Analytical description of the transmembrane voltage induced on arbitrarily oriented ellipsoidal and cylindrical cells
Analytical description of the transmembrane voltage induced on arbitrarily oriented ellipsoidal and cylindrical cells
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DOI：
10.1016/s0006-3495(01)75840-7
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发表时间：
2001-10-01
影响因子：
3.4
通讯作者：
Wachner, D
中科院分区：
文献类型：
--
作者：
Gimsa, J;Wachner, D
我们提出了一个分析方程的跨膜电压（Δ φ）诱导的均匀的AC场上任意取向的细胞的一般椭圆形。该方程概括了球形细胞的Schwan方程，并描述了Delta phi对场频率、细胞大小和形状、膜电容、细胞质、膜和外部介质的电导率、所考虑的膜位点的位置以及细胞相对于场的取向的依赖性。推导是基于这样一个事实，即细胞质和麦克斯韦等效体的整个细胞都是一个一般的椭圆形，因此必须表现出恒定的局部领域。恒定场允许相对简单地描述内部和外部膜侧上的电势，导致Delta phi。为此，细胞质，膜和外部介质的属性已被引入到一个特殊的有限元模型。我们发现，AO可以明确地定义为非球形细胞，只要膜的厚度是薄的细胞尺寸相比。
We present an analytical equation for the transmembrane voltage (Delta phi) induced by a homogeneous AC field on arbitrarily oriented cells of the general ellipsoidal shape. The equation generalizes the Schwan equation for spherical cells and describes the dependence of Delta phi on field frequency, cell size and shape, membrane capacitance, conductivities of cytoplasm, membrane and external medium, the location of the membrane site under consideration, and on the orientation of the cell with respect to the field. The derivation is based on the fact that the cytoplasm and the Maxwellian equivalent body of the whole cell are both of a general ellipsoidal shape and must thus exhibit constant local fields. The constant fields allow for a relatively simple description of the potentials on the internal and external membrane sides, leading to Delta phi. For this, the properties of cytoplasm, membrane, and external medium have been introduced into a special, finite element model. We found that AO can be unambiguously defined for non-spherical cells, provided that the membrane thickness is thin in comparison to the cell dimensions.