Novel description for optimality principle of cerebral arteries within the circle of Willis: a Womersley number-based scaling law

DOI10.1007/s00033-024-02257-0zbMath1546.35242MaRDI QIDQ6565676

Mohsen Saghafian, Mahdi Nili-Ahmadabadi, E. Shirani, Mohammad Shumal

Publication date: 2 July 2024

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

scaling lawpulsatile flowbrain temperaturecircle of Willisflow resistanceWomersley number

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Physiological flows (76Z05) Bifurcations in context of PDEs (35B32) Physiological flow (92C35) Computational methods for problems pertaining to biology (92-08) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Diffusive and convective heat and mass transfer, heat flow (80A19) Finite volume methods for boundary value problems involving PDEs (65N08)

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