Numerical calculations for effects of structure of skeletal muscle on frequency-dependence of its electrical admittance and impedance

Numerical calculations for effects of structure of skeletal muscle on frequency-dependence of its electrical admittance and impedance
复制标题

骨骼肌结构对其电导纳和阻抗频率依赖性影响的数值计算

DOI:
10.1088/0022-3727/48/25/255401
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发表时间:
2015
期刊:
Journal of Physics D: Applied Physics
影响因子:
--
通讯作者:
K. Asami
K. Asami
中科院分区:
--
文献类型:
--
作者:
K. Sekine;Ayumi Yamada;Hitomi Kageyama;T. Igarashi;N. Yamamoto;K. Asami

文献摘要

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利用三维模型,用有限差分方法进行了数值计算,考察了骨骼肌结构对其横向和纵向电导纳Y和阻抗Z的频率依赖性的影响。在模型中,肌肉细胞被一个被光滑表面膜包围的矩形实体表示,并假设细胞是周期性分布的。改变了细胞横截面的宽度、细胞间介质的厚度以及细胞内部、细胞间介质和表面膜的相对介电常数和电导率。根据计算结果,分析了从1 khz到1 mhz的肌肉Y和Z的报道变化。分析表明,细胞半径的减小可以合理地解释幼年大鼠、慢性坐骨神经挤压大鼠和肌萎缩侧索硬化症(ALS)小鼠肌肉的Y和Z。坐骨神经损伤急性期Y和Z的变化与细胞半径减小、细胞间距增大、细胞表面膜介电常数增加和细胞内部电导率增加有关。细胞收缩引起的Z的变化可以用细胞半径的变化以及细胞内部和细胞间介质的电导率的变化来解释。比较了肉在陈化过程中Z值的变化与表面膜电导率增加的影响。
Numerical calculations were carried out by the finite difference method using three-dimensional models to examine effects of the structure of skeletal muscle on the frequency-dependence of its electrical admittance Y and impedance Z in transversal and longitudinal directions. In the models, the muscle cell was represented by a rectangular solid surrounded by a smooth surface membrane, and the cells were assumed to be distributed periodically. The width of the cross section of the cell, thickness of the intercellular medium, and the relative permittivities and the conductivities of the cell interior, the intercellular medium and the surface membrane were changed. Based on the results of the calculations, reported changes in Y and Z of the muscles from 1 kHz to 1 MHz were analyzed. The analyses revealed that a decreased cell radius was reasonable to explain the Y and Z of the muscles of immature rats, rats subjected to sciatic nerve crush at chronic stage and the amyotrophic lateral sclerosis (ALS) mice. Changes in Y and Z due to the sciatic nerve crush at acute stage were attributable to the decreased cell radius, the increased space between the cells, the increased permittivity of the surface membrane and the increased conductivity of the cell interior. The changes in Z due to contraction were explained by the changes in the cell radius, and the conductivities of the cell interior and the intercellular medium. The changes in Z of meat due to aging were compared with the effects of the increase in the conductivity of the surface membrane.