A fractional approach to 3D artery simulation under a regular pulse load

DOI10.3934/MBE.2020138zbMath1470.92099OpenAlexW3008904372WikidataQ90792116 ScholiaQ90792116MaRDI QIDQ2050043

Yanyan Li

Publication date: 27 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2020138

zbMATH Keywords

fractionalbiomechanicssoft tissueshyperelasticZener

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Biomechanics (92C10) Physiological flow (92C35)

Cites Work

• On the numerical handling of fractional viscoelastic material models in a FE analysis
• Constitutive framework for the modeling of damage in collagenous soft tissues with application to arterial walls
• Fractional calculus models of complex dynamics in biological tissues
• Three-dimensional biomechanics of coronary arteries
• Nonlinear biomechanics of bifurcated atherosclerotic coronary arteries
• A general finite element formulation for fractional variational problems
• Constitutive modelling of arteries
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• A new constitutive framework for arterial wall mechanics and a comparative study of material models

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