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An efficient 3-D eddy-current solver using an independent impedance method for transcranial magnetic stimulation

Nele De Geeter (UGent) , Guillaume Crevecoeur (UGent) and Luc Dupré (UGent)
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Abstract
In many important bioelectromagnetic problem settings, eddy-current simulations are required. Examples are the reduction of eddy-current artifacts in magnetic resonance imaging and techniques, whereby the eddy currents interact with the biological system, like the alteration of the neurophysiology due to transcranial magnetic stimulation (TMS). TMS has become an important tool for the diagnosis and treatment of neurological diseases and psychiatric disorders. A widely applied method for simulating the eddy currents is the impedance method (IM). However, this method has to contend with an ill conditioned problem and consequently a long convergence time.When dealing with optimal design problems and sensitivity control, the convergence rate becomes even more crucial since the eddy-current solver needs to be evaluated in an iterative loop. Therefore, we introduce an independent IM (IIM), which improves the conditionality and speeds up the numerical convergence. This paper shows how IIM is based on IM and what are the advantages. Moreover, the method is applied to the efficient simulation of TMS. The proposed IIM achieves superior convergence properties with high time efficiency, compared to the traditional IM and is therefore a useful tool for accurate and fast TMS simulations.
Keywords
POWER DEPOSITION, ALGORITHM, HUMAN ANATOMY, impedance method (IM), HUMAN BRAIN, eddy currents, transcranial magnetic stimulation (TMS), volume conductor model, TOMOGRAPHY, HEAD MODEL, DIPOLE, CORTEX, COILS, MRI

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Chicago
De Geeter, Nele, Guillaume Crevecoeur, and Luc Dupré. 2011. “An Efficient 3-D Eddy-current Solver Using an Independent Impedance Method for Transcranial Magnetic Stimulation.” Ieee Transactions on Biomedical Engineering 58 (2): 310–320.
APA
De Geeter, N., Crevecoeur, G., & Dupré, L. (2011). An efficient 3-D eddy-current solver using an independent impedance method for transcranial magnetic stimulation. IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 58(2), 310–320.
Vancouver
1.
De Geeter N, Crevecoeur G, Dupré L. An efficient 3-D eddy-current solver using an independent impedance method for transcranial magnetic stimulation. IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING. 2011;58(2):310–20.
MLA
De Geeter, Nele, Guillaume Crevecoeur, and Luc Dupré. “An Efficient 3-D Eddy-current Solver Using an Independent Impedance Method for Transcranial Magnetic Stimulation.” IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING 58.2 (2011): 310–320. Print.
@article{1124459,
  abstract     = {In many important bioelectromagnetic problem settings, eddy-current simulations are required. Examples are the reduction of eddy-current artifacts in magnetic resonance imaging and techniques, whereby the eddy currents interact with the biological system, like the alteration of the neurophysiology due to transcranial magnetic stimulation (TMS). TMS has become an important tool for the diagnosis and treatment of neurological diseases and psychiatric disorders. A widely applied method for simulating the eddy currents is the impedance method (IM). However, this method has to contend with an ill conditioned problem and consequently a long convergence time.When dealing with optimal design problems and sensitivity control, the convergence rate becomes even more crucial since the eddy-current solver needs to be evaluated in an iterative loop. Therefore, we introduce an independent IM (IIM), which improves the conditionality and speeds up the numerical convergence. This paper shows how IIM is based on IM and what are the advantages. Moreover, the method is applied to the efficient simulation of TMS. The proposed IIM achieves superior convergence properties with high time efficiency, compared to the traditional IM and is therefore a useful tool for accurate and fast TMS simulations.},
  author       = {De Geeter, Nele and Crevecoeur, Guillaume and Dupr{\'e}, Luc},
  issn         = {0018-9294},
  journal      = {IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING},
  keyword      = {POWER DEPOSITION,ALGORITHM,HUMAN ANATOMY,impedance method (IM),HUMAN BRAIN,eddy currents,transcranial magnetic stimulation (TMS),volume conductor model,TOMOGRAPHY,HEAD MODEL,DIPOLE,CORTEX,COILS,MRI},
  language     = {eng},
  number       = {2},
  pages        = {310--320},
  title        = {An efficient 3-D eddy-current solver using an independent impedance method for transcranial magnetic stimulation},
  url          = {http://dx.doi.org/10.1109/TBME.2010.2087758},
  volume       = {58},
  year         = {2011},
}

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