A Mathematical Model of an Arterial Bifurcation

DOI10.15826/UMJ.2019.1.011zbMath1450.76044OpenAlexW2965891858MaRDI QIDQ5125235

G. L. Zavorokhin

Publication date: 5 October 2020

Published in: Ural Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj79

zbMATH Keywords

asymptotic solutionStokes flowblood vesselpressure drop matrixmodified Kirchhoff conditionMurrey law

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stokes and related (Oseen, etc.) flows (76D07) Physiological flows (76Z05) Physiological flow (92C35)

Cites Work

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• A one-dimensional model of flow in a junction of thin channels, including arterial trees
• A fractal graph model of capillary type systems
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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