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Author: Hassane Mohellebi

  • MATHEMATICAL MODELLING OF MEDICAL-BIOLOGICAL PROCESSES AND SYSTEMS

    Finite Elements Modelling for Calculation of Magnetic Fields in Magnetoencephalography

    • Hamid Mehaddene
    • Sara Sahraoui
    • Hassane Mohellebi
    Mathematical Modeling, Vol. 9 (2025), Issue 2, pg(s) 74-77
    • Abstract
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    The present study concerns the simulation, in two dimensions, by the finite element method, of the behaviour of the magnetic field created by sources of equivalent neuronal currents by considering a simplified model of a diagnostic device used in MEG (Magnetoencephalography). The simplified geometric model is composed of the head, the magnetic field sensors and the sources of equivalent currents representing the neurons. The geometric model of the head is represented by 3 layers which are brain, bone and skin. The sensors placed above the part of the skin make it possible to calculate the electric voltage induced by the magnetic field resulting from the sources of equivalent currents produced by the neurons. Neurons are represented by equidistant point current sourcesThe Maxwell-multi physics software has been used.

  • MATHEMATICAL MODELLING OF MEDICAL-BIOLOGICAL PROCESSES AND SYSTEMS

    Modeling of skin/sensor contact impact and neuron loss effect on EEG signals of voltage sensor

    • Assia Ait Hamou
    • Sara Sahraoui
    • Hassane Mohellebi
    Mathematical Modeling, Vol. 8 (2024), Issue 2, pg(s) 85-88
    • Abstract
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    •  Article PDF

    The present work concerns the development of a model which have the capability to represent accurately the skin/sensor contact in an electromagnetic problem study. The later consist of elctro-encyphalography (EEG ) signals encountered in neuroscience health diagnosis. The electromagnetic problem studied is governed by Poisson’s equation and solved using finite element method. The skin/sensor contact is modeled by an analytical solution, which is coupled to finite element resolution. The signals induced by neuronal equivalent charges are presented and investigated. A comparison with existing results is then performed. Neuron loss effect is also investigated.

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