Fractional calculus applied to model arterial viscoelasticity

Craiem, Damian, Rojo Pérez, Francisco Javier ORCID:, Atienza Riera, José Miguel ORCID:, Guinea Tortuero, Gustavo V. ORCID: 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
Item Type: Article
Título de Revista/Publicación: Latin American Applied Research
Date: April 2008
ISSN: 0327-0793
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

Full text

[thumbnail of INVE_MEM_2008_56979.pdf]
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (221kB) | Preview


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.

More information

Item ID: 2578
DC Identifier:
OAI Identifier:
Official URL:
Deposited by: Memoria Investigacion
Deposited on: 09 Apr 2010 10:19
Last Modified: 20 Apr 2016 12:14
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM