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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Correction function for accuracy improvement of the Composite Smeared Finite Element for diffusive transport in biological tissue systems
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Correction function for accuracy improvement of the Composite Smeared Finite Element for diffusive transport in biological tissue systems

机译：用于改善生物组织系统中扩散扩散的复合涂抹有限元的精度的校正功能

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Modeling of drug transport within capillaries and tissue remains a challenge, especially in tumors and cancers where the capillary network exhibits extremely irregular geometry. Recently introduced Composite Smeared Finite Element (CSFE) provides a new methodology of modeling complex convective and diffusive transport in the capillary-tissue system. The basic idea in the formulation of CSFE is in dividing the FE into capillary and tissue domain, coupled by 1D connectivity elements at each node. Mass transport in capillaries is smeared into continuous fields of pressure and concentration by introducing the corresponding Darcy and diffusion tensors. Despite theoretically correct foundation, there are still differences in the overall mass transport to (and from) tissue when comparing smeared model and a true 3D model. The differences arise from the fact that the smeared model cannot take into account the detailed non-uniform pressure and concentration distribution in the vicinity of capillaries. We introduced a field of correction function for diffusivity through the capillary walls of smeared models, in order to have the same mass accumulation in tissue as in case of true 3D models. The parameters of the numerically determined correction function are as follows: ratio of thickness and diameter of capillary wall, ratio of diffusion coefficient in capillary wall and surrounding tissue; and volume fraction of capillaries within tissue domain. Partitioning at the capillary wall-blood interface can also be included. It was shown that the correction function is applicable to complex configurations of capillary networks, providing improved accuracy of our robust smeared models in computer simulations of real transport problems, such as in tumors or human organs. (C) 2018 Elsevier B.V. All rights reserved.
机译：毛细血管和组织内药物传输的模型仍然是一个挑战，特别是在毛细血管网络显示出极不规则几何形状的肿瘤和癌症中。最近推出的复合涂抹有限元（CSFE）提供了一种模拟毛细管组织系统中复杂对流和扩散传输的新方法。 CSFE公式的基本思想是将FE分为毛细管区和组织区，并在每个节点处通过一维连接元素进行耦合。通过引入相应的达西和扩散张量，毛细管中的物质传输被涂抹到压力和浓度的连续区域中。尽管在理论上有正确的基础，但在比较拖尾模型和真实3D模型时，总体质量向组织（或从组织）的传输仍然存在差异。差异源自以下事实：涂片模型无法考虑毛细管附近详细的不均匀压力和浓度分布。我们引入了通过弥散模型毛细血管壁扩散性的校正函数域，以便在组织中具有与真实3D模型相同的质量累积。数值确定的校正函数的参数如下：毛细血管壁的厚度和直径的比，毛细血管壁和周围组织中的扩散系数的比；组织区域内毛细管的体积分数。也可以包括在毛细管壁-血液界面处的分区。结果表明，校正功能适用于复杂的毛细管网络配置，可在对诸如肿瘤或人体器官之类的实际运输问题进行计算机模拟时，提高我们强大的拖尾模型的准确性。 （C）2018 Elsevier B.V.保留所有权利。

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