Blood flow in microvascular networks: A study in nonlinear biology

DOI10.1063/1.3530122zbMath1311.92057OpenAlexW1982356301WikidataQ42578870 ScholiaQ42578870MaRDI QIDQ5251345

Meaghan Maher, Yingyi Lao, Fan Wu, John B. Geddes, Russell T. Carr

Publication date: 20 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc3026012

zbMATH Keywords

limit cyclesFahraeus-Lindqvist effectmicrovascular networks

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Physiological flow (92C35)

Related Items

Structural features of microvascular networks trigger blood flow oscillations ⋮ Mathematical modeling of blood flow alteration in microcirculatory network due to angiogenesis ⋮ A mathematical and numerical investigation of the hemodynamical origins of oscillations in microvascular networks ⋮ Oscillations and multiple equilibria in microvascular blood flow ⋮ Self-sustained oscillations in blood flow through a honeycomb capillary network ⋮ On the linear stability of blood flow through model capillary networks ⋮ Model microvascular networks can have many equilibria

Uses Software

• DDE-BIFTOOL

Cites Work

• Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example
• MICROCIRCULATION AND HEMORHEOLOGY
• Shock formation and non-linear dispersion in a microvascular capillary network
• The Onset of Oscillations in Microvascular Blood Flow
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL