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Modelling and direct numerical simulation of flow and solute dispersion in the spinal subarachnoid space

机译：脊髓瘤空间中流动溶质分散的建模与直接数值模拟

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摘要

The motion of the cerebrospinal fluid in the spinal subarachnoid space, a slender annular canal surrounding the spinal cord, exhibits an oscillatory velocity component driven by the pressure oscillations induced by the cardiac and respiratory cycles. A time-averaged transport equation has been recently proposed for describing solute transport along the canal, circumventing the need to compute the concentration fluctuations resulting from this fast oscillatory motion. The accuracy and limitations of this time-averaged description are tested here by means of comparisons with results of direct numerical simulations spanning hundreds of oscillation cycles, as needed to generate significant dispersion of the solute. The comparisons between the numerical results and the predictions of the analytical model include velocity fields and quantifications of transient solute-dispersion events for selected values of the flow parameters and two different idealized, canonical geometries of the spinal canal. The comparisons clearly demonstrate the accuracy of the time-averaged description of the analytical model, which is seen to provide a good fidelity at a fraction of the computational cost involved in the direct numerical simulations. The variations of canal eccentricity along the spinal canal are found to play an important role in the dynamics of the solute transport, leading to the emergence of closed recirculating La-grangian vortices that may hinder solute dispersion along the canal, as revealed by both direct numerical simulations and time-averaged results.
机译：脑脊液在脊柱蛛网膜下腔中的运动，脊髓周围围绕脊髓的细长环形管道，具有由心脏和呼吸循环引起的压力振荡驱动的振荡速度分量。最近已经提出了一种时间平均传送方程用于描述沿线旋转运输，规避需要计算由这种快速振荡运动产生的浓度波动。此处通过与跨越数百个振荡循环的直接数值模拟的结果进行比较来测试该时间平均描述的准确性和限制，根据需要产生数百个振荡循环的结果以产生溶质的显着分散。分析模型的数值结果和预测之间的比较包括用于流动参数的所选值的瞬态溶质色散事件的速度场和瞬态溶质色散事件的量化和椎管的两个不同理想的，规范几何形状。比较清楚地证明了分析模型的时间平均描述的准确性，这被认为以直接数值模拟所涉及的计算成本的一小部分提供良好的保真度。发现沿脊柱管沿脊柱管道的偏心率的变化在溶质转运的动态中起重要作用，导致闭合循环的La-Grangian涡流的出现，这可能阻碍沿线溶质分散的溶质分散，如直接数值所透露的模拟和时间平均结果。

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  • 来源
    《Applied Mathematical Modelling》 |2021年第6期|516-533|共18页
  • 作者

    C. Gutierrez-Montes; W. Coenen; J.J. Lawrence; C. Martinez-Bazan; A.L. Sanchez; J.C. Lasheras;

  • 作者单位

    Area de Mecanka de Fluidos Depanamento de Ingenieria Mecanka y Minera Universidad dejaen Campus de las Lagunillas Jaen 23071 Spain;

    Grupo de Mecanka de Fluidos Depanamento de lngenieria Termica y de Fluidos Universidad Carlos Ⅲ de Madrid Leganes 28911 Spain;

    Department of Mechanical and Aerospace Engineering University of California San Diego USA;

    Area de Mecanka de Fluidos Depanamento de Ingenieria Mecanka y Minera Universidad dejaen Campus de las Lagunillas Jaen 23071 Spain Area de Mecanka de Fluidos Depanamento de Mecanka de Estructuras e lngenieria Hidraulica Universidad de Granada Campus Fuentenueva s/n Granada 18071 Spain Andalusian Institute for Eanh System Research Universidad de Jaen Campus de las Lagunillas Jaen 23071 Spain;

    Department of Mechanical and Aerospace Engineering University of California San Diego USA;

    Department of Mechanical and Aerospace Engineering University of California San Diego USA Department of Bioengineering University of California San Diego USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Cerebrospinal fluid; Spinal canal; Intrathecal drug delivery;

    机译：脑脊液;椎管;鞘内药物递送;

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