On a Fast Solution Strategy for a Surface-Wire Integral Formulation of the Anisotropic Forward Problem in Electroencephalography

Carlo Baronio (1, 2) , Giulio Cosentino (1, 2) , Paolo Ricci (2) , Clément Henry (3, 4) , Maxime Y. Monin (2) , Adrien Merlini (3, 4) , Francesco P. Andriulli (2)

1 Galileo Ferraris High School
2 Polito - Politecnico di Torino = Polytechnic of Turin
3 IMT Atlantique - MO - Département Micro-Ondes
4 Lab-STICC_PIM - Equipe PIM

This work focuses on a quasi-linear-in-complexity strategy for a hybrid surface-wire integral equation solver for the electroencephalography forward problem. The scheme exploits a block diagonally dominant structure of the wire self block -- that models the neuronal fibers self interactions -- and of the surface self block -- modeling interface potentials. This structure leads to two Neumann iteration schemes further accelerated with adaptive integral methods. The resulting algorithm is linear up to logarithmic factors. Numerical results confirm the performance of the method in biomedically relevant scenarios.

Domaines: Physique Numérique [physics.comp-ph]; Ingénierie biomédicale; Neurosciences [q-bio.NC]; Traitement du signal et de l'image [eess.SP]

Carlo Baronio, Giulio Cosentino, Paolo Ricci, Clément Henry, Maxime Y. Monin, et al.. On a Fast Solution Strategy for a Surface-Wire Integral Formulation of the Anisotropic Forward Problem in Electroencephalography. IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI 2022), Jul 2022, Denver, CO, United States. ⟨10.1109/AP-S/USNC-URSI47032.2022.9886398⟩. ⟨hal-03762860⟩