A parallel particle method for solving the EEG source localization forward problem

Demirel, Ömer Burak; Schrader, Birte; Sbalzarini, Ivo F.

doi:10.1109/hibit.2011.6450807

Cited by 2 publications

(3 citation statements)

References 24 publications

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“…The meshless methods are increasing their influence in physical applications with the aim to eliminate the generation of meshes and by constructing the approximation only in terms of particles. Therefore, a set of particles are used instead of meshing the domain of the problem [24,25]. In this paper, the Poisson's equation with suitable boundary conditions for multilayered homogeneous, isotropic spherical domain is studied by using the Smoothed Particle Hydrodynamics (SPH) method [19][20][21][22][23][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

A Multi-Sphere Particle Numerical Model for Non-Invasive Investigations of Neuronal Human Brain Activity

Ala¹,

Francomano²

2013

PIER Letters

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In this paper, a multi-sphere particle method is builtup in order to estimate the solution of the Poisson's equation with Neumann boundary conditions describing the neuronal human brain activity. The partial differential equations governing the relationships between neural current sources and the data produced by neuroimaging technique, are able to compute the scalp potential and magnetic field distributions generated by the neural activity. A numerical approach is proposed with current dipoles as current sources and going on in the computation by avoiding the mesh construction. The current dipoles are into an homogeneous spherical domain modeling the head and the computational approach is extended to multilayered configuration with different conductivities. A good agreement of the numerical results is shown and, for the first time compared with the analytical ones.

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Section: Introductionmentioning

confidence: 99%

A Multi-Sphere Particle Numerical Model for Non-Invasive Investigations of Neuronal Human Brain Activity

Ala¹,

Francomano²

2013

PIER Letters

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“…Recently, other models based on meshless methods gained momentum . For meshless methods, the drawback of mesh generation is overcome, because no connection between nodes is required.…”

Section: Introductionmentioning

confidence: 99%

“…In , the authors propose an approach whose formulation stems from but using an element‐free Galerkin method. Furthermore in , the authors present a method based on discretization‐corrected particle strength exchange operators.…”

Section: Introductionmentioning

confidence: 99%

A numerical meshless particle method in solving the magnetoencephalography forward problem

Ala

Blasi

Francomano

2012

Int J Numerical Modelling

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In this paper, a numerical meshless particle method is presented in order to solve the magnetoencephalography\ud forward problem for analyzing the complex activation patterns in the human brain. The forward problem is\ud devoted to compute the scalp potential and magnetic field distribution generated by a set of current sources\ud representing the neural activity, and in this paper, it has been approached by means of the smoothed particle\ud hydrodynamics method suitably handled. The Poisson equation generated by the quasi-stationary Maxwell’s curl\ud equations, by assuming Neumann boundary conditions has been considered, and the current sources have been\ud simulated by current dipoles. The adopted meshless particle model has provided good results in agreement with\ud the analytical ones and by overcoming the drawback of the mesh generation. The numerical model has been validated,\ud at first, in computing the electric potential and the external magnetic field for a dipole plunged near the upper\ud surface of a homogeneous sphere simulating the human brain. Simulation results obtained by simulating two\ud concentric spheres with different conductivities are also reported. Moreover, in order to better assess the validity of\ud the proposed approach, a realistic human brain cortex model has been also simulated and compared with boundary\ud element method results. A satisfactory agreement has been reached

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A parallel particle method for solving the EEG source localization forward problem

Cited by 2 publications

References 24 publications

A Multi-Sphere Particle Numerical Model for Non-Invasive Investigations of Neuronal Human Brain Activity

A Multi-Sphere Particle Numerical Model for Non-Invasive Investigations of Neuronal Human Brain Activity

A numerical meshless particle method in solving the magnetoencephalography forward problem

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