A mathematical model of intestinal oedema formation.
A mathematical model of intestinal oedema formation.
复制标题
肠水肿形成的数学模型。
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Karen Uray
中科院分区：
文献类型：
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作者：
Jennifer Young;B. Rivière;C. Cox;Karen Uray
肠水肿是指在肠壁组织的间隙中积聚过量液体的医学病症。已知肠水肿会导致由平滑肌收缩性降低引起的肠道运输减少，这可能导致患者的许多医疗问题。迄今为止，间质体积调节已经用常微分方程或用偏微分方程系统建模，其中体积变化仅取决于当前压力而不取决于更新的组织应力。在这项工作中，我们提出了一个计算，肠水肿形成的偏微分方程模型，克服了过去工作的局限性，提出了一个全面的模型的现象。该模型包括质量和动量平衡方程，其给出了间质压力、肠体积变化和应力的时间演变。该模型还考虑了肠组织的空间变化的机械特性和产生水肿的液体泄漏毛细血管的不均匀分布。肠壁被建模为一个多层的，变形的，多孔弹性介质，和方程组的求解使用间断伽辽金方法。为了验证该模型，模拟结果进行了比较，从四个实验方案的结果。还提供了敏感性分析。该模型能够捕获所有四个实验病例的最终粘膜下间质压力和总液体体积变化，并进一步了解这些量在肠壁中的分布。
Intestinal oedema is a medical condition referring to the build-up of excess fluid in the interstitial spaces of the intestinal wall tissue. Intestinal oedema is known to produce a decrease in intestinal transit caused by a decrease in smooth muscle contractility, which can lead to numerous medical problems for the patient. Interstitial volume regulation has thus far been modelled with ordinary differential equations, or with a partial differential equation system where volume changes depend only on the current pressure and not on updated tissue stress. In this work, we present a computational, partial differential equation model of intestinal oedema formation that overcomes the limitations of past work to present a comprehensive model of the phenomenon. This model includes mass and momentum balance equations which give a time evolution of the interstitial pressure, intestinal volume changes and stress. The model also accounts for the spatially varying mechanical properties of the intestinal tissue and the inhomogeneous distribution of fluid-leaking capillaries that create oedema. The intestinal wall is modelled as a multi-layered, deforming, poroelastic medium, and the system of equations is solved using a discontinuous Galerkin method. To validate the model, simulation results are compared with results from four experimental scenarios. A sensitivity analysis is also provided. The model is able to capture the final submucosal interstitial pressure and total fluid volume change for all four experimental cases, and provide further insight into the distribution of these quantities across the intestinal wall.
影响因子：
5.5
作者：
Collinsworth, AM;Zhang, S;Truskey, GA
通讯作者：
Truskey, GA