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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
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Author(s): Dragan Poljak (University of Split, Croatia), Mario Cvetković (University of Split, Croatia), Vicko Dorić (University of Split, Croatia), Ivana Zulim (University of Split, Croatia), Zoran Đogaš (University of Split, Croatia), Maja Rogić Vidaković (University of Split, Croatia), Jens Haueisen (Technical University Ilmenau, Germany)and Khalil El Khamlichi Drissi (Blaise Pascal University, France)
Copyright: 2020
Pages: 19
Source title:
Data Analytics in Medicine: Concepts, Methodologies, Tools, and Applications
Source Author(s)/Editor(s): Information Resources Management Association (USA)
DOI: 10.4018/978-1-7998-1204-3.ch013
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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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