Mathematical Modeling of Brain Swelling in Electroencephalography and Magnetoencephalography

Athena Papargiri, George Fragoyiannis () and Vasileios S. Kalantonis
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Athena Papargiri: Department of Electrical and Computer Engineering, University of Patras, 26504 Patras, Greece
George Fragoyiannis: Department of Chemical Engineering, University of Patras, 26504 Patras, Greece
Vasileios S. Kalantonis: Department of Electrical and Computer Engineering, University of Patras, 26504 Patras, Greece

Mathematics, 2023, vol. 11, issue 11, 1-15

Abstract: In the present paper, the forward problem of EEG and MEG is discussed, where the head is modeled by a spherical two-shell piecewise-homogeneous conductor with a neuronal current source positioned in the exterior shell area representing the brain tissue, while the interior shell portrays a cerebral edema. We consider constant conductivity, which assumes different values in each compartment, where the expansions of the electric potential and the magnetic field are represented via spherical harmonics. Furthermore, we demonstrate the reduction of our analytical results to the single-compartment model while it is shown that the magnetic field in the exterior of the conductor is a function only of the dipole moment and its position. Consequently, it does not depend on the inhomogeneity dictated by the interior shell, a fact that verifies the efficiency of the model.

Keywords: EEG; MEG; forward problem; brain swelling; spherical model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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