Spherical splines for scalp potential and current density mapping

Perrin, Fabien; Pernier, J.; Bertrand, Olivier; Echallier, J.F.

doi:10.1016/0013-4694(89)90180-6

Cited by 2,430 publications

(1,630 citation statements)

References 7 publications

Supporting

Mentioning

1,620

Contrasting

Unclassified

Order By: Relevance

“…For EEG, an alternative approach to locating generators of early auditory left and right hemisphere activity is to improve the spatial resolution of scalp EEG. To this end, high-resolution EEG methods such as skull current density estimates by means of a surface Laplacian algorithm are useful (Perrin et al, 1989). The surface Laplacian is the second spatial derivative of the voltage distribution in tissue and estimates the volume current flow out of the brain through the skull into the skin (also referred to as current source density or scalp current density maps).…”

Section: Meg Compared To Eegmentioning

confidence: 99%

Electrophysiological signatures: Magnetoencephalographic studies of the neural correlates of language impairment in autism spectrum disorders

Roberts

Schmidt

Egeth

et al. 2008

International Journal of Psychophysiology

View full text Add to dashboard Cite

While magnetoencephalography (MEG) is of increasing utility in the assessment of pediatric patients with seizure disorders, this indication reflects only a part of the clinical potential of the technology. Beyond epilepsy, a broad range of developmental psychiatric disorders require the combined offerings of spatial and temporal resolution, along with direct sensitivity to neural electrical activity, that are offered by MEG. This article reviews the application of MEG in the study of auditory processing as an aspect of language impairment in children. Potential application is elaborated in the clinical case of autism spectrum disorders, a devastating disorder with prevalence of 1 in 150, poorly served by alternative imaging modalities. MEG offers both spatial and temporal insights, tentatively described as "electrophysiological signatures". Results demonstrate the sensitivity of MEG for detection of abnormalities of auditory processing in ASD and their clinical correlates. These findings offer promise for the comprehensive assessment of developmental neuropsychiatric disorders such as autism, but also suggest avenues for the development of MEG technology to adequately meet the needs of such populations, as well as providing conduits to basic sciences including neurobiology and genetics.

show abstract

Section: Meg Compared To Eegmentioning

confidence: 99%

Electrophysiological signatures: Magnetoencephalographic studies of the neural correlates of language impairment in autism spectrum disorders

Roberts

Schmidt

Egeth

et al. 2008

International Journal of Psychophysiology

View full text Add to dashboard Cite

show abstract

“…Fig. 4 presents the grand mean spherical spline topographical distributions (Perrin et al, 1989) of baseline corrected alpha and g-40 (30±50 Hz) power for the left and right hemisphere for pleasant, neutral and unpleasant pictures. In addition, the back view for all three conditions is presented for the alpha band.…”

Section: Electrophysiological Recordingsmentioning

confidence: 99%

Processing of affective pictures modulates right-hemispheric gamma band EEG activity

Müller

Keil

Gruber

et al. 1999

Clinical Neurophysiology

252

132

View full text Add to dashboard Cite

The present study was designed to test differential hemispheric activation induced by emotional stimuli in the gamma band range (30±90 Hz). Subjects viewed slides with differing emotional content (from the International Affective Picture System). A signi®cant valence by hemisphere interaction emerged in the gamma band from 30±50 Hz. Other bands, including alpha and beta, did not show such an interaction. Previous hypotheses suggested that the left hemisphere is more involved in positive affective processing as compared to the right hemisphere, while the latter dominates during negative emotions. Contrary to this expectation, the 30±50 Hz band showed relatively more power for negative valence over the left temporal region as compared to the right and a laterality shift towards the right hemisphere for positive valence. In addition, emotional processing enhanced gamma band power at right frontal electrodes regardless of the particular valence as compared to processing neutral pictures. The extended distribution of speci®c activity in the gamma band may be the signature of cell assemblies with members in limbic, temporal and frontal neocortical structures that differ in spatial distribution depending on the particular type of emotional processing. q

show abstract

“…It also does not suffer from some numerical problems that affect its main alternatives, but has the downside of relying on assumptions that are quite questionable empirically. In a further development, mesh-free methods (Perrin et al, 1987b(Perrin et al, ,a, 1989 were introduced, eliminating problems encountered in finite difference, but other issues emerged, some of which still need attention. Our goal here is to review both types of approaches and emphasize issues related to each.…”

Section: Methodsmentioning

confidence: 99%

“…It emerged back in the 1970's, from the seminal works of Nicholson (1973), , , and Hjorth (1975). These works were followed by efforts to develop better computational methods (see Gevins, 1988Gevins, , 1989Gevins et al, 1990;Perrin et al, 1989;Law et al, 1993a;Yao, 2002;Carvalhaes and Suppes, 2011) as well as attempts to combine the surface Laplacian with other methods (Kayser and Tenke, 2006b,a;Carvalhaes et al, 2009), making the technique increasingly popular among EEG researchers. For instance, modern applications include studies on generators of event-related potentials (Kayser and Tenke, 2006b,a), quantitative EEG (Tenke et al, 2011), spectral coherence , event-related synchronization/desynchronization (Del Percio et al, 2007), phase-lock synchronization (Doesburg et al, 2008), estimation of cortical connectivity (Astolfi et al, 2007), high-frequency EEG Fitzgibbon et al (2013), and brain-computer interface (Lu et al, 2013), just to mention a few.…”

Section: Introductionmentioning

confidence: 99%

The surface Laplacian technique in EEG: Theory and methods

Carvalhaes¹,

Barros

2015

International Journal of Psychophysiology

View full text Add to dashboard Cite

This paper reviews the method of surface Laplacian differentiation to study EEG. We focus on topics that are helpful for a clear understanding of the underlying concepts and its efficient implementation, which is especially important for EEG researchers unfamiliar with the technique. The popular methods of finite difference and splines are reviewed in detail. The former has the advantage of simplicity and low computational cost, but its estimates are prone to a variety of errors due to discretization. The latter eliminates all issues related to discretization and incorporates a regularization mechanism to reduce spatial noise, but at the cost of increasing mathematical and computational complexity. These and several others issues deserving further development are highlighted, some of which we address to the extent possible. Here we develop a set of discrete approximations for Laplacian estimates at peripheral electrodes and a possible solution to the problem of multiple-frame regularization. We also provide the mathematical details of finite difference approximations that are missing in the literature, and discuss the problem of computational performance, which is particularly important in the context of EEG splines where data sets can be very large. Along this line, the matrix representation of the surface Laplacian operator is carefully discussed and some figures are given illustrating the advantages of this approach. In the final remarks, we briefly sketch a possible way to incorporate finite-size electrodes into Laplacian estimates that could guide further developments.

show abstract

Spherical splines for scalp potential and current density mapping

Cited by 2,430 publications

References 7 publications

Electrophysiological signatures: Magnetoencephalographic studies of the neural correlates of language impairment in autism spectrum disorders

Electrophysiological signatures: Magnetoencephalographic studies of the neural correlates of language impairment in autism spectrum disorders

Processing of affective pictures modulates right-hemispheric gamma band EEG activity

The surface Laplacian technique in EEG: Theory and methods

Contact Info

Product

Resources

About