Calculation of Electrostatically Induced Electric Fields in Human Models using a Two-step Process Method of Voxel-based Fast Multipole Surface Charge Simulation Method

Abstract

As a numerical calculation technique of the electrostatically induced electric field in the human body by the commercial frequency AC electric field, we propose a two-step process method that employs the voxel-based surface charge simulation method, combined with the fast multipole method (FMM). The validity of the proposed method was verified through analysis of the half spheroid model and the NICT TARO model and the calculation performance, such as error rate, speed, required amount of memory, and parallelization efficiency were investigated. In order to verify the performance of the FMM in this problem, we analyzed the induced fields in simple subdivision models of the TARO model with up to 1.1 billion surface elements (= the number of unknowns N) that correspond to 27.6 billion tissue voxels. The O (N) characteristics of the FMM were successfully confirmed. Therefore, the proposed method can be considered as a useful option even when dealing with large-scale voxel models that are greater than the TARO model.