The response of the myelinated nerve fiber to short duration biphasic stimulating currents

1979 ◽  
Vol 7 (2) ◽  
pp. 117-125 ◽  
Author(s):  
Christopher van den Honert ◽  
J. Thomas Mortimer
Keyword(s):  
Nerve Fiber ◽  
Short Duration ◽  
Myelinated Nerve Fiber ◽  
Myelinated Nerve

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

2020 ◽  
pp. 249-267
Author(s):  
Dragan Poljak ◽  
Mario Cvetković ◽  
Vicko Dorić ◽  
Ivana Zulim ◽  
Zoran Đogaš ◽  
...  
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Nerve Fiber ◽  
Electromagnetic Fields ◽  
Biomedical Applications ◽  
Current Source ◽  
Myelinated Nerve Fiber ◽  
Surface Integral ◽  
Myelinated Nerve ◽  
Solution Methods

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.

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

2018 ◽  
Vol 9 (1) ◽  
pp. 65-84 ◽  
Author(s):  
Dragan Poljak ◽  
Mario Cvetković ◽  
Vicko Dorić ◽  
Ivana Zulim ◽  
Zoran Đogaš ◽  
...  
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Nerve Fiber ◽  
Electromagnetic Fields ◽  
Biomedical Applications ◽  
Current Source ◽  
Wire Antenna ◽  
Myelinated Nerve Fiber ◽  
Myelinated Nerve ◽  
Numerical Solution Methods

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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