Sensitivity analysis of permeability parameters of bovine nucleus pulposus obtained through inverse fitting of the nonlinear biphasic equation: effect of sampling strategy

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    Abstract

    Permeability controls the fluid flow into and out of soft tissue, and plays an important role in maintaining the health status of such tissue. Accurate determination of the parameters that define permeability is important for the interpretation of models that incorporate such processes. This paper describes the determination of strain-dependent permeability parameters from the nonlinear biphasic equation from experimental data of different sampling frequencies using the Nelder–Mead simplex method. The ability of this method to determine the global optimum was assessed by constructing the whole manifold arising from possible parameter combinations. Many parameter combinations yielded similar fits with the Nelder–Mead algorithm able to identify the global maximum within the resolution of the manifold. Furthermore, the sampling strategy affected the optimum values of the permeability parameters. Therefore, permeability parameter estimations arising from inverse methods should be utilised with the knowledge that they come with large confidence intervals.
    Original languageEnglish
    Pages (from-to)29-36
    Number of pages8
    JournalComputer Methods in Biomechanics and Biomedical Engineering
    Volume15
    Issue number1
    Early online date13 Jul 2011
    DOIs
    Publication statusPublished - 2012

    Keywords

    • sensitivity analysis
    • permeability
    • parameters
    • bovine nucleus pulposus
    • inverse
    • nonlinear biphasic equation
    • intervertebral disc
    • poroelastic
    • articular cartilage

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