Modeling the pressure distribution in a spatially averaged cerebral capillary network

DOI10.3934/mcrf.2021016zbMath1471.92115OpenAlexW3133776210MaRDI QIDQ2230373

Renée Lampe, Irina N. Sidorenko, Andrey E. Kovtanyuk, Nikolai D. Botkin, Varvara L. Turova, Alexander Yu. Chebotarev

Publication date: 17 September 2021

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2021016

zbMATH Keywords

unique solvabilitycerebral blood flow circulationinverse problem for Poisson equation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Physiological flow (92C35)

Uses Software

• FreeFem++

Cites Work

• Finite element analysis of blood flow through biological tissue
• The role of porous media in modeling flow and heat transfer in biological tissues.
• Accounting for tube hematocrit in modeling of blood flow in cerebral capillary networks
• Continuum model of oxygen transport in brain
• New development in freefem++

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