论文标题
3D-1D耦合的血流和氧运输模型，以产生微血管网络
A 3D-1D coupled blood flow and oxygen transport model to generate microvascular networks
论文作者
论文摘要
在这项工作中，我们引入了一种算法方法，以从可以重建的较大容器开始生成微血管网络，而无需明显的分割错误。与较大的容器相反，微血管网络的细尺度组件的重建显示出明显的分割误差，并且准确的映射是时间和成本紧张。因此，需要快速可靠的重建算法产生与原始属性相似的随机属性的替代网络。微血管网络是通过从上一步中添加到血管树的出口到血管树的插座的行进方式来构建的。为了优化血管树的结构，我们使用Murray定律来确定血管和分叉角的半径。在每个步骤中，我们计算氧气的局部压力的局部梯度，并将新容器的方向适应该梯度。同时，我们使用氧气的部分压力来检查所考虑的组织块是否充分提供了氧气。计算氧气的二压，我们使用3D-1D耦合模型进行血流和氧气传输。为了降低完全耦合的3D模型的复杂性，我们将血管网络降低到1D图结构，并使用双向耦合与组织的双向耦合，该组织由3D均匀的多孔培养基描述。根据形态和生理方面分析了由此产生的替代网络。
In this work, we introduce an algorithmic approach to generate microvascular networks starting from larger vessels that can be reconstructed without noticeable segmentation errors. Contrary to larger vessels, the reconstruction of fine-scale components of microvascular networks shows significant segmentation errors, and an accurate mapping is time and cost intense. Thus there is a need for fast and reliable reconstruction algorithms yielding surrogate networks having similar stochastic properties as the original ones. The microvascular networks are constructed in a marching way by adding vessels to the outlets of the vascular tree from the previous step. To optimise the structure of the vascular trees, we use Murray's law to determine the radii of the vessels and bifurcation angles. In each step, we compute the local gradient of the partial pressure of oxygen and adapt the orientation of the new vessels to this gradient. At the same time, we use the partial pressure of oxygen to check whether the considered tissue block is supplied sufficiently with oxygen. Computing the partial pressure of oxygen, we use a 3D-1D coupled model for blood flow and oxygen transport. To decrease the complexity of a fully coupled 3D model, we reduce the blood vessel network to a 1D graph structure and use a bi-directional coupling with the tissue which is described by a 3D homogeneous porous medium. The resulting surrogate networks are analysed with respect to morphological and physiological aspects.
