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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

Dragan Poljak, Mario Cvetković, Vicko Dorić, Ivana Zulim, Zoran Đogaš, Maja Rogić Vidaković, Jens Haueisen, Khalil El Khamlichi Drissi
Copyright: © 2018 |Volume: 9 |Issue: 1 |Pages: 20
ISSN: 1947-315X|EISSN: 1947-3168|EISBN13: 9781522545125|DOI: 10.4018/IJEHMC.2018010105
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MLA

Poljak, Dragan, et al. "Integral Equation Formulations and Related Numerical Solution Methods in Some Biomedical Applications of Electromagnetic Fields: Transcranial Magnetic Stimulation (TMS), Nerve Fiber Stimulation." IJEHMC vol.9, no.1 2018: pp.65-84. http://doi.org/10.4018/IJEHMC.2018010105

APA

Poljak, D., Cvetković, M., Dorić, V., Zulim, I., Đogaš, Z., Vidaković, M. R., Haueisen, J., & Drissi, K. E. (2018). Integral Equation Formulations and Related Numerical Solution Methods in Some Biomedical Applications of Electromagnetic Fields: Transcranial Magnetic Stimulation (TMS), Nerve Fiber Stimulation. International Journal of E-Health and Medical Communications (IJEHMC), 9(1), 65-84. http://doi.org/10.4018/IJEHMC.2018010105

Chicago

Poljak, Dragan, et al. "Integral Equation Formulations and Related Numerical Solution Methods in Some Biomedical Applications of Electromagnetic Fields: Transcranial Magnetic Stimulation (TMS), Nerve Fiber Stimulation," International Journal of E-Health and Medical Communications (IJEHMC) 9, no.1: 65-84. http://doi.org/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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