Algebraic Reconstruction of Current Dipoles and Quadrupoles in Three-Dimensional Space

Nara, Takaaki

doi:10.1155/2013/413980

Cited by 2 publications

(1 citation statement)

References 25 publications

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“…Multipolar source models are expected to have a major impact in the solution of the E/MEG inverse problem (IP). In this direction, several approaches have been presented in the MEG literature exploiting the availability of analytical formulas for spherical head models [10], [45], [46]. Using a single shell spherical head representation, Jerbi et al showed that source estimation errors were consistently lowered by the addition of the quadrupolar term to the standard dipole [10].…”

Section: Discussionmentioning

confidence: 99%

A Finite Element Solution of the Forward Problem in EEG for Multipolar Sources

Beltrachini

2019

IEEE Trans. Neural Syst. Rehabil. Eng.

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Multipolar source models have been presented in the context of electro/magnetoencephalography (E/MEG) to compensate for the limitations of the classical equivalent current dipole to represent realistic generators of brain activity. Although there exist several reports accounting for the advantages of multipolar components over single dipoles, there is still no available numerical implementation in fully-personalised scenarios. In this paper, we present, for the first time, a finite element framework for simulating EEG signals generated by multipolar current sources in individualised, heterogeneous, and anisotropic head models. This formulation is based on the subtraction approach, guaranteeing the existence and uniqueness of the solution. In particular, we analyse the cases of monopolar, dipolar, and quadrupolar source components, for which we study their performance in idealised and realistic head models. Numerical solutions are compared with analytical formulas in multi-layered spherical models. Such formulas are available in the case of monopolar and dipolar sources, and here derived for the quadrupolar components. We finally illustrate their advantages in the description of extended current generators using a realistic head model. The framework presented here enables further analysis towards the estimation of biophysically-principled source parameters from standard E/MEG experiments.

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Section: Discussionmentioning

confidence: 99%

A Finite Element Solution of the Forward Problem in EEG for Multipolar Sources

Beltrachini

2019

IEEE Trans. Neural Syst. Rehabil. Eng.

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Algebraic reconstruction combined with the signal space separation method for the inverse magnetoencephalography problem with a dipole-quadrupole source

Nara

Koiwa

Takagi

et al. 2014

Journal of Applied Physics

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This paper presents an algebraic reconstruction method for dipole-quadrupole sources using magnetoencephalography data. Compared to the conventional methods with the equivalent current dipoles source model, our method can more accurately reconstruct two close, oppositely directed sources. Numerical simulations show that two sources on both sides of the longitudinal fissure of cerebrum are stably estimated. The method is verified using a quadrupolar source phantom, which is composed of two isosceles-triangle-coils with parallel bases.

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Algebraic Reconstruction of Current Dipoles and Quadrupoles in Three-Dimensional Space

Cited by 2 publications

References 25 publications

A Finite Element Solution of the Forward Problem in EEG for Multipolar Sources

A Finite Element Solution of the Forward Problem in EEG for Multipolar Sources

Algebraic reconstruction combined with the signal space separation method for the inverse magnetoencephalography problem with a dipole-quadrupole source

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