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云计算-RNA分子力场中静电能项的改进计算.pdf
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云计算-RNA分子力场中静电能项的改进计算.pdf
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III
IMPROVED CALCULATION OF ELECTROSTATIC
ENERGY TERM IN FORCE FIELD FOR RNA
MOLECULES
Abstract
Force fields are becoming more and more important in scientific research. The
research methods using molecular force field simulation have the advantage of lower
cost and accurate observation of detailed information at each moment in chemical
reaction compared with traditional experiments. RNA is not only a carrier of biological
genetic information, it plays many important roles in the physiology of animals and
humans, and researchers are finding more and more other functions in scientific
experiments.
At present, force fields for RNA typically employ a point charge model of
electrostatics, which does not provide a realistic quantum-mechanical picture, and the
prediction effect is poor. In reality, electron distributions around nuclei are not
spherically symmetric and are geometry dependent, which has defined by quantum
chemical topology theory. Force field, which takes multipole moments and anisotropy
of electron cloud into account, is described, and its applicability to modeling the
behavior of RNA molecules is investigated. A 10-nucleotide RNA(PDB code: 2MVY)
is selected as representative system for study, contains five elements of C, H, O, N, P,
and 15 types of atom-atom interactions. Fragments (phosphate, sugar, base, phosphate-
sugar, sugar-base, nucleotide) are separated and then “capped” according to the
principle of restoring its chemical environment in RNA as much as possible and the
atom-atom electrostatic interaction energy is calculated using atomic multipole
moments. The minimum convergence internuclear distance of the electrostatic energy
for 15 atomic interaction types was obtained. Transferability of the multipole moments
model is also investigated. The experiment proved that the model has good
transferability.
The study of the torsion angle of RNA small molecule fragments is also one of the
important research directions for optimizing force field for RNA molecular. 16 small
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IV
molecules cut and capped (according to the principle of restoring its chemical
environment in RNA as much as possible) from 2MVY, and energy minima of each
molecules are obtained. Geometries were optimized at the HF/6-31G(d,p), B3LYP/apc-
1, and MP2/cc-pVDZ levels of theory using Gaussian09. The number of energy minima
is related to the size and the flexibility of the molecule. The torsion angles of α, β, γ, δ,
ε, ξ and χ of RNA were analyzed. Multipole moments of atoms occurring in the common
fragment [HO-P(O
3
)-CH
2
-] of 30 phosphate-sugar-phosphate minima were calculated
at the first two levels of theory mentioned above. The energy minima always have
extreme value despite levels of theory. Moreover, we explored the transferability of
properties between different minima. The atomic multipole moments are highly
transferable between different minima, and the standard deviations are small.
The works above have proved availability and importance of atomic multipole
moments in force field for RNA molecular. However, using of integral methods to
calculate the atomic multipole moments is expensive, especially when using higher
level of theory. Using machine learning to predict the atomic multipole moments in
RNA molecular can greatly reduce the computational expense. In this work, the method
of fully connected neural network was used for research and prediction of atomic
multipole moments, and good experimental results were obtained. In the improved
experiment, the structure reject hydrogen atom was used to predict the atomic multipole
moments, and the experimental results were greatly improved, which proves the
redundancy of the position information of the H atom, and indicates that the influence
of H atom on the distribution of RNA electron cloud is insignificant, and it can be
ignored, which also proves the rationality of using hydrogen atom to cap the structure
in our research process simultaneously.
Keywords: quantum chemical topology, RNA, atomic multipole moments, force
field for molecular, fully connected neural network
万方数据
V
目 录
摘要 ............................................................................................................. I
Abstract ..................................................................................................... III
第一章 绪论 ............................................................................................. 1
1.1 研究背景 .......................................................................................................... 1
1.2 研究现状 .......................................................................................................... 2
1.3 本文的主要工作 .............................................................................................. 5
1.4 本文的结构安排 .............................................................................................. 6
第二章 相关理论介绍 ............................................................................ 7
2.1 分子力场 .......................................................................................................... 7
2.1.1 原子-原子相互作用静电能 ...................................................................... 7
2.1.2 原子性质的可转移性 ............................................................................... 7
2.2 量子化学拓扑(QCT)理论 ............................................................................... 8
2.2.1 原子多级距 ............................................................................................... 9
2.2.2 原子局部坐标体系 ................................................................................. 10
2.3 机器学习 ........................................................................................................ 10
第三章 RNA 分子力场中原子间静电能精确度的改进 ..................... 12
3.1 实验数据 ........................................................................................................ 12
3.1.1 切割与饱和 ............................................................................................. 13
3.2 计算过程和细节 ............................................................................................ 15
3.3 结果和讨论 .................................................................................................... 15
3.3.1 6D 与 L = 10 原子多级距的对比 ............................................................ 17
3.3.2 原子-原子相互作用的最小收敛距离 .................................................... 18
3.3.3 原子多级距等级与核间距关系 ............................................................. 20
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VI
3.3.4 不同误差下多级距等级和核间距的关系 ............................................. 22
3.3.5 从 2MVY 到其他 RNA 分子的可转移性 ............................................. 24
3.4 评估实验方法对结果的影响 ........................................................................ 25
3.4.1 理论水平的影响 ..................................................................................... 25
3.4.2 切割饱和的影响 ..................................................................................... 26
3.4.3 原子邻域的影响 ..................................................................................... 30
3.5 本章结论 ........................................................................................................ 34
第四章 RNA 小分子片段的能量最小稳定构象的研究 ..................... 35
4.1 计算过程和计算细节 .................................................................................... 35
4.1.1 能量最小稳定构象 ................................................................................. 35
4.2 结果和讨论 .................................................................................................... 37
4.2.1 扭转角 ..................................................................................................... 37
4.2.2 不同分子的能量最小稳定构象数量 ..................................................... 39
4.2.3 全局能量最小稳定构象的扭转角 ......................................................... 43
4.2.4 不同理论水平的原子多级距 ................................................................. 46
4.3 本章结论 ........................................................................................................ 52
第五章 基于机器学习方法的原子多级距预测 .................................. 53
5.1 实验细节 ........................................................................................................ 53
5.1.1 数据集 ..................................................................................................... 53
5.1.2 实验细节 ................................................................................................. 54
5.2 实验结果展示 ................................................................................................ 56
5.2.1 初始实验结果展示 ................................................................................. 56
5.2.2 改进实验和结果展示 ............................................................................. 56
5.2.3 神经网络预测原子多级距的优势 ......................................................... 58
5.3 本章总结 ........................................................................................................ 59
万方数据
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