Modelling effective dielectric properties of materials containing diverse types of biological cells

Modelling effective dielectric properties of materials containing diverse types of biological cells
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DOI:
10.1088/0022-3727/43/36/365405
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发表时间:
2010-09-15
影响因子:
3.4
通讯作者:
Froehlich, Juerg
Froehlich, Juerg
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Huclova, Sonja;Erni, Daniel;Froehlich, Juerg

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一个有效的和通用的数值方法,用于生成不同的逼真形状的生物细胞的开发。该框架用于计算包含特定类型生物细胞的材料的介电谱。为了生成细胞的数值模型,应用基于所谓的超公式的灵活参数化方法,包括获得非轴对称形状(例如盒形细胞)和对应于棘细胞的形状的选项。计算了含有不同胞形的有效介质的介电谱,着重研究了谱特征与胞形的关系。数值方法进行了验证,通过比较一个模型的球形夹杂物在一个低的体积分数与解析解得到的Maxwell-Garnett混合公式,产生良好的协议。我们对不同细胞形状的模拟数据表明,在1 MHz左右,不同体积分数的不同细胞形状的有效介电特性显着偏离球形的情况。最明显的变化表现出的EFF(eff)之间的0.1和1 MHz的偏差高达35%的盒形细胞和15%的棘细胞相比,在体积分数为0.4的球体。这阻碍了独特的解释时,使用简化的材料模型的介电谱测量的细胞功能的变化。
An efficient and versatile numerical method for the generation of different realistically shaped biological cells is developed. This framework is used to calculate the dielectric spectra of materials containing specific types of biological cells. For the generation of the numerical models of the cells a flexible parametrization method based on the so-called superformula is applied including the option of obtaining non-axisymmetric shapes such as box-shaped cells and even shapes corresponding to echinocytes. The dielectric spectra of effective media containing various cell morphologies are calculated focusing on the dependence of the spectral features on the cell shape. The numerical method is validated by comparing a model of spherical inclusions at a low volume fraction with the analytical solution obtained by the Maxwell-Garnett mixing formula, resulting in good agreement. Our simulation data for different cell shapes suggest that around 1 MHz the effective dielectric properties of different cell shapes at different volume fractions significantly deviate from the spherical case. The most pronounced change exhibits epsilon(eff) between 0.1 and 1 MHz with a deviation of up to 35% for a box-shaped cell and 15% for an echinocyte compared with the sphere at a volume fraction of 0.4. This hampers the unique interpretation of changes in cellular features measured by dielectric spectroscopy when simplified material models are used.