摘要
在对静电场与细胞相互作用建模和跨膜电位计算的基础上,基于能斯托公式和玻尔兹曼公式,给出静电场对椭球细胞离子跨膜迁移量影响的分析方法,并就静电场对不同类型椭球细胞离子跨膜迁移量变化的影响进行数值分析.研究发现:静电场在细胞表面不同位置引起的跨膜离子迁移量不同;随外场方向角α、椭球半轴比值ρ增加,静电场引起的细胞膜一侧离子浓度相对无外场作用,其比值的最大值逐渐减少,最大值对应位置θ_(max)逐渐增加;在外场强度、细胞表面积或体积一定条件下,ρ值越大,则对应的θ_(max)值越大;对于含乘性白噪声的静电场,场强度越大、信噪比越小,则离子浓度相对变化量越大.电场影响椭球细胞离子的跨膜迁移量引起细胞介质极化.
Based on the model setting is carried out to describe the interaction between static electric field and cell and the calculation of the transmembrane potential, and the Nernst formula and the Boltzmann formula, the method which to analyze the influence of the static field on the quantity across ellipsoid-cell membrane is investigated by using the theorem of electromagnetic induction. Furthermore,numerical studies were used to detect and verify the transition of ion exchange across the membrane. Some interesting results are approached as follows. The exchange of ions across the membrane and fluctuation of membrane potential are dependent on the position, orientation of electric field applied on the membrane of cell and the cell-shape. With the increasing of the field angle(between the direction of applied field and the direction of ellipsoid semi-major axis) and the semi-axis ratio ρ, it is found that the maximal ratio of ion concentration on the side of the ellipsoid-cell will reduce when external field is applied on the cell membrane,and its positions θ_(max) will increase. Under a certain cell superficial area or volume, θ_(max) is increased as ρ goes up. The larger field intensity for the electrostatic field with the noise, the smaller signal to noise ratio, as a result, the rate of relative change of the ion concentration will increase. The mechanism for transition in transmembrane ions could be that media or cell can be polarized when appropriate electric field is applied on ellipsoid cell even noise is considered.
引文
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