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相关概念视频

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

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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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Calibration Curves: Linear Least Squares01:20

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A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
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A Venturi meter is essential for measuring fluid flow rates in pipelines. It utilizes the relationship between fluid velocity and pressure described by Bernoulli's equation. When installed in a sewage system, the Venturi meter accurately determines the wastewater flow rate by measuring pressure differences.
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Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
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In the middle of the nineteenth century, it was observed that two trains passing each other at a high relative speed get pulled towards each other. The same occurs when two cars pass each other at a high relative speed. The reason is that the fluid pressure drops in the region where the fluid speeds up. As the air between the trains or the cars increases in speed, its pressure reduces. The pressure on the outer parts of the vehicles is still the atmospheric pressure, while the resultant...
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Surrogate Model Development for Digital Experiments in Welding
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贝叶斯式Windkessel校准使用优化的零维替代模型.

Jakob Richter1,2, Jonas Nitzler2,3, Luca Pegolotti1,4

  • 1Department of Pediatrics, Stanford University, Stanford, CA, USA.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
|March 13, 2025
PubMed
概括
此摘要是机器生成的。

这项研究引入了一种高效的贝叶斯方法,用于心血管流体动力学模拟. 它使用来自单个3D模拟的0D替代模型来准确估计Windkessel参数后部,降低计算成本.

关键词:
贝叶斯的不确定性量化方法连续的蒙特卡洛系列边界条件 边界条件心血管疾病的心血管疾病一次性参数网络是一次性参数网络.

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科学领域:

  • 计算流体动力学的流体动力学.
  • 生物医学工程 生物医学工程
  • 不确定性量化不确定性的量化.

背景情况:

  • 贝叶斯边界条件 (BC) 校准量化了心血管流体动力学模拟中的不确定性.
  • 在3D模拟中估计所有BC参数的后部分布是无法计算的.

研究的目的:

  • 开发一种有效的方法来识别心血管流体动力学的Windkessel参数后部.
  • 为了减少贝叶斯风校准的计算需求.

主要方法:

  • 用单个3D模拟来创建一个高度准确的0D代用模型.
  • 序列蒙特卡洛 (SMC) 在0D替代体上进行,以导出高维的Windkessel BC后部分布.
  • 优化0D模型以*先验*匹配3D数据显著降低了近似误差.

主要成果:

  • 优化的0D模型在72个血管模型中实现了近一个数量级的较低中位近似误差.
  • 0D模型对各种边界条件有很好的概括性.
  • SMC成功评估了高维的Windkessel参数后部,与3D后部进行了验证.

结论:

  • 拟议的方法显著提高了贝叶斯风校准在心血管流体动力学的效率和可访问性.
  • 最小的计算需求和开源实现促进了更广泛的采用.
  • 这种方法有助于量化复杂生理模拟中的不确定性.