Nowadays, adequate and accurate representation of the microvascular flow resistance constitutes one of the major challenges in computational haemodynamic studies. In this work, a theoretical, porous media framework, ultimately designed for representing downstream resistance, is presented and compared against an in vitro experimental results. The resistor consists of a poro-elastic tube, with either a constant or variable porosity profile in space. The underlying physics, characterizing the fluid flow through the porous media, is analysed by considering flow variables at different network locations. Backward reflections, originated in the reservoir of the in vitro model, are accounted for through a reflection coefficient imposed as an outflow network condition. The simulation results are in good agreement with the measurements for both the homogenous and heterogeneous porosity conditions. In addition, the comparison allows identification of the range of values representing experimental reservoir reflection coefficients. The pressure drops across the heterogeneous porous media increases with respect to the simpler configuration, whilst flow remains almost unchanged. The effect of some fluid network features, such as tube Young’s modulus and fluid viscosity, on the theoretical results is also elucidated, providing a reference for the $\mathit{in}\mathit{vitro}$ and $\mathit{in}\mathit{silico}$ simulation of different microvascular conditions.

如今，对微血管流阻的充分，准确的表示是计算血液动力学研究的主要挑战之一。在这项工作中，提出了一种最终为代表下游阻力而设计的理论多孔介质框架，并将其与体外实验结果进行了比较。电阻器由孔隙弹性管组成，在空间中孔隙率分布恒定或可变。通过考虑不同网络位置的流量变量，分析了表征通过多孔介质的流体流动的基本物理原理。向后反射，起源于体外储层模型，是通过作为流出网络条件施加的反射系数来说明的。模拟结果与均质和非均质孔隙度条件下的测量结果吻合良好。另外，该比较允许识别代表实验储层反射系数的值的范围。相对于较简单的构造，跨非均质多孔介质的压降增加，而流量几乎保持不变。还阐明了某些流体网络特征（例如管的杨氏模量和流体粘度）对理论结果的影响，从而为$\mathit{在}\mathit{体外}$ 和 $\mathit{在}\mathit{硅片}$ 模拟不同的微血管状况。