A realistic volume conductor model of the neonatal head: Methods, challenges and applications

Despotović, Ivana; Vansteenkiste, Ewout; Philips, Wilfried

doi:10.1109/embc.2013.6610247

Cited by 1 publication

(1 citation statement)

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“…The skull conductivity of infants differs from the skull conductivity of adults (Ernst et al, 2011) and a head model of one compartment is often used to obtain a reliable source localization (Odabaee et al, 2012;Silau et al, 1994;Odabaee et al, 2014). Thus we used a single sphere with homogeneous conductivity to model this scenario (Despotovic et al, 2013). mixed adjoint double layer approach shows the best performance compared with any other formulation.…”

Section: Numerical Experiments On a Layered Spherical Head Modelmentioning

confidence: 99%

Conforming discretizations of boundary element solutions to the electroencephalography forward problem

Rahmouni

Adrian

Cools

et al. 2018

Comptes Rendus. Physique

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In this paper we present a new discretization strategy for the boundary element formulation of the Electroencephalography (EEG) forward problem. Boundary integral formulations, classically solved with the Boundary Element Method (BEM), are widely used in high resolution EEG imaging because of their recognized advantages, in several real case scenarios, in terms of numerical stability and effectiveness when compared with other differential equation based techniques. Unfortunately however, it is widely reported in literature that the accuracy of standard BEM schemes for the forward EEG problem is often limited, especially when the current source density is dipolar and its location approaches one of the brain boundary surfaces. This is a particularly limiting problem given that during an high-resolution EEG imaging procedure, several EEG forward problem solutions are required for which the source currents are near or on top of a boundary surface. This work will first present an analysis of standardly and classically discretized EEG forward problem operators, reporting on a theoretical issue of some of the formulations that have been used so far in the community. We report on the fact that several standardly used discretizations of these formulations are consistent only with an L 2 -framework, requiring the expansion term to be a square integrable function (i.e., in a Petrov-Galerkin scheme with expansion and testing functions). Instead, those techniques are not consistent when a more appropriate mapping in terms of fractional order Sobolev spaces is considered. Such a mapping allows the expansion function term to be a less regular function, thus sensibly reducing the need for mesh refinements and low-precisions handling strategies that are currently required. These more favorable mappings, however, require a different and conforming discretization which must be suitably adapted to them. In order to appropriately fulfill this requirement, we adopt a mixed discretization based on dual boundary elements residing on a suitably defined dual mesh. We devote also a particular attention to implementation-oriented details of our new technique that will allow the rapid incorporation of our finding in one's own EEG forward solution technology. We conclude by showing how the resulting forward EEG problems show favorable properties with respect to previously proposed schemes and we show their applicability to real case modeling scenarios obtained from Magnetic Resonance Imaging (MRI) data.

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Section: Numerical Experiments On a Layered Spherical Head Modelmentioning

confidence: 99%