后边缘化加速了对生物过程动态模型的贝叶斯推理.
Elba Raimúndez1,2, Michael Fedders1, Jan Hasenauer1,2,3
1Life and Medical Sciences (LIMES) Institute, University of Bonn, Bonn, Germany.
iScience
|October 23, 2023
概括
我们开发了一种新的贝叶斯推理方法,以高效地从动态模型的后置分布生成样本. 这种方法显著提高了计算速度,使复杂的分析在科学研究中更容易获得.
科学领域:
- 计算生物学 计算生物学
- 统计建模 统计建模
- 系统生物学 系统生物学
背景情况:
- 贝叶斯推理对于生命和自然科学中的数据分析至关重要,提供参数和预测不确定性.
- 对于复杂的模型来说,生成具有代表性的后部分布样本是计算密集的.
研究的目的:
- 提出一种新的方法来降低动态模型的贝叶斯推理中样本生成的计算复杂性.
- 提高贝叶斯分析的效率,特别是对于具有缩放,偏移和噪声参数的模型.
主要方法:
- 拟议的方法利用后部分布的边缘化.
- 对于涉及结合先验的问题,分析结果是导出的.
- 该方法通过系统生物学中的应用得到了验证.
主要成果:
- 该方法显著降低了样本生成的计算复杂性.
- 在系统生物学应用中,每单位时间的有效样本大小提高了多达50倍.
- 这种方法在各种科学领域都具有广泛的适用性.
结论:
- 开发的方法为动态模型中的贝叶斯推理提供了一个计算效率高的解决方案.
- 这种技术使贝叶斯分析更容易获得,更快速,特别是在系统生物学中.
- 该方案的广泛适用性将推动贝叶斯推理在各种研究领域的推进.
相关概念视频
Mechanistic Models: Compartment Models in Individual and Population Analysis
45
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...
45
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models
74
Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
74
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
57
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
57
Multicompartment Models: Overview
151
Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
151
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models
93
Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
93
Mechanistic Models: Overview of Compartment Models
90
Mechanistic models, a category encompassing both physiological and compartmental modeling, differ from empirical models' approaches to incorporating known factors about the systems being modeled. Empirical models describe data with minimal assumptions, while mechanistic models aim to provide a robust description of available data by specifying assumptions and integrating known factors about the system. Compartmental analysis is a key example of a mechanistic model in pharmacokinetics and...
90


