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Variational determination of the two-electron reduced density matrix: A tutorial review 双电子还原密度矩阵的变量测定:教程回顾
IF 11.4 2区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Pub Date : 2024-01-17 DOI: 10.1002/wcms.1702

The two-electron reduced density matrix (2RDM) carries enough information to evaluate the electronic energy of a many-electron system. The variational 2RDM (v2RDM) approach seeks to determine the 2RDM directly, without knowledge of the wave function, by minimizing this energy with respect to variations in the elements of the 2RDM, while also enforcing known N-representability conditions. In this tutorial review, we provide an overview of the theoretical underpinnings of the v2RDM approach and the N-representability constraints that are typically applied to the 2RDM. We also discuss the semidefinite programming (SDP) techniques used in v2RDM computations and provide enough Python code to develop a working v2RDM code that interfaces to the libSDP library of SDP solvers.

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双电子还原密度矩阵(2RDM)所携带的信息足以评估多电子系统的电子能量。变分 2RDM (v2RDM) 方法试图在不了解波函数的情况下,通过最小化与 2RDM 元素变化相关的能量来直接确定 2RDM,同时还强制执行已知的 N 表示性条件。在这篇教程综述中,我们将概述 v2RDM 方法的理论基础,以及通常应用于 2RDM 的 N-representability 约束条件。我们还讨论了在 v2RDM 计算中使用的半定量编程(SDP)技术,并提供了足够的 Python 代码,用于开发与 libSDP SDP 求解器库接口的工作 v2RDM 代码:
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引用次数: 0
Cover Image, Volume 14, Issue 1 封面图片,第 14 卷第 1 期
IF 16.8 2区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Pub Date : 2024-01-11 DOI: 10.1002/wcms.1709
Sarah Löffelsender, Pierre Beaujean, Marc de Wergifosse

The cover image is based on the Advanced Review Simplifi ed quantum chemistry methods to evaluate non-linear optical properties of large systems by Sarah Löffelsender et al., https://doi.org/10.1002/wcms.1695

封面图片根据 Sarah Löffelsender 等人的《高级评论:评估大型系统非线性光学特性的简化量子化学方法》(Advanced Review Simplifi ed quantum chemistry methods to evaluate non-linear optical properties of large systems)https://doi.org/10.1002/wcms.1695。
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引用次数: 0
Jellyfish: A modular code for wave function-based electron dynamics simulations and visualizations on traditional and quantum compute architectures 水母:基于波函数的电子动力学模拟和传统和量子计算架构可视化的模块化代码
IF 11.4 2区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Pub Date : 2023-11-27 DOI: 10.1002/wcms.1696

Ultrafast electron dynamics have made rapid progress in the last few years. With Jellyfish, we now introduce a program suite that enables to perform the entire workflow of an electron-dynamics simulation. The modular program architecture offers a flexible combination of different propagators, Hamiltonians, basis sets, and more. Jellyfish can be operated by a graphical user interface, which makes it easy to get started for nonspecialist users and gives experienced users a clear overview of the entire functionality. The temporal evolution of a wave function can currently be executed in the time-dependent configuration interaction method (TDCI) formalism, however, a plugin system facilitates the expansion to other methods and tools without requiring in-depth knowledge of the program. Currently developed plugins allow to include results from conventional electronic structure calculations as well as the usage and extension of quantum-compute algorithms for electron dynamics. We present the capabilities of Jellyfish on three examples to showcase the simulation and analysis of light-driven correlated electron dynamics. The implemented visualization of various densities enables an efficient and detailed analysis for the long-standing quest of the electron–hole pair formation.

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近年来,超快电子动力学研究取得了长足的进展。有了水母,我们现在引入了一个程序套件,可以执行电子动力学模拟的整个工作流程。模块化程序体系结构提供了不同传播器、哈密顿量、基集等的灵活组合。水母可以通过图形用户界面进行操作,这使得非专业用户可以轻松入门,并为有经验的用户提供整个功能的清晰概述。波函数的时间演化目前可以在时间相关配置交互方法(TDCI)形式主义中执行,然而,插件系统有助于扩展到其他方法和工具,而无需深入了解程序。目前开发的插件允许包括传统电子结构计算的结果,以及电子动力学量子计算算法的使用和扩展。我们通过三个例子展示了水母的能力,以展示光驱动相关电子动力学的模拟和分析。实现了各种密度的可视化,可以对电子-空穴对形成的长期探索进行有效和详细的分析。
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引用次数: 0
Chemical complexity challenge: Is multi-instance machine learning a solution? 化学复杂性挑战:多实例机器学习是解决方案吗?
IF 11.4 2区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Pub Date : 2023-11-27 DOI: 10.1002/wcms.1698

Molecules are complex dynamic objects that can exist in different molecular forms (conformations, tautomers, stereoisomers, protonation states, etc.) and often it is not known which molecular form is responsible for observed physicochemical and biological properties of a given molecule. This raises the problem of the selection of the correct molecular form for machine learning modeling of target properties. The same problem is common to biological molecules (RNA, DNA, proteins)—long sequences where only key segments, which often cannot be located precisely, are involved in biological functions. Multi-instance machine learning (MIL) is an efficient approach for solving problems where objects under study cannot be uniquely represented by a single instance, but rather by a set of multiple alternative instances. Multi-instance learning was formalized in 1997 and motivated by the problem of conformation selection in drug activity prediction tasks. Since then MIL has found a lot of applications in various domains, such as information retrieval, computer vision, signal processing, bankruptcy prediction, and so on. In the given review we describe the MIL framework and its applications to the tasks associated with ambiguity in the representation of small and biological molecules in chemoinformatics and bioinformatics. We have collected examples that demonstrate the advantages of MIL over the traditional single-instance learning (SIL) approach. Special attention was paid to the ability of MIL models to identify key instances responsible for a modeling property.

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分子是复杂的动态物体,可以以不同的分子形式存在(构象、互变异构体、立体异构体、质子化状态等),通常不知道哪种分子形式负责观察到的特定分子的物理化学和生物特性。这就提出了为目标属性的机器学习建模选择正确分子形式的问题。同样的问题也存在于生物分子(RNA, DNA,蛋白质)的长序列中,其中只有关键片段(通常无法精确定位)参与生物功能。多实例机器学习(MIL)是一种有效的方法,用于解决被研究对象不能由单个实例唯一地表示,而是由一组多个备选实例表示的问题。多实例学习在1997年正式提出,其动机是药物活性预测任务中的构象选择问题。从那时起,MIL在信息检索、计算机视觉、信号处理、破产预测等各个领域得到了广泛的应用。在本文中,我们描述了MIL框架及其在化学信息学和生物信息学中与小分子和生物分子表示的模糊性相关的任务中的应用。我们收集了一些例子来证明MIL相对于传统的单实例学习(SIL)方法的优势。特别注意MIL模型识别负责建模属性的关键实例的能力。
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引用次数: 0
Revolutionizing peptide-based drug discovery: Advances in the post-AlphaFold era 肽类药物发现的革命性变革:后阿尔法折叠时代的进步
IF 11.4 2区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Pub Date : 2023-11-12 DOI: 10.1002/wcms.1693

Peptide-based drugs offer high specificity, potency, and selectivity. However, their inherent flexibility and differences in conformational preferences between their free and bound states create unique challenges that have hindered progress in effective drug discovery pipelines. The emergence of AlphaFold (AF) and Artificial Intelligence (AI) presents new opportunities for enhancing peptide-based drug discovery. We explore recent advancements that facilitate a successful peptide drug discovery pipeline, considering peptides' attractive therapeutic properties and strategies to enhance their stability and bioavailability. AF enables efficient and accurate prediction of peptide-protein structures, addressing a critical requirement in computational drug discovery pipelines. In the post-AF era, we are witnessing rapid progress with the potential to revolutionize peptide-based drug discovery such as the ability to rank peptide binders or classify them as binders/non-binders and the ability to design novel peptide sequences. However, AI-based methods are struggling due to the lack of well-curated datasets, for example to accommodate modified amino acids or unconventional cyclization. Thus, physics-based methods, such as docking or molecular dynamics simulations, continue to hold a complementary role in peptide drug discovery pipelines. Moreover, MD-based tools offer valuable insights into binding mechanisms, as well as the thermodynamic and kinetic properties of complexes. As we navigate this evolving landscape, a synergistic integration of AI and physics-based methods holds the promise of reshaping the landscape of peptide-based drug discovery.

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肽类药物具有高特异性、高效力和高选择性。然而,多肽固有的灵活性以及游离态和结合态之间构象偏好的差异带来了独特的挑战,阻碍了有效药物发现管道的进展。阿尔法折叠(AlphaFold,AF)和人工智能(Artificial Intelligence,AI)的出现为加强基于多肽的药物发现带来了新的机遇。考虑到多肽极具吸引力的治疗特性以及提高其稳定性和生物利用度的策略,我们将探讨促进多肽药物研发管道取得成功的最新进展。AF 能够高效、准确地预测多肽-蛋白质结构,满足了计算药物发现管道的关键要求。在后 AF 时代,我们目睹了快速的进步,这些进步有可能彻底改变基于多肽的药物发现,例如对多肽结合体进行排序或将其分类为结合体/非结合体的能力,以及设计新型多肽序列的能力。然而,基于人工智能的方法由于缺乏完善的数据集而举步维艰,例如,无法适应修饰氨基酸或非常规环化。因此,基于物理的方法,如对接或分子动力学模拟,在多肽药物发现管道中仍起着补充作用。此外,基于 MD 的工具还能提供有关结合机制以及复合物热力学和动力学特性的宝贵见解。在我们驾驭这种不断变化的格局时,人工智能和基于物理学的方法的协同整合有望重塑多肽药物发现的格局:
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引用次数: 0
Simplified quantum chemistry methods to evaluate non-linear optical properties of large systems 评估大型系统非线性光学特性的简化量子化学方法
IF 11.4 2区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Pub Date : 2023-11-05 DOI: 10.1002/wcms.1695

This review presents the theoretical background concerning simplified quantum chemistry (sQC) methods to compute non-linear optical (NLO) properties and their applications to large systems. To evaluate any NLO responses such as hyperpolarizabilities or two-photon absorption (2PA), one should evidently perform first a ground state calculation and compute its response. Because of this, methods used to compute ground states of large systems are outlined, especially the xTB (extended tight-binding) scheme. An overview on approaches to compute excited state and response properties is given, emphasizing the simplified time-dependent density functional theory (sTD-DFT). The formalism of the eXact integral sTD-DFT (XsTD-DFT) method is also introduced. For the first hyperpolarizability, 2PA, excited state absorption, and second hyperpolarizability, a brief historical review is given on early-stage semi-empirical method applications to systems that were considered large at the time. Then, we showcase recent applications with sQC methods, especially the sTD-DFT scheme to large challenging systems such as fluorescent proteins or fluorescent organic nanoparticles as well as dynamic structural effects on flexible tryptophan-rich peptides and gramicidin A. Thanks to the sTD-DFT-xTB scheme, all-atom quantum chemistry methodologies are now possible for the computation of the first hyperpolarizability and 2PA of systems up to 5000 atoms. This review concludes by summing-up current and future method developments in the sQC framework as well as forthcoming applications on large systems.

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这篇综述介绍了计算非线性光学(NLO)特性的简化量子化学(sQC)方法及其在大型系统中应用的理论背景。要评估超极化率或双光子吸收(2PA)等任何非线性光学响应,显然应首先进行基态计算并计算其响应。因此,本文概述了用于计算大型系统基态的方法,尤其是 xTB(扩展紧密结合)方案。此外,还概述了计算激发态和响应特性的方法,重点介绍了简化时变密度泛函理论(sTD-DFT)。此外,还介绍了 eXact 积分 sTD-DFT (XsTD-DFT)方法的形式。对于第一超极化率、2PA、激发态吸收和第二超极化率,我们简要回顾了早期半经验方法应用于当时被认为是大型系统的历史。然后,我们展示了 sQC 方法的最新应用,特别是 sTD-DFT 方案在大型挑战性系统中的应用,如荧光蛋白或荧光有机纳米粒子,以及富含色氨酸的柔性肽和篦麻素 A 的动态结构效应。由于采用了 sTD-DFT-xTB 方案,现在可以用全原子量子化学方法计算多达 5000 个原子的系统的第一超极化率和 2PA。本综述最后总结了 sQC 框架中当前和未来的方法发展,以及即将在大型系统中的应用:
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引用次数: 0
Molecular simulation approaches to study crystal nucleation from solutions: Theoretical considerations and computational challenges 研究溶液晶体成核的分子模拟方法:理论考虑和计算挑战
IF 11.4 2区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Pub Date : 2023-11-01 DOI: 10.1002/wcms.1697

Nucleation is the initial step in the formation of crystalline materials from solutions. Various factors, such as environmental conditions, composition, and external fields, can influence its outcomes and rates. Indeed, controlling this rate-determining step toward phase separation is critical, as it can significantly impact the resulting material's structure and properties. Atomistic simulations can be exploited to gain insight into nucleation mechanisms—an aspect difficult to ascertain in experiments—and estimate nucleation rates. However, the microscopic nature of simulations can influence the phase behavior of nucleating solutions when compared to macroscale counterparts. An additional challenge arises from the inadequate timescales accessible to standard molecular simulations to simulate nucleation directly; this is due to the inherent rareness of nucleation events, which may be apparent in silico at even high supersaturations. In recent decades, molecular simulation methods have emerged to circumvent length- and timescale limitations. However, it is not always clear which simulation method is most suitable to study crystal nucleation from solution. This review surveys recent advances in this field, shedding light on typical nucleation mechanisms and the appropriateness of various simulation techniques for their study. Our goal is to provide a deeper understanding of the complexities associated with modeling crystal nucleation from solution and identify areas for further research. This review targets researchers across various scientific domains, including materials science, chemistry, physics and engineering, and aims to foster collaborative efforts to develop new strategies to understand and control nucleation.

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成核是从溶液中形成晶体材料的第一步。环境条件、成分和外场等各种因素都会影响成核的结果和速率。事实上,控制这一决定相分离速率的步骤至关重要,因为它能显著影响最终材料的结构和性能。原子模拟可用于深入了解成核机制(这是实验中难以确定的方面),并估算成核率。然而,与宏观模拟相比,模拟的微观性质会影响成核溶液的相行为。标准分子模拟所能达到的时间尺度不足以直接模拟成核现象,这是由于成核事件本身的罕见性造成的。近几十年来,分子模拟方法的出现规避了长度和时间尺度的限制。然而,哪种模拟方法最适合研究溶液中的晶体成核并不总是很清楚。本综述概述了这一领域的最新进展,揭示了典型的成核机制以及各种模拟技术对其研究的适用性。我们的目标是加深对溶液晶体成核建模复杂性的理解,并确定进一步研究的领域。这篇综述针对的是各个科学领域的研究人员,包括材料科学、化学、物理学和工程学,旨在促进合作,共同开发理解和控制成核的新策略:
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引用次数: 0
The versatility of the Cholesky decomposition in electronic structure theory 乔利斯基分解在电子结构理论中的多功能性
IF 11.4 2区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Pub Date : 2023-10-25 DOI: 10.1002/wcms.1692

The resolution-of-the-identity (RI) or density fitting (DF) approximation for the electron repulsion integrals (ERIs) has become a standard component of accelerated and reduced-scaling implementations of first-principles Gaussian-type orbital electronic-structure methods. The Cholesky decomposition (CD) of the ERIs has also become increasingly deployed across quantum chemistry packages in the last decade, even though its early applications were mostly limited to high-accuracy methods such as coupled-cluster theory and multiconfigurational approaches. Starting with a summary of the basic theory underpinning both the CD and RI/DF approximations, thus underlining the extremely close relation of the CD and RI/DF techniques, we provide a brief and largely chronological review of the evolution of the CD approach from its birth in 1977 to its current state. In addition to being a purely numerical procedure for handling ERIs, thus providing robust and computationally efficient approximations to the exact ERIs that have been found increasingly useful on modern computer platforms, CD also offers highly accurate approaches for generating auxiliary basis sets for the RI/DF approximation on the fly due to the deep mathematical connection between the two approaches. In this review, we aim to provide a concise reference of the main techniques employed in various CD approaches in electronic structure theory, to exemplify the connection between the CD and RI/DF approaches, and to clarify the state of the art to guide new implementations of CD approaches across electronic structure programs.

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电子斥力积分(ERIs)的同一性解析(RI)或密度拟合(DF)近似已成为第一原理高斯轨道电子结构方法加速和缩减缩放实施的标准组成部分。ERIs的Cholesky分解(CD)在过去十年中也越来越多地应用于量子化学软件包中,尽管其早期应用主要局限于高精度方法,如耦合簇理论和多配置方法。我们首先总结了 CD 和 RI/DF 近似的基础理论,从而强调了 CD 和 RI/DF 技术之间极为密切的关系,然后按时间顺序简要回顾了 CD 方法从 1977 年诞生到现在的演变过程。CD 是一种处理 ERI 的纯数值程序,可为精确 ERI 提供稳健且计算效率高的近似值,在现代计算机平台上越来越有用;此外,由于 RI/DF 近似与 CD 两种方法之间存在深层数学联系,CD 还可为 RI/DF 近似提供高精度的辅助基集生成方法。在这篇综述中,我们旨在简明扼要地介绍电子结构理论中各种 CD 方法所采用的主要技术,举例说明 CD 和 RI/DF 方法之间的联系,并阐明目前的技术水平,以指导电子结构程序中 CD 方法的新实施:
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引用次数: 0
Recent advances in deep learning for retrosynthesis 逆合成深度学习的最新进展
IF 11.4 2区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Pub Date : 2023-10-20 DOI: 10.1002/wcms.1694

Retrosynthesis is the cornerstone of organic chemistry, providing chemists in material and drug manufacturing access to poorly available and brand-new molecules. Conventional rule-based or expert-based computer-aided synthesis has obvious limitations, such as high labor costs and limited search space. In recent years, dramatic breakthroughs driven by deep learning have revolutionized retrosynthesis. Here we aim to present a comprehensive review of recent advances in AI-based retrosynthesis. For single-step and multi-step retrosynthesis both, we first introduce their goal and provide a thorough taxonomy of existing methods. Afterwards, we analyze these methods in terms of their mechanism and performance, and introduce popular evaluation metrics for them, in which we also provide a detailed comparison among representative methods on several public datasets. In the next part, we introduce popular databases and established platforms for retrosynthesis. Finally, this review concludes with a discussion about promising research directions in this field.

This article is categorized under:

逆合成是有机化学的基石,它为材料和药物制造领域的化学家提供了获取现有稀缺分子和全新分子的途径。传统的基于规则或专家的计算机辅助合成具有明显的局限性,例如高昂的人力成本和有限的搜索空间。近年来,深度学习带来的巨大突破彻底改变了逆合成技术。在此,我们旨在全面回顾基于人工智能的逆合成的最新进展。对于单步逆合成和多步逆合成,我们首先介绍了它们的目标,并对现有方法进行了全面分类。随后,我们从机制和性能方面分析了这些方法,并介绍了流行的评估指标,其中我们还在几个公共数据集上对代表性方法进行了详细比较。在下一部分中,我们将介绍流行的数据库和成熟的逆合成平台。最后,本综述对该领域有前景的研究方向进行了讨论:
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引用次数: 0
The kth nearest neighbor method for estimation of entropy changes from molecular ensembles 估计分子集合熵变化的第 k 次近邻法
IF 11.4 2区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Pub Date : 2023-10-02 DOI: 10.1002/wcms.1691

All processes involving molecular systems entail a balance between associated enthalpic and entropic changes. Molecular dynamics simulations of the end-points of a process provide in a straightforward way the enthalpy as an ensemble average. Obtaining absolute entropies is still an open problem and most commonly pathway methods are used to obtain free energy changes and thereafter entropy changes. The kth nearest neighbor (kNN) method has been first proposed as a general method for entropy estimation in the mathematical community 20 years ago. Later, it has been applied to compute conformational, positional–orientational, and hydration entropies of molecules. Programs to compute entropies from molecular ensembles, for example, from molecular dynamics (MD) trajectories, based on the kNN method, are currently available. The kNN method has distinct advantages over traditional methods, namely that it is possible to address high-dimensional spaces, impossible to treat without loss of resolution or drastic approximations with, for example, histogram-based methods. Application of the method requires understanding the features of: the kth nearest neighbor method for entropy estimation; the variables relevant to biomolecular and in general molecular processes; the metrics associated with such variables; the practical implementation of the method, including requirements and limitations intrinsic to the method; and the applications for conformational, position/orientation and solvation entropy. Coupling the method with general approximations for the multivariable entropy based on mutual information, it is possible to address high dimensional problems like those involving the conformation of proteins, nucleic acids, binding of molecules and hydration.

This article is categorized under:

所有涉及分子系统的过程都需要在相关的焓变和熵变之间取得平衡。对一个过程的终点进行分子动力学模拟,可以直接获得焓的集合平均值。获得绝对熵仍是一个有待解决的问题,最常用的方法是通过路径来获得自由能变化,进而获得熵变化。20 年前,数学界首次提出 kth 近邻法(kNN)作为熵估算的通用方法。后来,它被用于计算分子的构象熵、位置取向熵和水合熵。目前已有基于 kNN 方法的从分子集合(例如从分子动力学(MD)轨迹)计算熵的程序。与传统方法相比,kNN 方法具有明显的优势,即它可以处理高维空间,而使用基于直方图等的方法则不可能在不损失分辨率或大幅逼近的情况下处理高维空间。应用该方法需要了解以下方面的特点:熵估算的第 k 次近邻法;与生物分子和一般分子过程相关的变量;与这些变量相关的度量;该方法的实际应用,包括该方法的内在要求和限制;以及构象熵、位置/方位熵和溶解熵的应用。将该方法与基于互信息的多变量熵的一般近似值相结合,可以解决高维问题,如涉及蛋白质、核酸、分子结合和水合的构象问题:
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引用次数: 0
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Wiley Interdisciplinary Reviews: Computational Molecular Science
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