由磁线圈感应产生的多圆柱体积导体中电场的计算。
Calculation of electric fields in a multiple cylindrical volume conductor induced by magnetic coils.
作者信息
Schnabel V, Struijk J J
机构信息
Center for Sensory-Motor Interaction, Aalborg University, Fredrik Bajers Vej 7 D3, DK-9220 Aalborg, Denmark.
出版信息
IEEE Trans Biomed Eng. 2001 Jan;48(1):78-86. doi: 10.1109/10.900251.
A method is presented for calculating the electric field, that is induced in a cylindrical volume conductor by an alternating electrical current through a magnetic coil of arbitrary shape and position. The volume conductor is modeled as a set of concentric, infinitely long, homogeneous cylinders embedded in an outer space that extends to infinity. An analytic expression of the primary electric field induced by the magnetic coil, assuming quasi-static conditions, is combined with the analytic solution of the induced electric scalar potential due to the inhomogeneities of the volume conductor at the cylindrical interfaces. The latter is obtained by the method of separation of variables based on expansion with modified Bessel functions. Numerical results are presented for the case of two cylinders representing a nerve bundle with perineurium. An active cable model of a myelinated nerve fiber is included, and the effect of the nerve fiber's undulation is shown.
本文提出了一种计算电场的方法，该电场由通过任意形状和位置的磁线圈的交变电流在圆柱形体积导体中感应产生。体积导体被建模为一组同心的、无限长的、均匀的圆柱体，嵌入延伸至无穷远的外部空间。假设为准静态条件，磁线圈感应产生的初级电场的解析表达式与由于体积导体在圆柱界面处的不均匀性而产生的感应电标量势的解析解相结合。后者通过基于修正贝塞尔函数展开的变量分离方法获得。给出了用两个圆柱体代表有神经束膜的神经束的情况的数值结果。其中包含了有髓神经纤维的有源电缆模型，并展示了神经纤维起伏的影响。
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