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相关概念视频

Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

75
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...
75
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

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Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
198
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

81
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
81
Typical Model Studies01:30

Typical Model Studies

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Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
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相关实验视频

Updated: May 21, 2025

Finite Element Modelling of a Cellular Electric Microenvironment
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现实的闭式TCP模型,包括细胞灵敏度依赖.

Katerine Viviana Díaz Hernández1,2, Uwe Schneider1,2, Jürgen Besserer1

  • 1Medical Physics, Radiotherapy Hirslanden, Witellikerstrasse 40, Zürich CH-8032, Switzerland.

Physics in medicine and biology
|March 17, 2025
PubMed
概括

这项研究引入了一种新的瘤控制概率 (TCP) 模型,该模型考虑了患者瘤大小和细胞敏感度的变化. 该模型准确地预测了非小细胞肺癌 (NSCLC) 患者的局部控制.

关键词:
在NSCLCLC中,我们可以看到.分析模型是一种分析模型.不同质性的异质性线性-正方形的线性-正方形.

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相关实验视频

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科学领域:

  • 辐射瘤学 辐射瘤学
  • 数学建模的数学建模
  • 癌症治疗方法 癌症治疗方法

背景情况:

  • 对于瘤控制概率 (TCP) 的标准线性二次 (LQ) 模型在考虑患者间变异性方面存在局限性.
  • 瘤体积和细胞辐射敏感度的差异显著影响队列中的治疗结果.
  • 对于个性化和基于人口的癌症治疗策略,需要一个更强大的TCP模型.

研究的目的:

  • 开发LQ-TCP模型的机械延伸,包括瘤体积和细胞灵敏度变化.
  • 在TCP框架内引入局部控制 (LC) 的指数时间依赖.
  • 通过对早期非小细胞肺癌 (NSCLC) 患者的临床数据验证拟议的人口TCP模型.

主要方法:

  • 从第一原则中获得了人口TCP的新型闭式表达式.
  • 将瘤体积和细胞敏感性的个体间变化纳入LQ模型.
  • 将模型与22个NSCLC数据集相匹配,使用日志概率算法分析了1675个病变.

主要成果:

  • 具有瘤体积和细胞辐射敏感度均分布的人口TCP模型为关键放射生物学参数提供了显著的匹配 (p < 0.05).
  • 与使用高斯式或日志正常辐射敏感度分布的模型相比,实现了更好的适应.
  • 估计的群体参数:平均细胞灵敏度 (α ̄U),带宽 (Δα),β,特征时间 (t1/2) 和细胞翻倍时间 (Td).

结论:

  • 一个新的封闭型人群TCP模型成功地衍生出来,考虑到细胞敏感性和瘤大小异质性.
  • 通过将LC作为后续时间的指数函数建模,建立了TCP和LC之间的关系.
  • 衍生模型直接适用于临床数据集,可以从人口放射生物参数进行个人TCP估计.