A fast numerical method for oxygen supply in tissue with complex blood vessel network.
A fast numerical method for oxygen supply in tissue with complex blood vessel network.
复制标题
复杂血管网络组织供氧的快速数值方法
DOI：
10.1371/journal.pone.0247641
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发表时间：
2021
期刊：
影响因子：
3.7
通讯作者：
Ying W
中科院分区：
文献类型：
--
作者：
Lu Y;Hu D;Ying W
氧场评估在动物许多重要的生理过程的建模和模拟中具有重要意义，例如血管生成。然而，动物组织中氧场的数值模拟通常受到不同机制的异常耦合、模型的非线性以及精细血管网络的复杂几何形状的限制。在这项工作中，设计了一种快速的数值方法，用于模拟大规模复杂血管网络中的组织供氧。该方法采用隐式有限差分格式计算氧气场。通过从容器中心线到网格点的氧源分布技术和相应的后处理技术，消除了氧源分布引起的局部数值误差，可以在保持足够的数值精度的同时，采用较大网格尺寸的正方形网格。新方法的计算复杂度相对于网格点数略高于线性，收敛阶相对于网格大小略低于二阶。例如，用我们的新方法可以在一分钟内准确地计算出由四千多条血管组成的血管网络灌溉的组织的氧场。这一新方法必将促进基于氧场评价的进一步研究，如血管生成的建模和多种心血管疾病的发病机制研究。
Oxygen field evaluation is important in modeling and simulation of many important physiological processes of animals, such as angiogenesis. However, numerical simulation of the oxygen field in animal tissue is usually limited by the unusual coupling of different mechanisms, the nonlinearity of the model, and the complex geometry of refined blood vessel networks. In this work, a fast numerical method is designed for the simulation of oxygen supply in tissue with a large-scale complex vessel network. This method employs an implicit finite-difference scheme to compute the oxygen field. By virtue of an oxygen source distribution technique from vessel center lines to mesh points and a corresponding post-processing technique that eliminate the local numerical error induced by source distribution, square mesh with relatively large mesh sizes can be applied while sufficient numerical accuracy is maintained. The new method has computational complexity which is slightly higher than linear with respect to the number of mesh points and has a convergence order which is slightly lower than second order with respect to the mesh size. As an example, the oxygen field of a tissue irrigated by a blood vessel network with more than four thousand blood vessels can be accurately computed within one minute with our new method. The new method will definitely promote further researches based on evaluation of oxygen field, such as modeling of angiogenesis and pathogenesis of many cardiovascular diseases.
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影响因子：
2
作者：
Bartha, K.;Rieger, H.
通讯作者：
Rieger, H.
DOI：
10.1002/cnm.2661
发表时间：
2014-11-01
影响因子：
2.1
作者：
Cattaneo, L.;Zunino, P.
通讯作者：
Zunino, P.
影响因子：
2.1
作者：
Funk, RHW
通讯作者：
Funk, RHW
影响因子：
5.5
作者：
Krogh, A
通讯作者：
Krogh, A
影响因子：
4.3
作者：
HSU, R;SECOMB, TW
通讯作者：
SECOMB, TW