Fast evaluation of the Biot-Savart integral using FFT for electrical conductivity imaging

JOURNAL OF COMPUTATIONAL PHYSICS

卷:411

Article

Yazdanian, Hassan¹  Saturnino, Guilherme B.^2,3  Thielscher, Axel^2,3  Knudsen, Kim⁴ 

[1] KN Toosi Univ Technol, Dept Biomed Engn, Tehran, Iran

[2] Tech Univ Denmark, Dept Hlth Technol, DK-2800 Lyngby, Denmark

[3] Univ Copenhagen, Hvidovre Hosp, Ctr Funct & Diagnost Imaging & Res, Danish Res Ctr Magnet Resonance, Hvidovre, Denmark

[4] Tech Univ Denmark, Dept Appl Math & Comp Sci, DK-2800 Lyngby, Denmark

关键词: Biot-Savart integral;    Conductivity;    FFT;    Forward problem;    Magnetic field;   

DOI  :  10.1016/j.jcp.2020.109408

来源: Elsevier

【 摘 要 】

Magnetic resonance electrical impedance tomography (MREIT) and current density imaging (MRCDI) are emerging as new methods to non-invasively assess the electric conductivity of and current density distributions within biological tissue in vivo. The accurate and fast computation of magnetic fields caused by low frequency electrical currents is a central component of the development, evaluation and application of reconstruction methods that underlie the estimations of the conductivity and current density, respectively, from the measured MR data. However, methods for performing these computations have not been well established in the literature. In the current work, we describe a fast and efficient technique to evaluate the Biot-Savart integral based on the fast Fourier transform (FFT), and evaluate its convergence. We show that the method can calculate magnetic fields in realistic human head models in one minute on a standard computer, while keeping error below 2%. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free