Analysis of coupled intra- and extraluminal flows for single and multiple capillaries

DOI10.1016/0025-5564(82)90022-0zbMath0497.92004OpenAlexW2078068556MaRDI QIDQ1171013

Thomas R. Blake, Joseph F. Gross

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0025-5564(82)90022-0

zbMATH Keywords

Navier-Stokes equationsmatched asymptotic expansionsDarcy lawmicrocirculationcapillariescardiovascular systemcoupled fluid flowexplicit analytical expressionsextraluminal pressurefluid velocity fieldsintraluminal pressure

Mathematics Subject Classification ID

Physiological flows (76Z05) General biology and biomathematics (92B05) Physiological, cellular and medical topics (92Cxx)

Related Items (9)

Effect of extravascular pressure gradients on capillary fluid exchange ⋮ The interaction of extravascular pressure fields and fluid exchange in capillary networks ⋮ Numerical simulation of blood flow through microvascular capillary networks ⋮ A mixture theory model of fluid and solute transport in the microvasculature of normal and malignant tissues. I. Theory ⋮ A mixture theory model of fluid and solute transport in the microvasculature of normal and malignant tissues. II: Factor sensitivity analysis, calibration, and validation ⋮ Boundary value problems in microcirculatory physiology ⋮ Computational models for fluid exchange between microcirculation and tissue interstitium ⋮ Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction ⋮ Macro-scale models for fluid flow in tumour tissues: impact of microstructure properties

Cites Work

• Unnamed Item
• Physiological fluid dynamics: a survey?

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