Services on Demand
Journal
Article
Indicators
- Cited by SciELO
Related links
- Similars in SciELO
Share
Latin American applied research
Print version ISSN 0327-0793
Abstract
CRAIEM, D. O. et al. Fractional calculus applied to model arterial viscoelasticity. Lat. Am. appl. res. [online]. 2008, vol.38, n.2, pp.141-145. ISSN 0327-0793.
Arterial viscoelasticity can be described using stress-relaxation experiments. To fit these curves, models with springs and dashpots, based on differential equations, were widely studied. However, uniaxial tests in arteries show particular shapes with an initial steep decay and a slow asymptotic relaxation. Recently, fractional order derivatives were used to conceive a new component called spring-pot that interpolates between pure elastic and viscous behaviors. In this work we modified a standard linear solid model replacing a dashpot with a spring-pot of order α . We tested the fractional model in human arterial segments. Results showed an accurate relaxation response during 1-hour with least squares errors below 1%. Fractional orders α were 0.2-0.4, justifying the extra parameter. Moreover, the adapted parameters allowed us to predict frequency responses that were similar to reported Complex Elastic Moduli in arteries. Our results indicate that fractional models should be considered as real alternatives to model arterial viscoelasticity.
Keywords : Viscoelasticy; Stress-Relaxation; Human Arteries; Standard-Linear Solid; Fractional Calculus.