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An evolution of pulse speed in arteries
1Marmara Research Centre, Research Institute for Basic Sciences, Department of Mathematics, Gebze-Kocaeli, Turkey.
Bulletin of Mathematical Biology
|January 1, 1996
Summary
This study models artery pulse wave speed using large deformation theory. Results show wave speed increases with lumen pressure but decreases with axial stretch, offering insights into arterial biomechanics.
Area of Science:
- Biomedical Engineering
- Solid Mechanics
- Cardiovascular Physiology
Background:
- Arterial walls are complex structures influencing pulse wave propagation.
- Understanding pulse wave dynamics is crucial for diagnosing cardiovascular conditions.
- Existing models often simplify arterial wall properties and deformation.
Purpose of the Study:
- To derive an explicit expression for pulse wave speed in arteries.
- To investigate the influence of lumen pressure and axial stretch on wave speed.
- To compare the derived model with previous theoretical frameworks.
Main Methods:
- Modeling the artery as a thick-walled, incompressible, isotropic, and elastic cylindrical shell.
- Applying large deformation theory.
- Utilizing Demiray's (1976) stress-strain relationship for arterial tissue.
Main Results:
- An explicit formula for pulse wave speed was obtained.
- Wave speed was found to increase with increasing lumen pressure.
- Wave speed was observed to decrease with increasing axial stretch.
Conclusions:
- The developed model provides a theoretical basis for understanding pulse wave propagation in arteries.
- Lumen pressure and axial stretch are significant biomechanical factors affecting arterial wave speed.
- The findings align with and extend previous theoretical models in the field.
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