Model microvascular networks can have many equilibria

DOI10.1007/S11538-017-0251-ZzbMath1373.92056OpenAlexW2586834600WikidataQ47980625 ScholiaQ47980625MaRDI QIDQ2012323

Russell T. Carr, John B. Geddes, Nathaniel J. Karst

Publication date: 28 July 2017

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-017-0251-z

zbMATH Keywords

multiple equilibrianonlinear dynamicsnumerical continuationmicrovascular blood flow

Mathematics Subject Classification ID

Physiological flow (92C35) Systems biology, networks (92C42)

Related Items (2)

Modeling transit time distributions in microvascular networks ⋮ Modeling and simulation of the hexagonal pattern formation of honeycombs by the immersed boundary method

Cites Work

• A mathematical and numerical investigation of the hemodynamical origins of oscillations in microvascular networks
• Self-sustained oscillations in blood flow through a honeycomb capillary network
• Numerical simulation of unsteady blood flow through capillary networks
• Multiple equilibrium states in a micro-vascular network
• Numerical simulation of blood flow through microvascular capillary networks
• Oscillations and multiple equilibria in microvascular blood flow
• On the linear stability of blood flow through model capillary networks
• Spontaneous Oscillations in Simple Fluid Networks
• Red blood cell distribution in simplified capillary networks
• The Onset of Oscillations in Microvascular Blood Flow
• Blood flow in microvascular networks: A study in nonlinear biology

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