Fractional calculus applied to model arterial viscoelasticity

Craiem, Damian; Rojo Pérez, Francisco Javier; Atienza Riera, José Miguel; Guinea Tortuero, Gustavo V. y 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.

Descripción

Título: Fractional calculus applied to model arterial viscoelasticity
Autor/es:
  • Craiem, Damian
  • Rojo Pérez, Francisco Javier
  • Atienza Riera, José Miguel
  • Guinea Tortuero, Gustavo V.
  • Armentano, Ricardo L.
Tipo de Documento: Artículo
Título de Revista/Publicación: Latin American Applied Research
Fecha: Abril 2008
Volumen: 38
Materias:
Palabras Clave Informales: Viscoelasticy, Stress-relaxation, Human arteries, Standard-linear solid, Fractional calculus.
Escuela: E.T.S.I. Caminos, Canales y Puertos (UPM)
Departamento: Ciencia de los Materiales
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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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ID de Registro: 2578
Identificador DC: http://oa.upm.es/2578/
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URL Oficial: http://www.scielo.org.ar/scielo.php?script=sci_issuetoc&pid=0327-079320080002&lng=en&nrm=iso
Depositado por: Memoria Investigacion
Depositado el: 09 Abr 2010 10:19
Ultima Modificación: 20 Abr 2016 12:14
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