小蛋白的马尔科夫状态模型中的不确定性
Nicolai Kozlowski1, Helmut Grubmüller1
1Department of Theoretical and Computational Biophysics, Max-Planck-Institute for Multidisciplinary Sciences, Göttingen 37077, Germany.
Journal of chemical theory and computation
|August 4, 2023
概括
马尔科夫状态模型 (MSM) 分析蛋白质动态,但面临采样不确定性. 这项研究量化了这些,发现采样不足是最大的问题,为轨迹长度和结构提供了指导方针.
科学领域:
- 计算生物学 计算生物学
- 生物物理学的生物物理.
- 蛋白质动力学 蛋白质动力学
背景情况:
- 马尔科夫状态模型 (MSM) 对于从分子动力学 (MD) 模拟中分析蛋白质动力学至关重要.
- 从MSM中提取功能相关的时间表和动作往往受到重大不确定性的阻碍.
- 采样不足是一个主要问题,特别是在蛋白质等较大的生物分子中.
研究的目的:
- 在马尔科夫状态模型中全面量化和排名所有不确定性来源.
- 为实现蛋白质动态分析所需的准确性提供有关必要采样的指导方针.
- 为了比较来自样本不足的不确定性贡献与其他因素,如模型参数和有限的观察过渡.
主要方法:
- 对四种小球状蛋白质的分子动力学模拟的分析.
- 从采样中产生的不确定性的量化和排名,马尔科夫状态数,滞后时间和维度缩小.
- 来自单个长轨迹与多个短轨迹的不确定性比较.
主要成果:
- 样本采集不足被确定为MSM的主要不确定性来源.
- 发现了一个关键轨迹长度 (T),超出这个长度后不确定性就会降低,提供了抽样指南.
- 单个长轨迹提供了比多个短轨迹更好的采样准确性.
- 贝叶斯不确定性估计只捕获总不确定性的一小部分,往往导致低估.
结论:
- 了解和量化不确定性对于使用MSM进行可靠的蛋白质动态分析至关重要.
- 包括轨迹长度在内的最佳采样策略可以显著提高MSM的准确性.
- 当前的共同不确定性估计,就像贝叶斯方法一样,可能会大大低估真正的不确定性.
相关概念视频
Physiological Pharmacokinetic Models: Assumption with Protein Binding
70
Physiological models with protein binding in pharmacokinetics offer a sophisticated approach to understanding drug disposition. These models consider drug-protein interactions, enabling them to effectively predict drug concentrations in different organs and tissues. This precision aids in accurate drug dosing, providing a significant advantage over conventional models. A key process within these models is equilibration, which ensures that drug concentrations achieve a steady state within the...
70
Cooperative Allosteric Transitions
7.9K
Cooperative allosteric transitions can occur in multimeric proteins, where each subunit of the protein has its own ligand-binding site. When a ligand binds to any of these subunits, it triggers a conformational change that affects the binding sites in the other subunits; this can change the affinity of the other sites for their respective ligands. The ability of the protein to change the shape of its binding site is attributed to the presence of a mix of flexible and stable segments in the...
7.9K
Propagation of Uncertainty from Systematic Error
554
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...
554
Covalently Linked Protein Regulators
6.9K
Proteins can undergo many types of post-translational modifications, often in response to changes in their environment. These modifications play an important role in the function and stability of these proteins. Covalently linked molecules include functional groups, such as methyl, acetyl, and phosphate groups, and also small proteins, such as ubiquitin. There are around 200 different types of covalent regulators that have been identified.
These groups modify specific amino acids in a protein....
These groups modify specific amino acids in a protein....
6.9K
Propagation of Uncertainty from Random Error
726
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
726
The Uncertainty Principle
23.5K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
23.5K


