Integral Equation Formulations and Related Numerical Solution Methods in Some Biomedical Applications of Electromagnetic Fields-Reference-Cited by-同舟云学术

Integral Equation Formulations and Related Numerical Solution Methods in Some Biomedical Applications of Electromagnetic Fields

Published:2018-01 Issue:1 Volume:9 Page:65-84
ISSN:1947-315X
Container-title:International Journal of E-Health and Medical Communications
language:en
Short-container-title:

Author:

Poljak Dragan¹,Cvetković Mario¹,Dorić Vicko¹,Zulim Ivana¹,Đogaš Zoran²,Vidaković Maja Rogić²,Haueisen Jens³,Drissi Khalil El Khamlichi⁴

Affiliation:

1. Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture (FESB), University of Split, Split, Croatia

2. School of Medicine, University of Split, Split, Croatia

3. Institute of Biomedical Engineering and Informatics, Technical University Ilmenau, Ilmenau, Germany

4. Blaise Pascal University, Clermont-Ferrand, France

Abstract

The paper reviews certain integral equation approaches and related numerical methods used in studies of biomedical applications of electromagnetic fields pertaining to transcranial magnetic stimulation (TMS) and nerve fiber stimulation. TMS is analyzed by solving the set of coupled surface integral equations (SIEs), while the numerical solution of governing equations is carried out via Method of Moments (MoM) scheme. A myelinated nerve fiber, stimulated by a current source, is represented by a straight thin wire antenna. The model is based on the corresponding homogeneous Pocklington integro-differential equation solved by means of the Galerkin Bubnov Indirect Boundary Element Method (GB-IBEM). Some illustrative numerical results for the TMS induced fields and intracellular current distribution along the myelinated nerve fiber (active and passive), respectively, are presented in the paper.

Publisher

IGI Global

Subject

Health Informatics,Computer Science Applications

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