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Blood flow through a cylindrical blood vessel can be mathematically described using the principles of laminar flow, a regime in which fluid moves smoothly in parallel layers. In this model, the velocity of the blood is not uniform across the cross-section of the vessel; rather, it varies with the radial distance from the center. The maximum velocity occurs along the central axis, decreasing progressively toward the vessel walls, where it reaches zero due to viscous drag.Approximating Blood...
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Micro-particle Image Velocimetry for Velocity Profile Measurements of Micro Blood Flows
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Numerical methods for simulating blood flow at macro, micro, and multi scales.

Yohsuke Imai1, Toshihiro Omori1, Yuji Shimogonya2

  • 1School of Engineering, Tohoku University, Sendai, Japan.

Journal of Biomechanics
|December 26, 2015
PubMed
Summary

Computational biomechanics of blood flow utilizes advanced numerical methods and computational meshes for cellular to organ-scale simulations. This review focuses on mesh types and multi-scale modeling advancements in blood flow research.

Keywords:
Computational fluid dynamicsHemodynamicsRed blood cell

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Area of Science:

  • Computational fluid dynamics
  • Biomedical engineering
  • Hemodynamics

Background:

  • Numerical methods for blood flow simulation have advanced significantly over the past decade.
  • Applications range from cellular to organ scales.
  • Computational mesh type is a key characteristic differentiating numerical methods.

Purpose of the Study:

  • Provide an overview of recent numerical methods for blood flow simulation.
  • Focus on the role of computational meshes in these methods.
  • Discuss progress in multi-scale modeling of blood flow.

Main Methods:

  • Classification of numerical methods based on computational mesh: fixed mesh, moving mesh (boundary-fitted), and mesh-free.
  • Review of methods applied to macro and micro-scale blood flow simulations.
  • Exploration of multi-scale modeling techniques.

Main Results:

  • Numerical methods, categorized by mesh type, offer diverse capabilities for blood flow analysis.
  • Advancements in mesh strategies enhance simulation accuracy and applicability.
  • Multi-scale modeling is crucial for comprehensive understanding of blood flow dynamics.

Conclusions:

  • The choice of computational mesh significantly impacts the performance and application of blood flow simulation methods.
  • Continued development in numerical techniques and multi-scale modeling is essential for advancing computational biomechanics.
  • Future research should leverage these methods for deeper insights into physiological and pathological blood flow.