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math.NA2026

Advanced EEG Source Models from the Perspective of FEM and Inverse Solutions

Santtu Söderholm, Joonas Lahtinen, Sampsa Pursiainen

The paper compares finite element forward models for EEG using different source representations and evaluates several inverse localization methods, finding that matching the source…

math.NA2026

Forward--Inverse Interplay in FEM-Based EEG Source Imaging: Distributional Signatures of Advanced Source Models and Inverse Solvers

Santtu Söderholm, Joonas Lahtinen, Sampsa Pursiainen

Electroencephalography (EEG) source imaging aims to infer brain activity from electrical potentials measured on the scalp. This is a difficult problem because many different source…

math.NA2026

A Complete-Electrode-Model-Based Forward Approach for Transcranial Temporal Interference Stimulation with Linearization: A Numerical Simulation Study

Santtu Söderholm, Maryam Samavaki, Sampsa Pursiainen

Background and Objective: Transcranial temporal interference stimulation (tTIS) is a promising non-invasive brain stimulation technique in which interference between electrical cur…

math.NA2024

A Coupled Diffusion Approximation for Spatiotemporal Hemodynamic Response and Deoxygenated Blood Volume Fraction in Microcirculation

Maryam Samavaki, Santtu Söderholm, Arash Zarrin Nia +1

Background and Objective: This proof of concept study investigates mathematical modelling of blood flow and oxygen transport in cerebral microcirculation, focusing on understanding…