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相关概念视频

Factors Affecting Activity Coefficient01:17

Factors Affecting Activity Coefficient

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The extended Debye-Hückel equation indicates that the activity coefficient of an ion in an aqueous solution at 25°C depends on three partially interdependent properties: the ionic strength of the solution, the charge of the ion, and the ion size. 
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Thermodynamics: Activity Coefficient01:24

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Activity is the measure of the effective concentration of the species in solution. It can be expressed as the product of the molar concentration of the species and its activity coefficient. The activity coefficient is a dimensionless quantity and depends on the total ionic strength of the solution.
The activity coefficient is a measure of the deviation from ideal behavior. When the ionic strength of the solution is minimal, the activity coefficient of an ionic species is close to unity, making...
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One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

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This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
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Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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Parametric Survival Analysis: Weibull and Exponential Methods01:14

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Parametric survival analysis models survival data by assuming a specific probability distribution for the time until an event occurs. The Weibull and exponential distributions are two of the most commonly used methods in this context, due to their versatility and relatively straightforward application.
Weibull Distribution
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Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
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在单个时间点剂量计中使用贝叶斯适配方法对时间集成活动系数的不确定性分析.

Achmad Faturrahman Jundi1,2, M Dlorifun Naqiyyun3, Bisma Barron Patrianesha1,4

  • 1Medical Physics and Biophysics, Physics Department, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Depok, 16424 Indonesia.

Nuclear medicine and molecular imaging
|April 18, 2024
PubMed
概括

这项研究引入了贝叶斯适配来计算时间集成活性系数 (TIAC) 的不确定性,使用分子放射治疗中的单个时间点方法. 这种贝叶斯适配方法为剂量计中的不确定性分析提供了一种新的方法.

关键词:
变化系数 的变化系数.适合的善良 适合的善良目标功能 目标功能相对偏差的相对偏差标准偏差的标准偏差是什么

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科学领域:

  • 医学物理 医学物理
  • 放射化学 放射化学是指辐射化学.
  • 核医学就是核医学.

背景情况:

  • 精确的时间整合活性系数 (TIAC) 不确定性计算在分子放射治疗中至关重要.
  • 单一时间点 (STP) 方法是剂量计的简化方法,但其不确定性计算仍然未得到充分研究.

研究的目的:

  • 介绍一种基于贝叶斯拟合 (BF) 的新方法,用于在STP剂量计框架内计算单个TIAC的标准偏差 (SD).
  • 为了评估这种基于BF的STP方法的不确定性分析的性能.

主要方法:

  • 利用了177Lu-DOTATATE在脏中的生物动力学数据.
  • 应用了具有扩展目标功能的BF方法,并结合了参数优化的先前知识.
  • 从全时点数据计算了参考TIACs (rTIACs),并将它们与通过BF获得的计算TIACs (cTIACs) 进行比较,使用STP数据的相对 (BFr) 和绝对 (BFa) 差异方法.

主要成果:

  • BF方法证明对所有患者都很适合.
  • 在cTIACs和rTIACs之间相对偏差 (%RD) 的±SD平均值为BFr的7.0±25.2%,BFa.F的2.6±8.9%.
  • 对于单个cTIAC的SD,变化系数 (%CV) 在22-33% (BFa) 和36-78% (BFr) 之间,而rTIAC SD%CV为0.8-49%.

结论:

  • 介绍了BF方法作为在STP剂量计中计算单个TIAC的SD的可行方法.
  • 提出的BF方法为STP剂量计中的不确定性分析提供了潜在的替代方案,提高了分子放射治疗的可靠性.