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Perfusable Vascular Network with a Tissue Model in a Microfluidic Device
07:05

Perfusable Vascular Network with a Tissue Model in a Microfluidic Device

Published on: April 4, 2018

Multiple equilibrium states in a micro-vascular network.

David Gardner1, Yiyang Li, Benjamin Small

  • 1Franklin W. Olin College of Engineering, Needham, MA, USA.

Mathematical Biosciences
|July 15, 2010
PubMed
Summary
This summary is machine-generated.

This study models micro-vascular blood flow, revealing multiple stable states in blood vessel networks. The findings pave the way for experimental validation of complex blood flow dynamics.

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Area of Science:

  • Fluid dynamics
  • Biomedical engineering
  • Physiology

Background:

  • Micro-vascular networks are crucial for tissue oxygenation.
  • Understanding blood flow dynamics in these networks is complex due to rheological factors.
  • Multiple equilibrium states could significantly impact nutrient and oxygen delivery.

Purpose of the Study:

  • To investigate the conditions leading to multiple equilibrium states in a three-node micro-vascular network.
  • To model the influence of the Fåhraeus-Lindqvist and plasma skimming effects on blood flow.
  • To develop analytical and computational tools for designing validation experiments.

Main Methods:

  • Development of a simplified mathematical model for micro-vascular blood flow.
  • Incorporation of the Fåhraeus-Lindqvist effect (apparent blood viscosity).
  • Inclusion of the plasma skimming effect (red blood cell separation at bifurcations).
  • Utilizing analytical and computational approaches.

Main Results:

  • Demonstration that multiple equilibrium states can arise in the modeled micro-vascular network.
  • Identification of specific conditions conducive to these multiple states.
  • The model provides a framework for predicting complex flow behaviors.

Conclusions:

  • The study confirms the possibility of multiple equilibrium states in micro-vascular networks.
  • The developed model and tools can guide future experimental research.
  • This work enhances our understanding of blood flow regulation and its physiological implications.