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Related Concept Videos

Applications of EMF Measurements01:26

Applications of EMF Measurements

Electromotive force (EMF) measurements have a broad range of applications in various fields, including chemistry and physics. The electrochemical series, an arrangement of elements in order of their standard electrode potentials, can be determined through EMF measurements. Elements with lower standard potentials can reduce ions of elements with higher standard potentials.The standard cell potential, E°, allows for the calculation of the standard reaction Gibbs energy, ΔG°, and the equilibrium...
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
Electromagnetic Fields01:30

Electromagnetic Fields

Electric fields generated by static charges, often referred to as electrostatic fields, are characteristically different from electric fields created by time-varying magnetic fields. While the former is a conservative field, implying that no net work is done on a test charge if it goes around in a complete loop in the field, the latter is, by definition, not a conservative field; net work is done, and it is proportional to the rate of change of magnetic flux.
However, the observation of Gauss's...
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.

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Detecting Pre-Stimulus Source-Level Effects on Object Perception with Magnetoencephalography
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OpenMEEG: opensource software for quasistatic bioelectromagnetics.

Alexandre Gramfort1, Théodore Papadopoulo, Emmanuel Olivi

  • 1Athena Project Team, INRIA Sophia Antipolis Méditerranée, France. alexandre.gramfort@inria.fr

Biomedical Engineering Online
|September 8, 2010
PubMed
Summary
This summary is machine-generated.

OpenMEEG software offers state-of-the-art accuracy for bioelectromagnetic forward computations, outperforming other methods. It provides a user-friendly and efficient solution for researchers in electro- and magneto-encephalography.

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Area of Science:

  • Bioelectromagnetism
  • Computational neuroscience
  • Medical physics

Background:

  • Realistic physiological models and accurate numerical solvers are crucial for interpreting bioelectromagnetic phenomena.
  • Piecewise constant conductivity models simplify meshing for Boundary Element Methods (BEM) but face accuracy issues with high conductivity ratios, such as in electroencephalography (EEG).
  • The symmetric BEM, implemented in OpenMEEG, was developed to address these accuracy limitations.

Purpose of the Study:

  • To present the OpenMEEG software, detailing its theoretical underpinnings and practical applications.
  • To benchmark OpenMEEG's performance against other available forward solvers in electro- and magneto-encephalography (MEG).

Main Methods:

  • A benchmark study was conducted using spherical models with known analytical solutions for electro- and magneto-encephalography.
  • Randomized meshes were employed to evaluate accuracy variability, using Relative Difference Measure and Magnitude ratio as accuracy metrics.
  • Comparisons were made with a constant number of mesh nodes and a constant number of unknowns, alongside computational time analysis.

Main Results:

  • OpenMEEG demonstrated superior accuracy compared to other methods, particularly in electroencephalography.
  • Linear collocation methods were fast but less accurate; isolated skull approaches improved accuracy.
  • OpenMEEG achieved comparable speeds to other methods for a constant number of unknowns and was faster for a given accuracy level.

Conclusions:

  • OpenMEEG represents the current state-of-the-art for bioelectromagnetic forward computations.
  • The software is designed for ease of use and integration with other packages, facilitating adoption by the research community.
  • OpenMEEG offers a valuable tool for bioelectromagnetic research with minimal development effort.