Parameterisation of multi-scale continuum perfusion models from discrete vascular networks.
Parameterisation of multi-scale continuum perfusion models from discrete vascular networks.
复制标题
来自离散血管网络的多尺度连续灌注模型的参数化。
DOI：
10.1007/s11517-012-1025-2
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发表时间：
2013-05
影响因子：
3.2
通讯作者：
Smith, Nicolas P.
中科院分区：
文献类型：
--
作者：
Hyde, Eoin R.;Michler, Christian;Lee, Jack;Cookson, Andrew N.;Chabiniok, Radek;Nordsletten, David A.;Smith, Nicolas P.
实验数据和先进的成像技术越来越多地使从生物组织中提取详细的血管解剖结构成为可能。由于不同的血管密度和不同的半径尺度，将解剖学数据合并到灌流模型中并不是一件容易的事情。此外，以前的理想化网络假设了一个空间重复的模体或周期性的规范单元，从而允许通过均化来实现流动解。然而，这种周期性并不是在整个解剖网络中都能观察到的。在这项研究中，我们应用不同的空间平均方法离散血管几何，以参数的连续模型的灌流。具体地说，多室达西模型被用来为流体流动提供血管尺度分离。渗透率张量场来自合成和解剖现实网络，使用(1)孔隙率尺度的各向同性，(2)Huyghe和Van Campen.和(3)投影-PCA方法。达西压力场通过均方根误差度量与同一区域上的平均Poiseuille压力解进行了比较。Huyghe和Van Campen的方法在所有模拟中都优于其他两种方法，即使对于相对较粗的网络也是如此。此外，使用单位压力差的空间平均离散通量确定的舱间体积通量场在一定范围的压力边界条件下是准确的。这项工作证明了应用连续体流模型来表征由基础血管网络中的流动引起的灌流是合理的。
Experimental data and advanced imaging techniques are increasingly enabling the extraction of detailed vascular anatomy from biological tissues. Incorporation of anatomical data within perfusion models is non-trivial, due to heterogeneous vessel density and disparate radii scales. Furthermore, previous idealised networks have assumed a spatially repeating motif or periodic canonical cell, thereby allowing for a flow solution via homogenisation. However, such periodicity is not observed throughout anatomical networks. In this study, we apply various spatial averaging methods to discrete vascular geometries in order to parameterise a continuum model of perfusion. Specifically, a multi-compartment Darcy model was used to provide vascular scale separation for the fluid flow. Permeability tensor fields were derived from both synthetic and anatomically realistic networks using (1) porosity-scaled isotropic, (2) Huyghe and Van Campen, and (3) projected-PCA methods. The Darcy pressure fields were compared via a root-mean-square error metric to an averaged Poiseuille pressure solution over the same domain. The method of Huyghe and Van Campen performed better than the other two methods in all simulations, even for relatively coarse networks. Furthermore, inter-compartment volumetric flux fields, determined using the spatially averaged discrete flux per unit pressure difference, were shown to be accurate across a range of pressure boundary conditions. This work justifies the application of continuum flow models to characterise perfusion resulting from flow in an underlying vascular network.
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影响因子：
2.4
作者：
Cookson AN;Lee J;Michler C;Chabiniok R;Hyde E;Nordsletten DA;Sinclair M;Siebes M;Smith NP
通讯作者：
Smith NP
DOI：
10.1098/rsta.2008.0311
发表时间：
2009-06-13
影响因子：
5
作者：
Lee, Jack;Niederer, Steven;Smith, Nicolas
通讯作者：
Smith, Nicolas
影响因子：
--
作者：
HUYGHE, JM;ARTS, T;RENEMAN, RS
通讯作者：
RENEMAN, RS
影响因子：
2.1
作者：
Liao, Rui;Luc, Duong;Kirchberg, Klaus
通讯作者：
Kirchberg, Klaus
影响因子：
2.5
作者：
Sands, GB;Gerneke, DA;Legrice, IJ
通讯作者：
Legrice, IJ