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Incremental formulations in vascular mechanics.

R N Vaishnav, J Vossoughi

    Journal of Biomechanical Engineering
    |May 1, 1984
    PubMed
    Summary
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    This study clarifies incremental elastic moduli for vascular tissue, addressing ambiguities in characterizing arterial wall mechanics. It offers formulas for interconverting moduli from uniaxial tests on incompressible tissue.

    Area of Science:

    • Biomechanics
    • Biomaterials Science
    • Cardiovascular Research

    Background:

    • Arterial walls experience large deformations with superimposed small, pulsatile changes.
    • Characterizing these incremental deformations is crucial for understanding vascular mechanics.
    • Existing literature presents ambiguity in defining incremental elastic moduli due to varied stress-strain definitions.

    Purpose of the Study:

    • To systematically present options for characterizing orthotropic incremental deformations of vascular tissue.
    • To provide explicit formulas for interconverting incremental elastic moduli.
    • To discuss the relative merits of different characterization choices.

    Main Methods:

    • Analysis of incremental deformations in vascular tissue.

    Related Experiment Videos

  • Formulation of interconversion formulas for elastic moduli.
  • Evaluation of moduli based on uniaxial tests of incompressible tissue strips.

    • Main Results:

    • A systematic framework for characterizing orthotropic incremental deformations is presented.
    • Explicit formulas for interconverting incremental elastic moduli are derived.
    • The relative advantages and disadvantages of different moduli choices are discussed.

    Conclusions:

    • The study reduces ambiguity in the characterization of vascular tissue's incremental elastic moduli.
    • Provides practical tools (interconversion formulas) for researchers.
    • Facilitates more consistent and accurate biomechanical analysis of arteries.