{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,28]],"date-time":"2026-06-28T17:39:18Z","timestamp":1782668358481,"version":"3.54.5"},"update-to":[{"DOI":"10.1371\/journal.pcbi.1013459","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T00:00:00Z","timestamp":1758240000000}}],"reference-count":96,"publisher":"Public Library of Science (PLoS)","issue":"9","license":[{"start":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T00:00:00Z","timestamp":1757289600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002322","name":"CAPES","doi-asserted-by":"crossref","award":["88887.001789\/2024-00"],"award-info":[{"award-number":["88887.001789\/2024-00"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100004586","name":"FAPERJ","doi-asserted-by":"crossref","award":["E26\/203.082\/2023"],"award-info":[{"award-number":["E26\/203.082\/2023"]}],"id":[{"id":"10.13039\/501100004586","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100004586","name":"FAPERJ","doi-asserted-by":"crossref","award":["E-26\/200.364\/2023"],"award-info":[{"award-number":["E-26\/200.364\/2023"]}],"id":[{"id":"10.13039\/501100004586","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003593","name":"CNPq","doi-asserted-by":"crossref","award":["304347\/2023-0"],"award-info":[{"award-number":["304347\/2023-0"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001505","name":"Health Research Council of New Zealand","doi-asserted-by":"publisher","award":["24\/016\/A"],"award-info":[{"award-number":["24\/016\/A"]}],"id":[{"id":"10.13039\/501100001505","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"abstract":"<jats:p>Understanding cerebral circulation is crucial for early diagnosis and patient-oriented therapies for brain conditions. However, blood flow simulations at the organ scale have been limited. This work introduces a framework for modeling extensive vascular networks in the human cerebral cortex and conducting pulsatile blood flow simulations. Using a patient-specific cerebral geometry, we applied a parallelized adaptive constrained constructive optimization algorithm to create a comprehensive pial vascular network in the left hemisphere, starting from the main cerebral arteries. The resulting network included over 75\u00a0000, 103\u00a0000, and 55\u00a0000 vessels for the anterior, middle, and posterior territories, respectively. Pial vessel diameters featured a median [interquartile range, IQR] value of <jats:inline-formula id=\"pcbi.1013459.e001\"><jats:alternatives><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1013459.e001g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1013459.e001\" xlink:type=\"simple\"\/><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M1\"><mml:mrow><mml:mn>62.8<\/mml:mn><mml:mspace width=\"0.167em\"\/><mml:mo stretchy=\"false\">[<\/mml:mo><mml:mn>49.3<\/mml:mn><mml:mo>,<\/mml:mo><mml:mn>89.3<\/mml:mn><mml:mo stretchy=\"false\">]<\/mml:mo><mml:mspace width=\"0.167em\"\/><mml:mi>\u03bc<\/mml:mi><mml:mi>m<\/mml:mi><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>. We integrated the pial vascular network model with the Anatomically-Detailed Arterial Network (ADAN) model to conduct one-dimensional (1D) blood flow simulations under normotensive and hypertensive conditions. Viscoelastic dissipation proved to be a key ingredient in the characterization of the hemodynamic environments in the pial circulation. In the normotensive scenario, mean blood pressure in the pial vessels resulted in a median [IQR] value of <jats:inline-formula id=\"pcbi.1013459.e002\"><jats:alternatives><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1013459.e002g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1013459.e002\" xlink:type=\"simple\"\/><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M2\"><mml:mrow><mml:mn>56.7<\/mml:mn><mml:mspace width=\"0.167em\"\/><mml:mspace width=\"0.167em\"\/><mml:mo stretchy=\"false\">[<\/mml:mo><mml:mn>49.8<\/mml:mn><mml:mo>,<\/mml:mo><mml:mn>63.5<\/mml:mn><mml:mo stretchy=\"false\">]<\/mml:mo><mml:mspace width=\"0.167em\"\/><mml:mrow><mml:mi mathvariant=\"normal\">m<\/mml:mi><mml:mi mathvariant=\"normal\">m<\/mml:mi><mml:mi mathvariant=\"normal\">H<\/mml:mi><mml:mi mathvariant=\"normal\">g<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>. The flow pulsatility index and its corresponding damping factor were effective descriptors of the hypertensive state. The median [IQR] pulsatility index in the normotensive state was <jats:inline-formula id=\"pcbi.1013459.e003\"><jats:alternatives><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1013459.e003g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1013459.e003\" xlink:type=\"simple\"\/><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M3\"><mml:mrow><mml:mn>0.39<\/mml:mn><mml:mspace width=\"0.167em\"\/><mml:mspace width=\"0.167em\"\/><mml:mo stretchy=\"false\">[<\/mml:mo><mml:mn>0.38<\/mml:mn><mml:mo>,<\/mml:mo><mml:mn>0.40<\/mml:mn><mml:mo stretchy=\"false\">]<\/mml:mo><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>, and in hypertension it increased up to <jats:inline-formula id=\"pcbi.1013459.e004\"><jats:alternatives><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1013459.e004g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1013459.e004\" xlink:type=\"simple\"\/><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M4\"><mml:mrow><mml:mn>0.84<\/mml:mn><mml:mspace width=\"0.167em\"\/><mml:mspace width=\"0.167em\"\/><mml:mo stretchy=\"false\">[<\/mml:mo><mml:mn>0.83<\/mml:mn><mml:mo>,<\/mml:mo><mml:mn>0.85<\/mml:mn><mml:mo stretchy=\"false\">]<\/mml:mo><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>, while its corresponding damping factor in the normotensive state was <jats:inline-formula id=\"pcbi.1013459.e005\"><jats:alternatives><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1013459.e005g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1013459.e005\" xlink:type=\"simple\"\/><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M5\"><mml:mrow><mml:mn>2.07<\/mml:mn><mml:mspace width=\"0.167em\"\/><mml:mspace width=\"0.167em\"\/><mml:mo stretchy=\"false\">[<\/mml:mo><mml:mn>1.78<\/mml:mn><mml:mo>,<\/mml:mo><mml:mn>2.48<\/mml:mn><mml:mo stretchy=\"false\">]<\/mml:mo><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>, and in the hypertensive state it was reduced to <jats:inline-formula id=\"pcbi.1013459.e006\"><jats:alternatives><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1013459.e006g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1013459.e006\" xlink:type=\"simple\"\/><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M6\"><mml:mrow><mml:mn>1.20<\/mml:mn><mml:mspace width=\"0.167em\"\/><mml:mspace width=\"0.167em\"\/><mml:mo stretchy=\"false\">[<\/mml:mo><mml:mn>1.16<\/mml:mn><mml:mo>,<\/mml:mo><mml:mn>1.39<\/mml:mn><mml:mo stretchy=\"false\">]<\/mml:mo><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>. We observed large regional pressure gradients in terminal vessels, with pressure levels ranging from <jats:inline-formula id=\"pcbi.1013459.e007\"><jats:alternatives><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1013459.e007g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1013459.e007\" xlink:type=\"simple\"\/><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M7\"><mml:mrow><mml:mn>50<\/mml:mn><mml:mspace width=\"0.167em\"\/><mml:mrow><mml:mi mathvariant=\"normal\">m<\/mml:mi><mml:mi mathvariant=\"normal\">m<\/mml:mi><mml:mi mathvariant=\"normal\">H<\/mml:mi><mml:mi mathvariant=\"normal\">g<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> in normotension to <jats:inline-formula id=\"pcbi.1013459.e008\"><jats:alternatives><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1013459.e008g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1013459.e008\" xlink:type=\"simple\"\/><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M8\"><mml:mrow><mml:mn>70<\/mml:mn><mml:mspace width=\"0.167em\"\/><mml:mrow><mml:mi mathvariant=\"normal\">m<\/mml:mi><mml:mi mathvariant=\"normal\">m<\/mml:mi><mml:mi mathvariant=\"normal\">H<\/mml:mi><mml:mi mathvariant=\"normal\">g<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> in hypertension. Additionally, the pulsatility index at terminal vessels increased with distance from the Circle of Willis in the hypertensive case, contrasting with the decreasing pattern seen in normotension. This approach provides a unique characterization of hemodynamics in the pial vascular network of the human cerebral cortex, paving the way for research into microcirculatory environments, the link between hemodynamics and neural function, and their roles in conditions like stroke and dementia.<\/jats:p>","DOI":"10.1371\/journal.pcbi.1013459","type":"journal-article","created":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T18:09:30Z","timestamp":1757354970000},"page":"e1013459","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":1,"title":["Blood flow in the human cerebral cortex: Large-scale pial vascularization and 1D simulation"],"prefix":"10.1371","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6656-2271","authenticated-orcid":true,"given":"Eduardo G.","family":"Zilves","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lucas O.","family":"M\u00fcller","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5208-992X","authenticated-orcid":true,"given":"Gonzalo D. M.","family":"Talou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vladimir","family":"Hachinski","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7478-1098","authenticated-orcid":true,"given":"J. David","family":"Spence","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3527-619X","authenticated-orcid":true,"given":"Pablo J.","family":"Blanco","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"340","published-online":{"date-parts":[[2025,9,8]]},"reference":[{"issue":"10","key":"pcbi.1013459.ref001","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1016\/S1474-4422(21)00252-0","article-title":"Global, regional,, National Burden of Stroke and Its risk factors 1990 \u20132019: a systematic analysis for the global burden of disease study 2019","volume":"20","author":"VL Feigin","year":"2021","journal-title":"The Lancet Neurology"},{"key":"pcbi.1013459.ref002","first-page":"14","article-title":"Global, regional,, national burden of Alzheimer\u2019s disease and other dementias 1990 -2019","author":"X 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