{"id":"https://openalex.org/W7225609971","doi":"https://doi.org/10.21954/ou.ro.00112582","title":"Mathematical modelling of cerebrospinal and interstitial fluid dynamics associated with perivascular spaces surrounding penetrating arteries","display_name":"Mathematical modelling of cerebrospinal and interstitial fluid dynamics associated with perivascular spaces surrounding penetrating arteries","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225609971","doi":"https://doi.org/10.21954/ou.ro.00112582"},"language":"en","primary_location":{"id":"doi:10.21954/ou.ro.00112582","doi":"https://doi.org/10.21954/ou.ro.00112582","is_oa":true,"landing_page_url":"https://doi.org/10.21954/ou.ro.00112582","pdf_url":null,"source":{"id":"https://openalex.org/S4306401187","display_name":"Open Research Online (The Open University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I204136569","host_organization_name":"The Open University","host_organization_lineage":["https://openalex.org/I204136569"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.21954/ou.ro.00112582","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120559708","display_name":"Gregory Holba","orcid":"https://orcid.org/0009-0008-4609-2971","observed_orcids":["https://orcid.org/0009-0008-4609-2971"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Holba, Gregory","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0008-4609-2971","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5120559708"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11406","display_name":"Cerebrospinal fluid and hydrocephalus","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2728","display_name":"Clinical Neurology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T11406","display_name":"Cerebrospinal fluid and hydrocephalus","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2728","display_name":"Clinical Neurology"},"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/T10724","display_name":"Ion Transport and Channel Regulation","score":0.00039999998989515007,"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"}},{"id":"https://openalex.org/T10706","display_name":"Traumatic Brain Injury and Neurovascular Disturbances","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2728","display_name":"Clinical Neurology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/perivascular-spaces","display_name":"perivascular spaces","score":0.8989999890327454},{"id":"https://openalex.org/keywords/cerebrospinal-fluid-flow","display_name":"cerebrospinal fluid flow","score":0.9950000047683716},{"id":"https://openalex.org/keywords/interstitial-fluid-flow","display_name":"interstitial fluid flow","score":0.9929999709129333},{"id":"https://openalex.org/keywords/brain-pulsation","display_name":"brain pulsation","score":0.7789999842643738},{"id":"https://openalex.org/keywords/brain-waste-clearance","display_name":"brain waste clearance","score":0.7590000033378601},{"id":"https://openalex.org/keywords/glymphatic-system","display_name":"glymphatic system","score":0.878000020980835},{"id":"https://openalex.org/keywords/penetrating-arteries","display_name":"penetrating arteries","score":0.6359999775886536},{"id":"https://openalex.org/keywords/arterial-wall-motion","display_name":"arterial wall motion","score":0.9390000104904175},{"id":"https://openalex.org/keywords/blood-pressure-waves","display_name":"blood pressure waves","score":0.6570000052452087},{"id":"https://openalex.org/keywords/lubrication-theory","display_name":"lubrication theory","score":0.8309999704360962},{"id":"https://openalex.org/keywords/porous-media-flow","display_name":"porous media flow","score":0.6060000061988831},{"id":"https://openalex.org/keywords/darcy-s-law","display_name":"Darcy's law","score":0.8510000109672546},{"id":"https://openalex.org/keywords/peclet-number","display_name":"Peclet number","score":0.8489999771118164},{"id":"https://openalex.org/keywords/diffusion","display_name":"diffusion","score":0.5199999809265137},{"id":"https://openalex.org/keywords/arterial-stiffness","display_name":"arterial stiffness","score":0.640999972820282},{"id":"https://openalex.org/keywords/neurodegeneration","display_name":"neurodegeneration","score":0.7919999957084656}],"concepts":[{"id":"https://openalex.org/C2777799939","wikidata":"https://www.wikidata.org/wiki/Q1711381","display_name":"Perivascular space","level":2,"score":0.7642999887466431},{"id":"https://openalex.org/C101054994","wikidata":"https://www.wikidata.org/wiki/Q15474254","display_name":"Glymphatic system","level":3,"score":0.7512000203132629},{"id":"https://openalex.org/C2779651940","wikidata":"https://www.wikidata.org/wiki/Q54196","display_name":"Cerebrospinal fluid","level":2,"score":0.6866000294685364},{"id":"https://openalex.org/C2779822359","wikidata":"https://www.wikidata.org/wiki/Q2914458","display_name":"Interstitial fluid","level":2,"score":0.5889999866485596},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5856000185012817},{"id":"https://openalex.org/C196822366","wikidata":"https://www.wikidata.org/wiki/Q270524","display_name":"Parenchyma","level":2,"score":0.5285000205039978},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4731000065803528},{"id":"https://openalex.org/C2779126057","wikidata":"https://www.wikidata.org/wiki/Q478010","display_name":"Fluid\u2013structure interaction","level":3,"score":0.44839999079704285},{"id":"https://openalex.org/C158846371","wikidata":"https://www.wikidata.org/wiki/Q1642137","display_name":"Blood flow","level":2,"score":0.41690000891685486},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.413100004196167},{"id":"https://openalex.org/C153400128","wikidata":"https://www.wikidata.org/wiki/Q3150731","display_name":"Infiltration (HVAC)","level":2,"score":0.3912000060081482},{"id":"https://openalex.org/C2986936838","wikidata":"https://www.wikidata.org/wiki/Q492038","display_name":"Brain tissue","level":2,"score":0.36419999599456787},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","level":1,"score":0.34459999203681946},{"id":"https://openalex.org/C162802515","wikidata":"https://www.wikidata.org/wiki/Q2858941","display_name":"Lubrication theory","level":3,"score":0.3330000042915344},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.33090001344680786},{"id":"https://openalex.org/C2777670902","wikidata":"https://www.wikidata.org/wiki/Q492038","display_name":"Human brain","level":2,"score":0.32339999079704285},{"id":"https://openalex.org/C2776928176","wikidata":"https://www.wikidata.org/wiki/Q2498879","display_name":"Confined space","level":2,"score":0.32010000944137573},{"id":"https://openalex.org/C108729823","wikidata":"https://www.wikidata.org/wiki/Q3716064","display_name":"Stiffening","level":2,"score":0.3052999973297119},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.29919999837875366},{"id":"https://openalex.org/C136229726","wikidata":"https://www.wikidata.org/wiki/Q327092","display_name":"Biomedical engineering","level":1,"score":0.29510000348091125},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.29249998927116394},{"id":"https://openalex.org/C150489694","wikidata":"https://www.wikidata.org/wiki/Q6057172","display_name":"Interstitial space","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.2784999907016754},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.2712000012397766},{"id":"https://openalex.org/C3020090656","wikidata":"https://www.wikidata.org/wiki/Q9655","display_name":"Arterial wall","level":2,"score":0.27000001072883606},{"id":"https://openalex.org/C2778402981","wikidata":"https://www.wikidata.org/wiki/Q221694","display_name":"Blood\u2013brain barrier","level":3,"score":0.26980000734329224},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.26499998569488525},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.25529998540878296}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.21954/ou.ro.00112582","doi":"https://doi.org/10.21954/ou.ro.00112582","is_oa":true,"landing_page_url":"https://doi.org/10.21954/ou.ro.00112582","pdf_url":null,"source":{"id":"https://openalex.org/S4306401187","display_name":"Open Research Online (The Open University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I204136569","host_organization_name":"The Open University","host_organization_lineage":["https://openalex.org/I204136569"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.21954/ou.ro.00112582","doi":"https://doi.org/10.21954/ou.ro.00112582","is_oa":true,"landing_page_url":"https://doi.org/10.21954/ou.ro.00112582","pdf_url":null,"source":{"id":"https://openalex.org/S4306401187","display_name":"Open Research Online (The Open University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I204136569","host_organization_name":"The Open University","host_organization_lineage":["https://openalex.org/I204136569"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.8371999859809875,"display_name":"Good health and well-being"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4416512444","https://openalex.org/W2748212376","https://openalex.org/W3116367215","https://openalex.org/W2023196007","https://openalex.org/W3153046906","https://openalex.org/W3036229231","https://openalex.org/W4386878269","https://openalex.org/W3186035626","https://openalex.org/W6894054977","https://openalex.org/W2901166225"],"abstract_inverted_index":{"Two":[0],"studies":[1],"examine":[2],"the":[3,56,75,87,97,102,109,136,139,168,171,185,191,214,257,261,286],"flow":[4,38,150,205,229,272,284],"of":[5,89,138,157,161,170,209,216,236,264],"neurofluids":[6],"in":[7,25,39,135,174,184,213,274],"human":[8],"perivascular":[9],"spaces":[10],"(PVSs)":[11],"surrounding":[12,41,186],"brain":[13,28,42,63,94,187,217,266,278],"penetrating":[14,43],"arteries.":[15,44],"Brain":[16],"pulsations":[17,279],"are":[18,120,133,222],"included,":[19],"a":[20,51,71,194,207,239],"physiological":[21],"feature":[22],"previously":[23],"overlooked":[24],"research":[26],"into":[27,202,224],"waste":[29,267,297],"clearance.":[30,298],"The":[31,113,164],"first":[32],"study":[33,166],"models":[34],"cerebrospinal":[35],"fluid":[36,181,204],"(CSF)":[37],"PVSs":[40,153,175],"Arterial":[45],"wall":[46,111,145],"motion":[47],"is":[48,67,78,83,253],"driven":[49],"by":[50,108,231],"blood":[52],"pressure":[53],"wave,":[54],"while":[55,277],"outer":[57],"PVS":[58],"boundary":[59],"oscillates":[60],"due":[61],"to":[62,69,85,100,176,233,295],"pulsations.":[64],"Lubrication":[65],"theory":[66],"employed":[68],"derive":[70],"mathematical":[72],"model":[73],"for":[74],"flow,":[76],"which":[77],"solved":[79],"numerically.":[80],"An":[81],"analysis":[82],"undertaken":[84],"investigate":[86],"effect":[88],"key":[90],"cardiovascular":[91,258],"parameters":[92],"and":[93,124,147,151,197,248,292],"pulsations,":[95,218],"with":[96],"latter":[98],"found":[99],"magnify":[101],"net":[103,178,225,243,249,281],"axial":[104,245],"CSF":[105,118,172,246,271],"flows":[106,119,173,183,221,247,252],"created":[107],"arterial":[110,144],"motion.":[112],"findings":[114,210],"suggest":[115],"that":[116],"these":[117],"almost":[121],"always":[122],"antegrade":[123],"highly":[125],"dependent":[126],"on":[127],"PVS-penetrating":[128],"artery":[129],"configurations.":[130],"Clinical":[131],"implications":[132],"discussed":[134],"light":[137],"glymphatic":[140],"hypothesis,":[141],"such":[142],"as":[143,155,193],"stiffening":[146],"thickening":[148],"impairing":[149],"dilated":[152],"acting":[154],"indicators":[156],"an":[158],"increased":[159],"likelihood":[160],"neurodegenerative":[162],"conditions.":[163],"second":[165],"examines":[167],"ability":[169],"generate":[177],"bulk":[179,226,250,282],"interstitial":[180],"(ISF)":[182],"parenchyma.":[188],"By":[189],"treating":[190],"parenchyma":[192],"porous":[195],"medium":[196],"incorporating":[198],"time-dependent":[199],"parenchymal":[200],"porosity":[201],"Darcy\u2019s":[203],"law,":[206],"number":[208,288],"emerge.":[211],"First,":[212],"presence":[215],"oscillatory":[219],"ISF":[220,251,283],"rectified":[223],"flows,":[227],"raising":[228,260],"rates":[230],"up":[232],"four":[234],"orders":[235],"magnitude.":[237],"Second,":[238],"power-law":[240],"relationship":[241],"between":[242],"mean":[244],"established":[254],"across":[255],"all":[256],"parameters,":[259],"future":[262],"prospect":[263],"assessing":[265],"clearance":[268],"efficiency":[269],"from":[270],"measurements":[273],"PVSs.":[275],"Finally,":[276],"uplift":[280],"rates,":[285],"P\u00e9clet":[287],"remains":[289],"below":[290],"unity":[291],"diffusion":[293],"continues":[294],"dominate":[296]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}