估计罕见事件动力学里程碑中的第一个冲击点分布
Ru Wang1, Hao Wang1, Wenjian Liu1
1Qingdao Institute for Theoretical and Computational Sciences, Institute of Frontier and Interdisciplinary Science, Shandong University, Qingdao, Shandong 266237, P. R. China.
Journal of chemical theory and computation
|September 11, 2023
概括
新的里程碑测量方法 (LPT-M和BI-M) 准确地近似了罕见事件动力学计算的第一个撞击点分布,比传统方法提高了平均第一个穿越时间的准确性.
科学领域:
- 计算化学计算化学
- 统计力学 统计力学
- 化学动力学 化学动力学
背景情况:
- 里程碑测量是一种计算方法,用于计算罕见事件动力学.
- 里程碑的准确性依赖于短轨迹的初始分布.
- 真正的初始分布,第一个冲击点分布 (FHPD),缺乏一般的分析解决方案.
研究的目的:
- 开发准确和高效的算法,用于在平衡系统中近似FHPD.
- 为了提高 Milestoning 中平均首次通行时间 (MFPT) 计算的准确性.
- 为现有的里程碑测量方法提供具有成本效益的替代方案.
主要方法:
- 引入了局部通道时间加权里程碑 (LPT-M) 和贝叶斯推理里程碑 (BI-M).
- 方法通过从博尔茨曼分布中取样的权重轨迹来近似FHPD.
- 为非平衡静止FHPD开发了一种代校正算法.
主要成果:
- 与经典的里程碑测量 (CM) 相比,LPT-M和BI-M都显著提高了MFPT的准确性.
- BI-M涵盖了Hamiltonian动态的定向里程碑.
- 随着里程碑的增加,LPT-M在计算成本和稳定性方面提供了优势.
结论:
- LPT-M和BI-M为FHPD提供了准确和高效的近似值.
- 开发的方法提高了罕见事件动力学计算的可靠性.
- 代校正算法提供了一个比精确里程碑测试 (ExM) 更便宜的准确MFPT路径.
相关概念视频
Noncompartmental Analysis: Statistical Moment Theory
132
Noncompartmental analyses leverage statistical moment theory to examine time-related changes in macroscopic events, encapsulating the collective outcomes stemming from the constituent elements in play. Statistical moment theory is a mathematical approach used to describe the time course of drug concentration in the body without assuming a specific compartmental model. SMT provides insights into drug absorption, distribution, metabolism, and elimination by treating drug concentration versus time...
132
Poisson Probability Distribution
8.3K
A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
The...
The...
8.3K
Kaplan-Meier Approach
178
The Kaplan-Meier estimator is a non-parametric method used to estimate the survival function from time-to-event data. In medical research, it is frequently employed to measure the proportion of patients surviving for a certain period after treatment. This estimator is fundamental in analyzing time-to-event data, making it indispensable in clinical trials, epidemiological studies, and reliability engineering. By estimating survival probabilities, researchers can evaluate treatment effectiveness,...
178
Maxwell-Boltzmann Distribution: Problem Solving
1.6K
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).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
1.6K
Distribution of Molecular Speeds
4.0K
The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
4.0K
Noncompartmental Analysis: Mean Residence Time
185
According to statistical moment theory, mean residence time (MRT) is an important measure in pharmacokinetics. MRT can be defined as the expected mean of a probability density function distribution. It provides valuable insights into drug disposition in the body.
After the administration of a drug through intravenous bolus injection, the drug molecules are distributed throughout the body and remain there for varying periods. The MRT represents the average time these drug molecules stay in the...
After the administration of a drug through intravenous bolus injection, the drug molecules are distributed throughout the body and remain there for varying periods. The MRT represents the average time these drug molecules stay in the...
185


