Publications

Journal Publications

Preprints

2023

N. Hasan (G), D. Wang (PD), and L. J. Gomez, " Fast and accurate computational E-field dosimetry for group-level transcranial magnetic stimulation targeting," Computers in Biology and Medicine, vol. 167, 2023 link

M. Dannhauer, L. J. Gomez, P. L. Robins, D. Wang (PD), N. Hasan (G), A. Thielscher, H. R. Siebner, Y. Fan, Z. Deng, " Fast and accurate computational E-field dosimetry for group-level transcranial magnetic stimulation targeting," Biological Psychiatry, 2023 link

D. Wang (PD), N. Hasan (G), M. Dannhauer, A. C. Yucel and L. J. Gomez, "Fast Computational E-field Dosimetry for Transcranial Magnetic Stimulation using Adaptive Cross Approximation and Auxiliary Dipole Method (ACA-ADM)," NeuroImage, vol. 267, 2023  link

2022

S. B. Sayed, Y. Liu, L. J. Gomez, A. Yucel, "A Butterfly-Accelerated Volume Integral Equation Solver for Broad Permittivity and Large-Scale Electromagnetic Analysis," Transactions on Antennas and Propagation, vol. 70, no. 5, pp. 3549 - 3559, 2022. link

H. Zhang,  L. J. Gomez, J. Guilleminot,  " Uncertainty quantification of TMS simulations considering MRI segmentation errors," Journal of Neural Engineering, vol. 19, no. 2, pp. 1-15, 2022. link

X. Jia, S. Sayed, N. Hasan (G), L. Gomez, G. Huang, A. Yucel., "DeeptDCS: Deep Learning-Based Estimation of Currents Induced During Transcranial Direct Current Stimulation," IEEE Trans. Biomed. Eng., vol. 70, no. 4, pp. 1231 - 1241, 2022. link

 

2021

H. Zhang, J. Guilleminot, L. J. Gomez,  " Stochastic modeling of geometrical uncertainties on complex domains, with applications to additive manufactoring and brain interface geometries," Computer methods in applied mechanics and engineering, vol. 385, pp. 114014, 2021. link

M. Wang, C. Qian, E. Di Lorenzo, L. J. Gomez, V. Okhmatovski, and A. C. Yucel, " SuperVoxHenry: Tucker-enhanced and FFT-accelerated inductance extraction for voxelized superconducting structures," IEEE Transactions on applied superconductivity, vol. 31, no. 7, pp. 1-11, 2021. link

L. J. Gomez, M. Dannhauer and A. Peterchev, " Fast computational optimization of TMS coil placement for individualized electric field targeting," NeuroImage, vol. 228, no. 3, pp. 1-13, 2021. link

2020

L. J. Gomez, M. Dannhauer, L. M. Koponen and A. Peterchev, "Conditions for numerically accurate TMS electric field simulation," Brain Stimulation: Basic, Translational, and Clinical Research in Neuromodulation, vol. 13, no. 1, pp. 157-166, 2020. link

2019

C, Zhuotong, L. J. Gomez, S. Zheng, A. C. Yucel, Z. Zhang, O. Okhmatovski, "Sparsity Aware Pre-Corrected Tensor Train Algorithm For Fast Solution of 2D Scattering Problems and Current Flow Modelling on Unstructured Meshes," Transactions on Microwave Theory and Techniques, vol. 67, no. 12, 2019.

2018

L. J. Gomez, S. Goetz, and A. V. Peterchev, "Design of Transcranial Magnetic Stimulation Coils with Optimal Trade-off between Depth, Focality, and Energy," Journal of neural engineering, 2018. link

B. Wang, Z. Deng, J. Smith, J. Tharayil, C. Gurrey, L. J. Gomez, A. Peterchev, "Redesigning existing transcranial magnetic stimulation coils to reduce energy: application to low field magnetic stimulation," Journal of neural engineering, 2018. link

A. C. Yucel, L. J. Gomez, and E. Michielssen, "Internally Combined Volume-Surface Integral Equation for EM Analysis of Inhomogeneous Negative Permittivity Plasma Scatterers," IEEE Transactions on Antennas and Propagation, vol. 66, no. 4, pp. 1903-1913, 2018. link

L. J. Gomez, A. C. Yücel, and E. Michielssen, "The ICVSIE: A General Purpose Integral Equation Method for Bio-Electromagnetic Analysis," IEEE Transactions on Biomedical Engineering, vol. 65, no. 3, pp. 565-574, 2018. link

2017

A. C. Yucel, L. J. Gomez, and E. Micielssen, "Compression of Translation Operator Tensors in FMM-FFT Accelerated SIE Solvers via Tucker Decomposition," IEEE Antennas and Wireless Propagation Letters, vol. 16,pp. 2667-2670, 2017. link

L. J. Gomez, A. C. Yucel, and E. Michielssen, "Internally Combined Volume-Surface Integral Equation for a 3D Electromagnetic Scattering Analysis of High Contrast Media," IEEE Antennas and Wireless Propagation Letters, vol. 16, pp. 1691-1694, 2017. link

2010-2016

L. J. Gomez, A. C. Yücel, and E. Michielssen, "Volume-surface combined field integral equation for plasma scatterers," IEEE Antennas and Wireless Propagation Letters, vol. 14, pp. 1064-1067, 2015. link

L. J. Gomez, A. C. Yücel, and E. Michielssen, "Low-frequency stable internally combined volume-surface integral equation for high-contrast scatterers," IEEE Antennas and Wireless Propagation Letters, vol. 14, pp. 14231426, 2015. link

L. J. Gomez, A. C. Yücel, L. Hernandez-Garcia, S. F. Taylor, and E. Michielssen, "Uncertainty quantification in transcranial magnetic stimulation via high-dimensional model representation," IEEE Transactions on Biomedical Engineering, vol. 62, no. 1, pp. 361-372, 2015. link

L. J. Gomez, F. Cajko, L. Hernandez-Garcia, A. Grbic, and E. Michielssen, " Numerical Analysis and Design of Single-Source Multicoil TMS for Deep and Focused Brain Stimulation," IEEE Trans. Biomed. Eng., vol. 60, no. 10, pp. 2771-82, October 2013 link

L. Hernandez-Garcia, T. Hall, L. J. Gomez, and E. Michielssen, "A numerically optimized active shield for improved transcranial magnetic stimulation targeting," Brain Stimulation: Basic, Translational, and Clinical Research in Neuromodulation, vol. 3, no. 4, pp. 218-225, 2010 link 

Book chapters

A. C. Yucel, L. J. Gomez, W. Sheng, H. Bagci, and E. Michielssen, “Recent Trends in Uncertainty Quantification for Large-scale Electromagnetic Analysis: From Tensor Product Cubature Rules to Spectral Quantic Tensor Train Approximation,” in New Trends in Computational Electromagnetics (ed. O. Ergul), pp. 1-31, 2019

R. J. Ilmoniemi, Z. Deng, L. J. Gomez, L. M. Koponen, J. O. Nieminen, A. V. Peterchev, and C. M. Epstein, “Transcranial Magnetic Stimulation Coils,” in The Oxford Handbook of Transcranial Stimulation, Second Edition (2 ed.), Published online: 2022 (doi.org/10.1093/oxfordhb/9780198832256.013.4)