Fractional calculus applied to model arterial viscoelasticity

Craiem, Damian and Rojo Pérez, Francisco Javier and Atienza Riera, José Miguel and Guinea Tortuero, Gustavo V. and Armentano, Ricardo L. (2008). Fractional calculus applied to model arterial viscoelasticity. "Latin American Applied Research", v. 38 (n. 2); pp. 141-145. ISSN 0327-0793.


Title: Fractional calculus applied to model arterial viscoelasticity
  • Craiem, Damian
  • Rojo Pérez, Francisco Javier
  • Atienza Riera, José Miguel
  • Guinea Tortuero, Gustavo V.
  • Armentano, Ricardo L.
Item Type: Article
Título de Revista/Publicación: Latin American Applied Research
Date: April 2008
Volume: 38
Freetext Keywords: Viscoelasticy, Stress-relaxation, Human arteries, Standard-linear solid, Fractional calculus.
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Ciencia de los Materiales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

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Item ID: 2578
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Deposited by: Memoria Investigacion
Deposited on: 09 Apr 2010 10:19
Last Modified: 20 Apr 2016 12:14
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