A multi-sphere particle numerical model for non-invasive investigations of neuronal human brain activity

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Abstract

In this paper, a multi-sphere particle method is built-up 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 con¯guration with different conductivities. A good agreement of the numerical results is shown and, for the first time compared with the analytical ones.
Lingua originaleEnglish
pagine (da-a)143-153
Numero di pagine11
RivistaPROGRESS IN ELECTROMAGNETICS RESEARCH. LETTERS
Volume36
Stato di pubblicazionePublished - 2013

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Poisson equation
Partial differential equations
Numerical models
Brain
Boundary conditions

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials

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title = "A multi-sphere particle numerical model for non-invasive investigations of neuronal human brain activity",
abstract = "In this paper, a multi-sphere particle method is built-up 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 con¯guration with different conductivities. A good agreement of the numerical results is shown and, for the first time compared with the analytical ones.",
author = "Elisa Francomano and Guido Ala",
year = "2013",
language = "English",
volume = "36",
pages = "143--153",
journal = "Progress In Electromagnetics Research Letters",
issn = "1937-6480",
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AU - Francomano, Elisa

AU - Ala, Guido

PY - 2013

Y1 - 2013

N2 - In this paper, a multi-sphere particle method is built-up 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 con¯guration with different conductivities. A good agreement of the numerical results is shown and, for the first time compared with the analytical ones.

AB - In this paper, a multi-sphere particle method is built-up 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 con¯guration with different conductivities. A good agreement of the numerical results is shown and, for the first time compared with the analytical ones.

UR - http://hdl.handle.net/10447/72483

UR - http://www.jpier.org/PIERL/pier.php?paper=12110906

M3 - Article

VL - 36

SP - 143

EP - 153

JO - Progress In Electromagnetics Research Letters

JF - Progress In Electromagnetics Research Letters

SN - 1937-6480

ER -