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Introducing mesoscopic information into constitutive equations for arterial walls
Ray W Ogden1, Giuseppe Saccomandi
1Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK. rwo@maths.gla.ac.uk
Biomechanics and Modeling in Mechanobiology
|November 25, 2006
Summary
We developed a new model for arterial tissue mechanics, accounting for fiber limits. This elastic constitutive law captures tissue behavior and degradation, improving understanding of blood vessel function.
Area of Science:
- Biomechanics
- Materials Science
- Biomedical Engineering
Background:
- Arterial tissue mechanics are crucial for cardiovascular health.
- Existing models often simplify the complex behavior of collagen and elastin fibers.
- Understanding tissue response to mechanical stress is vital for diagnosing and treating vascular diseases.
Purpose of the Study:
- To propose a novel elastic constitutive law for arterial tissue.
- To incorporate the limiting polymeric chain extensibility of collagen and elastin fibers.
- To develop a model that can account for tissue degradation over time.
Main Methods:
- Developed an additive elastic strain-energy function separating isotropic (matrix/elastin) and anisotropic (collagen) contributions.
- Incorporated mesoscopic information on limiting fiber extensibility.
- Analyzed the elastic response of a thin-walled arterial tube under extension and inflation, comparing with existing models and rubber-like materials.
Main Results:
- The proposed logarithm-based model accurately represents arterial tissue mechanics.
- The model's ability to accommodate changing mechanical properties due to elastin and collagen degradation was demonstrated.
- Comparison with Fung-Demiray and other models highlights the advantages of the new constitutive law.
Conclusions:
- The new constitutive law provides a more comprehensive framework for modeling arterial tissue.
- The model's adaptability to degradation offers potential for predicting disease progression.
- This research enhances the understanding of vascular mechanics and provides a tool for further investigation.
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