生物组织中氧运输的均匀化
Homogenization of oxygen transport in biological tissues
摘要：
在本文中，我们扩展了以前关于生物组织中氧运输的数学建模的工作（Matzavinos等人，2009年）。具体而言，我们包括在建模过程中的动脉和静脉组织内的微观结构，通过均质化技术。我们专注于在（Matzavinos等人，2009）在通常用于重建手术的腹部组织瓣的背景下。我们采用两个尺度的收敛方法和展开算子技术来均匀化所开发的微观模型，该模型涉及两个不同的组织层（皮肤层和脂肪组织）中不同的单位细胞几何形状，以考虑不同的动脉分支模式。
英文摘要：
In this paper, we extend previous work on the mathematical modeling of oxygen transport in biological tissues (Matzavinos et al., 2009). Specifically, we include in the modeling process the arterial and venous microstructure within the tissue by means of homogenization techniques. We focus on the two-layer tissue architecture investigated in (Matzavinos et al., 2009) in the context of abdominal tissue flaps that are commonly used for reconstructive surgery. We apply two-scale convergence methods and unfolding operator techniques to homogenize the developed microscopic model, which involves different unit-cell geometries in the two distinct tissue layers (skin layer and fat tissue) to account for different arterial branching patterns.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
