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Integral Equation Formulations and Related Numerical Solution Methods in Some Biomedical Applications of Electromagnetic Fields: Transcranial Magnetic Stimulation (TMS), Nerve Fiber Stimulation

Integral Equation Formulations and Related Numerical Solution Methods in Some Biomedical Applications of Electromagnetic Fields: Transcranial Magnetic Stimulation (TMS), Nerve Fiber Stimulation
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Author(s): Dragan Poljak (Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture (FESB), University of Split, Split, Croatia), Mario Cvetković (Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture (FESB), University of Split, Split, Croatia), Vicko Dorić (Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture (FESB), University of Split, Split, Croatia), Ivana Zulim (Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture (FESB), University of Split, Split, Croatia), Zoran Đogaš (School of Medicine, University of Split, Split, Croatia), Maja Rogić Vidaković (School of Medicine, University of Split, Split, Croatia), Jens Haueisen (Institute of Biomedical Engineering and Informatics, Technical University Ilmenau, Ilmenau, Germany) and Khalil El Khamlichi Drissi (Blaise Pascal University, Clermont-Ferrand, France)
Copyright: 2018
Volume: 9
Issue: 1
Pages: 20
Source title: International Journal of E-Health and Medical Communications (IJEHMC)
Editor(s)-in-Chief: Joel J.P.C. Rodrigues (Federal University of Piauí (UFPI), Teresina - Pi, Brazil; Instituto de Telecomunicações, Portugal)
DOI: 10.4018/IJEHMC.2018010105

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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.

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