/W2990687519","https://openalex.org/W3168560585","https://openalex.org/W3208769209","https://openalex.org/W4226035642","https://openalex.org/W4284882956","https://openalex.org/W4385075900","https://openalex.org/W4398178245"],"related_works":["https://openalex.org/W2104620528","https://openalex.org/W140119233","https://openalex.org/W2757910772","https://openalex.org/W4249473811","https://openalex.org/W2394422079","https://openalex.org/W1492688905","https://openalex.org/W2524071042","https://openalex.org/W2550220886","https://openalex.org/W2025913943","https://openalex.org/W2514464965"],"abstract_inverted_index":{"In":[0,64],"this":[1],"work":[2],"we":[3,82,163,193],"develop":[4],"a":[5,95,126,145,156,175],"homogenization":[6,72],"methodology":[7],"to":[8,24,31,66,182,238],"upscale":[9],"mathematical":[10,46],"descriptions":[11],"of":[12,36,41,107,128,185,190,213,228],"microcirculatory":[13],"blood":[14,37,43,49,201,240],"flow":[15,50,59,136,151,202,241],"from":[16],"the":[17,25,32,52,58,76,88,101,105,135,141,150,161,170,180,195,210,220,225,229,246],"microscale":[18,97],"(where":[19],"individual":[20],"vessels":[21,120],"are":[22,54,121],"resolved)":[23],"macroscopic":[26,230],"(or":[27],"tissue)":[28],"scale.":[29],"Due":[30],"assumed":[33],"two-phase":[34],"nature":[35],"and":[38,60,91,137,152,187,216,242],"specific":[39],"features":[40],"red":[42],"cells":[44],"(RBCs),":[45],"models":[47],"for":[48,84],"in":[51,87,115,125,143,203],"microcirculation":[53],"highly":[55],"nonlinear,":[56],"coupling":[57],"RBC":[61],"concentrations":[62],"(haematocrit).":[63],"contrast":[65],"previous":[67],"works":[68],"which":[69,111,144],"accomplished":[70],"blood-flow":[71],"by":[73,103,174],"assuming":[74],"that":[75,166],"haematocrit":[77,89,109,116,138,167,222,243],"level":[78],"remains":[79],"constant,":[80],"here":[81],"allow":[83],"spatial":[85],"heterogeneity":[86,110],"concentration":[90,117],"thus":[92],"begin":[93],"with":[94,200,219],"nonlinear":[96,130,146],"model.":[98],"We":[99,207],"simplify":[100],"analysis":[102,162],"considering":[104],"limit":[106],"small":[108],"prevails":[112],"when":[113],"variations":[114],"between":[118],"neighboring":[119],"small.":[122],"Homogenization":[123],"results":[124],"system":[127],"coupled,":[129],"partial":[131],"differential":[132],"equations":[133],"describing":[134],"transport":[139,168,244],"at":[140,169,245],"macroscale,":[142],"Darcy-type":[147],"model":[148],"relates":[149],"pressure":[153],"gradient":[154],"via":[155],"haematocrit-dependent":[157],"permeability":[158,197,231],"tensor.":[159,232],"During":[160],"obtain":[164],"further":[165],"macroscale":[171],"is":[172],"governed":[173],"purely":[176],"advective":[177],"equation.":[178],"Applying":[179],"theory":[181],"particular":[183],"examples":[184],"two-":[186],"three-dimensional":[188],"geometries":[189],"periodic":[191],"networks,":[192],"calculate":[194],"effective":[196],"tensor":[198],"associated":[199],"these":[204],"vascular":[205],"networks.":[206],"demonstrate":[208],"how":[209],"statistical":[211,226],"distribution":[212],"vessel":[214],"lengths":[215],"diameters,":[217],"together":[218],"average":[221],"level,":[223],"affect":[224],"properties":[227],"These":[233],"data":[234],"can":[235],"be":[236],"used":[237],"simulate":[239],"macroscale.":[247]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}