Importance of experimental evaluation of structural parameters for constitutive modelling of aorta

Fischer, Jiří; Turčanová, Michaela; Man, Vojtěch; Hermanová, Markéta; Bednařík, Zdeněk; Burša, Jiří

doi:10.1016/j.jmbbm.2022.105615

Cited by 5 publications

(3 citation statements)

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“…6: Distribution of waviness λ within a fibre family (from Martufi & Gasser, 2011). model ensuring the isotropic strain stiffening and having all fibres close to the circumferential direction in accordance with histological results (Fischer et al, 2023).…”

Section: Contradictions Of Models With Experimentsmentioning

confidence: 71%

“…Unfortunately, the above models still suffer from a lack of experimental data on collagen fibre arrangement. If mechanical data are fitted without histological information (with the parameters of collagen fibre directions being calibrated from mechanical response), they give either nearly diagonal fibre arrangement (HGO model) or nearly isotropic fibre distribution (GOH model with =1/3), both being in contradiction to histology (Fischer et al, 2023). In contrast, if histological data on fibre arrangement are given, the models are not capable to reach an acceptable fit of mechanical data.…”

Section: Contradictions Of Models With Experimentsmentioning

confidence: 99%

“…In contrast, for the single family of sinusoidal fibres with the same local angles, the numerical integration along the curve length gives the limit stretch value for fibre straightness only λ0=1.22 (see Kratochvíl 2020). The related histograms are completed with fibre angles of 40° and 50°, obtained typically when fitting the GOH or HGO models to experimental data without histological information on fibre directions (Haskett et al, 2010;Fischer et al, 2023;Schriefl et al, 2012). The limit stretches λ0 for the angles of 40° and 50° are 1.31 and 1.56 for helical fibres and 1.16 and 1.29 for wavy fibres, respectively.…”

Section: Fig 8: the Top Row Shows Idealized Arrangement Of Collagen F...mentioning

confidence: 99%

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Anisotropy of soft biological tissues and its consideration in constitutive models of arteries

Burša¹,

Hrubanová²,

Skácel³

et al. 2023

Engineering Mechanics

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Biomechanical computational models used more and more in medical research as well as in clinical applications need mathematical description of soft tissues with their very complex mechanical behaviour. They show large deformations with stress softening during cyclic loading, being moreover time-dependent due to their viscoelasticity, anisotropic due to fibrous structure and dependent on tissue excitation in case of muscular tissues, including smooth muscle cells in arterial walls. They are capable to adapt to the acting load (tissue remodelation) and to self-repair (healing) in case of damage or failure (rupture of fibres, etc.) This paper deals with constitutive description of passive elastic response of soft tissues to the acting load and with the ways, how the anisotropic structure of the tissue can be reflected. For this purpose, the spatial arrangement of fibres in the tissue needs to be detected and mathematically described. Lack of data on fibre arrangement in soft tissues and their interpatient variability is a major limiting factor for anisotropic constitutive description of soft tissues. Some problems related to transformation of results of mechanical tests and histological analyses of arterial tissues into parameters applicable in constitutive models are addressed as well.

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Section: Contradictions Of Models With Experimentsmentioning

confidence: 71%

Section: Contradictions Of Models With Experimentsmentioning

confidence: 99%