论文标题

石墨:结合Fenics和NetworkX以模拟复杂网络中的流动

Graphnics: Combining FEniCS and NetworkX to simulate flow in complex networks

论文作者

Gjerde, Ingeborg G.

论文摘要

网络模型有助于廉价的模拟,但需要仔细处理分叉条件。我们在这里提出了石墨库,该图书馆将Fenics与NetworkX相结合,以使用有限元方法来促进网络模拟。石墨特征(i)构建在网络Digraph类顶部的FenicsGraph类,该类别为网络构造了全局网格,并提供了Fenics网格函数,描述了它们与图形结构的关系。 (ii)示例模型显示了如何使用FenicsGraph类来组装和求解不同的网络流模型。 (iii)演示显示,例如如何在复杂的生物网络上运行模拟。有趣的是,结果表明,以实验数据为基于实验数据的提议,结果模仿为行进正弦波建模的血管症能够将净血管周围流体流经动脉树驱动。

Network models facilitate inexpensive simulations, but require careful handling of bifurcation conditions. We here present the graphnics library, which combines FEniCS with NetworkX to facilitate network simulations using the finite element method. Graphnics features (i) a FenicsGraph class built on top of the NetworkX DiGraph class, that constructs a global mesh for a network and provides FEniCS mesh functions describing how they relate to the graph structure. (ii) Example models showing how the FenicsGraph class can be used to assemble and solve different network flow models. (iii) Demos showing e.g. how to run simulations on complex biological networks. Interestingly, the results show that vasomotion modelled as a travelling sinusoidal wave is capable of driving net perivascular fluid flow through an arterial tree, as has been proposed based on experimental data.

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