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Updated: Jul 10, 2026
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Published on: December 6, 2024
Arterial viscoelasticity: a fractional derivative model
Damien O Craiem1, Ricardo L Armentano
1Favaloro University, Avenida Belgrano 1723 (1093), Buenos Aires, Argentina. dcraiem@favaloro.edu.ar
Summary
Arterial walls exhibit unique viscoelastic properties, best modeled by a 4-parameter fractional derivative model. This approach accurately describes arterial mechanics with reduced complexity and computational cost.
Area of Science:
- Biomedical Engineering
- Materials Science
- Cardiovascular Research
Background:
- Arteries are viscoelastic, with their mechanical properties crucial for cardiovascular function.
- Traditional models for arterial viscoelasticity are complex, often requiring numerous parameters.
- Fractional derivative models offer a more parsimonious approach to describing rheological behavior.
Purpose of the Study:
- To apply a 4-parameter fractional derivative model to characterize in-vivo arterial wall mechanics.
- To investigate the frequency-independent modulus response observed in arteries.
- To compare the efficiency of fractional models against traditional methods for arterial tissue.
Main Methods:
- Simultaneous in-vivo measurement of strain and stress in an anesthetized sheep model.
- Application of a 4-parameter fractional derivative model to the dynamic stress-strain data.
- Analysis of the model's ability to capture the arterial elastic modulus spectrum.
Main Results:
- The fractional derivative model accurately described arterial wall mechanics in-vivo.
- The model identified a fractional order (alpha=0.12), indicating a predominantly elastic response.
- The 4-parameter model effectively mimicked the elastic modulus spectrum with minimal computational effort.
Conclusions:
- A 4-parameter fractional derivative model provides an efficient and accurate method for characterizing arterial viscoelasticity.
- This model simplifies the description of arterial mechanics, offering advantages over traditional integer-order models.
- The findings support the use of fractional calculus in understanding cardiovascular tissue biomechanics.
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