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相关概念视频

Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

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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.
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Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

1000
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...
1000
Magnetic Susceptibility and Permeability01:31

Magnetic Susceptibility and Permeability

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In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of proportionality, a dimensionless number, is called magnetic susceptibility. The value of the susceptibility depends on the type of material.
When diamagnetic materials are placed under an external magnetic field, the moments opposite to the field are induced. Hence, the susceptibility for diamagnets has a minimal negative value of 10-5–10-6. Since...
1.2K
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

513
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...
513
Magnetic Vector Potential01:15

Magnetic Vector Potential

688
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic field ensures that the magnetic field can be expressed as the curl of a vector potential. This potential is known as the magnetic vector potential.
Consider an ideal solenoid with n turns per unit length and radius R. If I is the current through the solenoid, the magnetic field inside the solenoid is expressed as the product of vacuum...
688
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

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The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
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相关实验视频

Updated: Jul 19, 2025

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
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In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

Published on: September 2, 2016

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将接口透性纳入扩散MRI信号表示,同时使用不透的拉普拉斯固有函数.

Zheyi Yang1, Chengran Fang1, Jing-Rebecca Li1

  • 1Equipe IDEFIX, INRIA Saclay, UMA, ENSTA PARIS, Palaiseau, France.

Physics in medicine and biology
|August 14, 2023
PubMed
概括
此摘要是机器生成的。

这项研究引入了一种新的方法,用于计算在透性组织中的扩散磁共振成像 (MRI) 信号. 这种新方法显著加快了计算速度,使得未来对透性的研究成为可能.

关键词:
布洛赫托雷方程式扩散磁共振成像技术的使用.矩阵形式主义 矩阵形式主义透性 透性的

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Diffusion Imaging in the Rat Cervical Spinal Cord
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A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates

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相关实验视频

Last Updated: Jul 19, 2025

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
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In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

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Diffusion Imaging in the Rat Cervical Spinal Cord
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Diffusion Imaging in the Rat Cervical Spinal Cord

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A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates
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科学领域:

  • 生物物理学的生物物理.
  • 医疗成像医学成像
  • 计算建模 计算建模

背景情况:

  • 在透介质中的扩散磁共振成像 (MRI) 信号是通过布洛赫-托雷方程建模的.
  • 目前的方法需要高效的前解决方案来估计透性,这是计算密集的.
  • 在拉普拉斯固有函数的基础上表示扩散MRI信号是一种已知的技术.

研究的目的:

  • 开发一种新的配方,用于在透介质中进行扩散MRI信号表示.
  • 为了能够有效地计算各种透度值的前置解决方案.
  • 为了减少扩散MRI数据分析的计算时间.

主要方法:

  • 为透扩散MRI信号表示提出了一种新配方.
  • 使用拉普拉斯基的介质的固有函数与不透的接口的基础.
  • 用两个扩散MRI序列数值验证了该方法.

主要成果:

  • 证明了新和原始配方之间的理论等价性,具有完全自主分解.
  • 证明了有希望的数值结果与部分 eigendecomposition.
  • 在不同扩散MRI序列中展示了新方法的数值有效性.

结论:

  • 新的配方允许在所有透度值中提供一致的基础 (无透).
  • 这大大减少了扩散MRI信号分析的计算时间.
  • 促进未来研究透系数对扩散MRI信号的影响.