A Novel Efficient FEM Thin Shell Model for Bio-Impedance Analysis

Biosensors (Basel). 2020 Jun 17;10(6):69. doi: 10.3390/bios10060069.

Abstract

In this paper, a novel method for accelerating eddy currents calculation on a cell model using the finite element method (FEM) is presented. Due to the tiny thickness of cell membrane, a full-mesh cell model requires a large number of mesh elements and hence intensive computation resources and long time. In this paper, an acceleration method is proposed to reduce the number of mesh elements and therefore reduce the computing time. It is based on the principle of replacing the thin cell membrane with an equivalent thicker structure. The method can reduce the number of mesh elements to 23% and the computational time to 17%, with an error of less than 1%. The method was verified using 2D and 3D finite element methods and can potentially be extended to other thin shell structures. The simulation results were validated by measurement and analytical results.

Keywords: ? dispersion; Maxwell–Wagner effect; bio-impedance spectroscopy; finite element method; thin shell model.

MeSH terms

  • Biosensing Techniques*
  • Electric Impedance
  • Finite Element Analysis*
  • Humans
  • Models, Biological*
  • Single-Cell Analysis*