Physical and geometric determinants of transport in feto-placental microvascular networks: Supplementary Datasets

The raw geometric data of Specimen 1 is given in the files Specimen1_Vasculature.stl and Specimen1_Villi.stl. The geometries can be previewed in 3D by clicking on the file names. Further raw villous geometries are available upon request.<br>The files with "N_" in the filename are for computation of the advective-diffusive transport at varying inlet-outlet pressure drops. To evaluate these files, first one must run the flow study, after that the transport study, as the latter uses solutions of the former.<br>The files with "Nmax_" in their fine name are for calculation of the transport capacity, which is purely a diffusion problem. These files can be evaluated simply by running the transport study.<br>The simulations in files "...N_HIGHRES" and "Nmax_HIGHRES" underly Fig. 4, Fig. S3 and Fig. 5A&amp;B. In particular, the geometry is sliced into nine distinct capillaries shown in Fig. 4. To evaluate the fluxes of individual capillaries correctly (and to account for solute concentration boundary layers, should they arise) the pre-programmed mesh settings are at a high resolution: Mesh1 (Stokes problem) has approx. 3mio tetrahedral elements, Mesh 2 (Transport problem) approx. 60mio tetrahedral elements. See details in the supplementary information.<br>The simulations in files "...N_original" and "Nmax_original" (8 in total) underly Figs 2 &amp; 3. The purpose of these files is to calculate transport across an entire network, which is why they do not require as high a resolution: The Stokes meshes have approximately 300k tetrahedral elements and the transport meshes between 3mio and 12mio elements. <br>All Comsol files which do <i>not</i> include "with_solutions" in their file name are saved with compact history, and all meshes and solutions are cleared. For easier reproducibility, the two files marked "with_solutions" contain meshes and solutions, so in order to reproduce the blue curves in Fig. 2 and most of the results of the supplementary information, one can directly evaluate the solutions stored in the "with_solutions" files. <br>Code that creates Fig. 5 is contained in "Fig5-dicrete-network-model_figshare.zip". To produce all the subparts of Fig. 5, run the Mathematica file "Fig5-discrete_network_model.nb" from top to bottom (Evaluation-&gt;Evaluate Notebook). It requires an instllation of Matlab and a link between Mathematica and Matlab to be established via MatLink (http://matlink.org/).

Specimen 1的原始几何数据存储于文件Specimen1_Vasculature.stl与Specimen1_Villi.stl中。用户可点击文件名，在三维视图中预览该几何模型。若需更多原始绒毛几何数据，可联系获取。<br>文件名包含"N_"的文件用于计算不同进出口压降下的对流扩散输运过程。需注意，此类文件需先完成流场仿真，再开展输运仿真，因为输运仿真需调用流场仿真的求解结果。<br>文件名包含"Nmax_"的文件用于计算输运能力，该过程仅为纯扩散问题，仅需运行输运仿真即可完成计算。<br>文件名包含"…N_HIGHRES"与"Nmax_HIGHRES"的仿真对应图4、补充材料图S3以及图5A、B。具体而言，该几何模型被切分为9个独立毛细血管（见图4）。为准确计算单个毛细血管的通量（并在出现溶质浓度边界层时予以考虑），预定义的网格设置采用高分辨率：网格1（斯托克斯Stokes问题）包含约300万四面体单元，网格2（输运问题）包含约6000万四面体单元。详细设置参见补充材料。<br>文件名包含"…N_original"与"Nmax_original"的仿真文件共8个，对应图2与图3。此类文件用于计算完整网络的输运过程，因此无需过高的网格分辨率：斯托克斯网格约含30万个四面体单元，输运网格的单元数介于300万至1200万之间。<br>所有文件名中不含"with_solutions"的Comsol文件均采用精简历史格式保存，且已清除所有网格与求解结果。为便于复现实验，两个标注为"with_solutions"的文件包含完整网格与求解结果。若要复现图2中的蓝色曲线以及补充材料中的大部分结果，可直接读取"with_solutions"文件中存储的求解结果。<br>生成图5的代码存储于"Fig5-dicrete-network-model_figshare.zip"中。若要生成图5的所有子图，请按顺序运行Mathematica文件"Fig5-discrete_network_model.nb"（操作路径：Evaluation→Evaluate Notebook）。该代码需要安装Matlab，并通过MatLink（http://matlink.org/）建立Mathematica与Matlab之间的连接。