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相关概念视频

Distribution and Dispersion00:54

Distribution and Dispersion

21.8K
To understand intra-specific interactions in populations, scientists measure the spatial arrangement of species individuals. This geographic arrangement is known as the species distribution or dispersion. Highly territorial species exhibit a uniform distribution pattern, in which individuals are spaced at relatively equal distances from one another. Species that are highly tied to particular resources, such as food or shelter, tend to concentrate around those resources, and thus exhibit a...
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Discrete-Time Fourier Series01:20

Discrete-Time Fourier Series

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The Discrete-Time Fourier Series (DTFS) is a fundamental concept in signal processing, serving as the discrete-time counterpart to the continuous-time Fourier series. It allows for the representation and analysis of discrete-time periodic signals in terms of their frequency components. Unlike its continuous counterpart, which utilizes integrals, the calculation of DTFS expansion coefficients involves summations due to the discrete nature of the signal.
For a discrete-time periodic signal x[n]...
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Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

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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...
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Discrete Fourier Transform01:15

Discrete Fourier Transform

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The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
294
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

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Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
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相关实验视频

Updated: Jul 7, 2025

Finite Element Modelling of a Cellular Electric Microenvironment
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在使用有限元素方法软件的时间域中的生物分散.

Raul Guedert1, Daniella L L S Andrade2, Guilherme B Pintarelli3

  • 1Department of Electrical and Electronic Engineering, Centre of Technology, Institute of Biomedical Engineering, Federal University of Santa Catarina, Florianopolis, 88040-900, Brazil. raulguedert@gmail.com.

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|December 21, 2023
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概括

这项研究使用有限元素方法软件在时间域实现了生物介电分散. 这种方法准确地模拟了土豆的电特性,并预测了脉冲电压下的电流.

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科学领域:

  • 电气工程 电气工程
  • 生物物理学的生物物理.
  • 计算电磁学 计算机电磁学

背景情况:

  • 生物组织在广泛的频率范围 (DC到GHz) 中表现出显著的介电分散.
  • 对这种分散的准确建模对于分析生物系统中的电过渡现象至关重要.
  • 商业有限元法 (FEM) 软件往往缺乏对时间域生物分散的直接支持.

研究的目的:

  • 在商业FEM软件中描述时间域生物分散的实现.
  • 开发一种方法来使用多极德拜模型来表示复杂的生物分散.
  • 通过模拟比较和电流分析来验证开发的方法.

主要方法:

  • 使用遗传算法将Solanum tuberosum (土豆) 的实验分散数据与4极德拜分散模型相匹配.
  • 导出了辅助微分方程,将频域多极德拜分散转换为时间域.
  • 时间域模型在商用FEM软件COMSOL Multiphysics中实现.

主要成果:

  • 四极德拜分散模型成功地代表了S. tuberosum从40 Hz到10 MHz的生物分散.
  • 频率和时间域模拟显示出良好的一致性,验证了实施的方法.
  • 在正方形波脉冲电压下对电流的分析表明,该模型能够描述生物分散.

结论:

  • 拟议的计算实现有效地描述了生物介电分散在时间域.
  • 这种方法可以准确预测受过渡电压影响的生物组织中的电流.
  • 该方法增强了对生物环境中的电气现象的工程分析能力.