The mechanical bidomain model is a mathematical description of the elastic properties of cardiac tissue. The unique feature of the bidomain model is that it is a macroscopic continuum representation of tissue that nevertheless accounts for the intracellular and extracellular spaces individually, thereby focusing on mechanical forces arising across the cell membrane. In this paper, the mechanical bidomain model describes a two-dimensional sheet of cardiac tissue undergoing a uniform active tension. At the boundary, the tissue sheet is free to move. Analytical solutions are found for the intracellular and extracellular displacements and pressures. The model predicts that membrane forces, which may be responsible for phenomena such as mechanotransduction and remodeling, are large near the tissue boundary, and fall off rapidly with distance from the boundary.

中文翻译：

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机械双域模型预测的边界层和膜力分布

机械双域模型是心脏组织弹性特性的数学描述。双域模型的独特之处在于它是组织的宏观连续体表示，但仍单独考虑细胞内和细胞外空间，从而专注于跨细胞膜产生的机械力。在本文中，机械双域模型描述了一个二维的心脏组织，承受均匀的主动张力。在边界处，薄纸可以自由移动。找到了细胞内和细胞外位移和压力的分析解决方案。该模型预测，可能导致机械传导和重塑等现象的膜力在组织边界附近很大，