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Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
Radiation: Applications01:17

Radiation: Applications

The average temperature of Earth is the subject of much current discussion. Earth is in radiative contact with both the Sun and dark space; it receives almost all its energy from the radiation of the Sun and reflects some of it into outer space. Dark space is very cold, about 3 K, so Earth radiates energy into it. For instance, heat transfer occurs from soil and grasses, the rate of which can be so rapid that frost can occur on clear summer evenings, even in warm latitudes.
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Radiation Pressure: Problem Solving01:09

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The radiation pressure applied by an electromagnetic wave on a perfectly absorbing surface equals the energy density of the wave. The wave's momentum also gets transferred to the surface when an electromagnetic wave is entirely absorbed by it. The rate at which momentum is transmitted to an absorbing surface perpendicular to the propagation direction equals the force on the surface.
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Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
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Directional radiation patterns are central to antenna analysis, as they illustrate how signal strength varies with direction. These patterns are often modeled using polar plots, where the radial distance from the origin represents signal intensity at a given angle. A commonly used idealized form is the four-lobed rose curve, which captures the concept of directional beams in a simplified mathematical form.The four-lobed rose curve, described by r = cos⁡(2θ), features four symmetric lobes, each...

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在格子辐射疗法中确定顶点的优化方法.

Pan Ma1, Yingjie Xu1, Yuhe Yao1

  • 1Department of Radiation Oncology, National Cancer Center/National Clinical Research Center for Cancer/Cancer Hospital, Chinese Academy of Medical Sciences and Peking Union Medical College, Beijing, China.

Frontiers in oncology
|May 15, 2025
PubMed
概括
此摘要是机器生成的。

这项研究引入了晶格放射疗法 (LRT) 目标的优化方法,显著改善了峰值-谷值剂量差异,提高了治疗精度. 适应模拟回火 (ASA) 优化有效地完善了LRT中的顶点位置.

关键词:
适应模拟火的适应模拟火最接近的包装.这是一个格子格子.优化的优化优化优化.峰值到谷地指数的峰值到谷地指数.

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科学领域:

  • 医学物理 医学物理
  • 辐射瘤学 辐射瘤学
  • 计算生物学 计算生物学

背景情况:

  • 格子辐射疗法 (LRT) 旨在改善剂量分配.
  • 提高高峰和低谷剂量之间的对比对于治疗的有效性至关重要.
  • 目前优化LRT目标排列的方法需要改进.

研究的目的:

  • 开发和验证一个优化方法来安排晶格放射疗法 (LRT) 的目标.
  • 为了提高LRT中的峰值到谷地剂量指数 (PVI).
  • 为了提高放射治疗的治疗效率和精度.

主要方法:

  • 一个四步优化过程,涉及到体积生成,初始顶点放置和自适应模拟化 (ASA).
  • 使用初始 (Plan_Clo) 和优化 (Plan_Opt) 顶点进行体积调制弧线疗法 (VMAT) 计划的回顾性再生.
  • 使用峰值到谷地指数 (PVI) 评估绩效.

主要成果:

  • 使用ASA优化方法观察到平均PVI的统计学显著改善 (p = 0.000).
  • 优化计划 (Plan_Opt) 与最接近的包装 (Plan_Clo) 相比,优化计划的平均PVI比率为5.95±4.87.
  • 优化方法表明,高峰到低谷剂量差异的实质性增强.

结论:

  • 对于LRT目标顶点的提议优化方法得到了验证,并显著改善了PVI.
  • 适应模拟回火 (ASA) 与最接近的包装相结合,有效地增强了LRT的峰值-山谷剂量差异.
  • 这种方法显示了推进辐射治疗规划的潜力.