Mechanics of blood flow

Area of Science:

• Cardiovascular Mechanics
• Biophysics
• Fluid Dynamics

Background:

• The study of blood flow mechanics spans centuries, evolving with biological knowledge and mathematical analysis.
• Recent decades have seen significant progress driven by quantitative and numerical methods, offering more precise insights.
• Understanding blood flow is crucial for diagnosing and treating various cardiovascular conditions.

Purpose of the Study:

• To provide a historical overview of blood flow mechanics.
• To highlight recent advancements in modeling arterial and venous blood flow.
• To discuss the exploration of red blood cell rheology and its implications.

Main Methods:

• Nonlinear one-dimensional modeling for arterial pulse wave propagation.
• Development of theories for unsteady flow in collapsible venous tubes.
• Exploration of red blood cell rheological behavior using a membrane-fluid model.

Main Results:

• Nonlinear one-dimensional models accurately represent pulse wave propagation in arteries.
• Significant progress in describing blood flow at vascular junctions, stenoses, bends, and capillaries.
• A working model of red blood cells provides a basis for understanding blood's viscous and viscoelastic properties.

Conclusions:

• Modern quantitative and numerical methods have greatly improved the understanding of blood flow mechanics.
• Advanced modeling techniques are essential for accurately representing complex blood flow phenomena.
• Understanding the rheology of individual blood components is key to comprehending blood's overall behavior.