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相关概念视频

Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

935
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...
935
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

1.6K
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...
1.6K
Fast Decoupled and DC Powerflow01:24

Fast Decoupled and DC Powerflow

728
The fast decoupled power flow method addresses contingencies in power system operations, such as generator outages or transmission line failures. This method provides quick power flow solutions, essential for real-time system adjustments. Fast decoupled power flow algorithms simplify the Jacobian matrix by neglecting certain elements, leading to two sets of decoupled equations:
728
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

1.3K
Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
1.3K
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

425
Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
425
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

1.9K
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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相关实验视频

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Cortical Source Analysis of High-Density EEG Recordings in Children
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Cortical Source Analysis of High-Density EEG Recordings in Children

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使用相互边界元素快速多极方法进行高清MEG源估计.

Guillermo Núñez Ponasso1, Derek A Drumm2, Abbie Wang2

  • 1Department of Electrical & Computer Engineering, Worcester Polytechnic Institute, Worcester, MA, USA; Graduate School of Information Sciences, Division of Mathematics, Tohoku University, Sendai, Miyagi, Japan.

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概括
此摘要是机器生成的。

这项研究引入了一种更快的方法,通过有效计算增益矩阵来估计磁大脑图 (MEG) 源. 这种计算进步使得高分辨率的大脑成像能够达到100万个双极.

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科学领域:

  • 生物物理学的生物物理.
  • 神经科学是一个神经科学.
  • 计算科学 计算科学

背景情况:

  • 磁脑电图 (MEG) 源估计需要计算增益 (场) 矩阵,这是一个计算密集的过程.
  • 使用现实的前模型直接计算增强矩阵,将标准MEG管道限制在约10,000个双极源.
  • 高效的增益矩阵计算对于推进高分辨率MEG源本地化至关重要.

研究的目的:

  • 开发一种快速的计算方法来计算MEG增益矩阵.
  • 为了使高分辨率的源估计与显著更多的二极管比以前可行的.
  • 用模拟和实验MEG数据验证拟议的方法.

主要方法:

  • 利用MEG和跨磁刺激 (TMS) 之间的相互关系.
  • 将这种相互关系与基于电荷的边界元素快速多极方法 (BEM-FMM) 结合起来.
  • 为高分辨率的多层非嵌套网格生成增强矩阵,最多有100万个双极.

主要成果:

  • 成功生成了源空间的增强矩阵,可达100万个二极管.
  • 在模拟和实验MEG数据上以高精度执行最小规范估计 (MNE) 源定位.
  • 与标准的1层和3层边界元素方法 (BEM) 和有限元素方法 (FEM) 模型相比,证明了方法的有效性.

结论:

  • 提出的快速计算方法显著提高了MEG增益矩阵计算的效率.
  • 这种方法允许前所未有的高分辨率MEG源估计,克服了以前的计算限制.
  • 经过验证的方法为先进的神经成像研究提供了一个强大的工具.