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226 H. Satoh et al.
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Basic research
(f) Evaluation of synthesized molecules
(e) Structure determination
(a) Molecular design
New drug candidates
Preclinical research
(d) Synthesis
(c) Reaction design and prediction
Fig. 13.1 Process of basic research at the early stage of drug development. Chemical reaction design and prediction are important steps in the process for efficient synthesis of designed molecules with high yield, less or without side products, and reducing the cost and environmental impact
(b) In Silico evaluation of designed molecules
Clinical research
Products
artificial intelligence (AI) and ML technology rapidly conquered a wide variety of domains including natural science. In the last decade, more systems with data-driven approaches have been developed including RMap project [ Molecular Transformer [
19, 20]systems.
17], AlphaChem [18], and
Key elements that determine the performance of data-driven systems are the choice of ML method, the quality and quantity of data, and the design of descriptors, i.e., how to describe molecules and reactions. Finding good descriptors is an important part of the challenge.
In chemistry, many descriptors have been developed [21, 22], and software pack-
]. These descriptors can be categorized
ages to calculate them are available [
23–29
into four different types: graph, language, physicochemical parameters (empirical), and properties from theoretical chemistry (Table
13.1).
The basic method to describe chemical structures is based on graph theory (Table 13.1a), where atoms and bonds are treated as nodes and edges, respectively. Several software packages to generate chemical graphs that meet given conditions,
30–39
e.g., a molecular formula and spectral data, have been developed [
]. Such
methods are becoming increasingly crucial to explore the large chemical space.
Language (Table 13.1b) is also generally used to describe chemical information, including text data in DBs (e.g., reaction condition), chemical language like Chemical Markup Language (CML) [ whereby oncology and advanced language models, such as Transformer [ applied to chemical problems [
40], and natural language. A new trend is emerging
41], are
20, 42
].
Descriptors based on physicochemical parameters are often calculated with empir­ical methods (Table
13.1c). They have been intensively developed as primary
descriptors in the quantitative structure–activity relationships (QSAR) study.
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Fig. 13.2 Chemical reaction design and prediction systems. Several software systems have been developed since 1960s, starting with (a) rule- or logic-based approaches. (b) Data-driven methods using knowledgebase or ML models, which are automatically built from DBs, have been mainstream since the late 1980s. New systems have appeared especially after the second boom started in the middle of 2010s, as artificial intelligence (AI) and ML technology has been rapidly conquered a wide variety of domains including natural science in the last decade. Note that this figure does not cover all of the systems
Nowadays, various methods and software programs to provide these three basic types of descriptors are available and are widely used. An advantage of these descrip­tors is their low computational complexity, allowing the easy construction of large datasets and enabling screening of big data. However, these descriptors may not be sufficient for certain purposes, and further information beyond what is provided by these descriptors is necessary. Specific characteristics of three-dimensional (3D) structures and properties related to electronic structures, to molecular fields or cavi­ties, and to molecules on surfaces, in cages, or in solvents are needed. Dynamic behaviors of these chemical systems may play an additional important role.
Theoretical chemistry, e.g., molecular mechanics (MM), quantum chemistry (QC), and molecular dynamics (MD), could be used for these purposes (Table
13.1d).
These techniques can provide essential properties of molecules and reactions based
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Table 13.1 Types of chemical descriptors
Types (a) Graph (b) Language (c) Physicochemical
Contents Chemical
Attribute Abasic
Calculation speed
graph
method to describe chemical structures in DBs
Very fa s t Very fas t Fast Slow or very slow
Text data in DBs (e.g., reaction condition), chemical languages, natural languages
(1) A basic method to
describe chemical structures and reactions in database and literature
(2) New trends
inspired by new informatics methods like Transformer
parameters
(Empirical)
e.g., σ , π -charge, polarizability, pKa
(1) Primary
descriptors for analysis of property, activity, and reactivity
(2) Well-developed
especially in QSAR
(d) Properties
fromTheoretical chemistry
e.g., Potential/ Gibbs free energy, transition states (TS), HOMO, LUMO
(1) Essential
properties for molecular and reaction analysis can be provided
(2) Sufficient
quantity and quality of data have been getting available
on electronic structures. Some of the properties, such as 3D structures, potential or free energy, activation energy, and solvent effects cannot be obtained usually with the three basic methods (Table
13.1a–c). However, they are necessary to discuss
property, activity, and reactivity of molecules in chemical synthesis as well as the behavior of drugs in vitro and in vivo. Despite its high computational cost, sufficient quantity and quality of this high-level data is now getting accessible, thanks to enor­mous efforts by computational and theoretical chemists as well as the advancement of computer technology.
In this chapter, we focus on reaction design and prediction with the approach of data-driven chemistry (chemoinformatics) using descriptors based on theoret­ical chemistry, especially QC and ab initio MD simulations. We call this approach quantum-chemoinformatics. We will start with a brief review and then introduce two projects of quantum-cheminformatics: One is named the RMap project, which uses QC-based chemical reaction route networks for the discovery and design of new molecules and reactions. The other is related to environmental pollution by drug molecules, which should be taken into account during molecular design and eval­uation (Fig.
13.1a, b) in the process of basic research in drug development. In the
last section, we will describe our recent attempt to accelerate QC-data acquisition by utilizing a limited amount of experimental data and ML technology.
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13.2 Mini-Review of Quantum-Cheminformatics
In this section, we will give a brief history and the current status of quantum­cheminformatics for reaction design. We focus on QC calculation-based parame­ters and DBs and reaction field analysis methods. Further, we will discuss reaction pathway networks from QC calculations.
13.2.1 QC Parameters and DBs
Basic information obtained from QC calculations includes geometries and energy on the potential or Gibbs free energy surfaces, generally at stationary points, i.e., minimum or saddle points, corresponding to equilibrium (EQ) and transition states (TS), respectively. Thereby several parameters related to the electronic structure can be obtained, including atomic charges, highest occupied molecular orbital (HOMO), lowest unoccupied molecular orbital (LUMO), one-electron oxidation potential,
43
electronegativity, electron affinity, and chemical hardness [
Many chemical phenomena are usually discussed based on molecular ground states. However, some properties need excited states to be considered, which have different reactivity and properties, e.g., in the discussion of absorption and emission of light. It is one of the advantages of QC methods that they can provide information not only at the ground states but also at the excited states.
MD simulations, especially QC-based MD simulations, provide insights on the dynamical behavior of chemical systems, e.g., chemical reactions in solutions, a cage or a cavity of a protein, or at a surface of materials or biomolecules.
A new development of electronic structure-based descriptors for drug discovery is discussed in Chapter
Recently, as data-driven methods became more commonly used in chemistry, and sufficiently accurate QC data can be calculated in an accessible timeframe, the use of QC methods for data acquisition has become increasingly popular. Large datasets of geometries and energies at several QC levels and methods have been generated in several groups [ developed since the early 2000s [17 application of TS DB system to synthetic design studies.
11 of this book.
]. Reaction pathway DBs with TS structures have been also
44–47
, 48, 49]. Chapter
].
12 of this book describes an
13.2.2 Molecular and Reaction Field Analysis
QC results can be used to analyze further characteristics of molecular and reaction fields. Several approaches have been developed for 3D-QSAR study [ prediction of chemical reactivity or stereoselectivity in chemical reactions [ A typical approach is to place a molecule within a grid and to use a probe placed
5059] and
6065
].
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at every point on the grid to measure its properties [50, 51, 55, 63, 64]. Another approach is to consider the space occupied by a molecule and use a probe on the molecular surface to measure its properties [
These methods can be applied to reaction prediction and design by combining them with neural networks [ called sparse modeling [
61, 62, 65] or by using an advanced informatics method
63, 64].
61].
13.2.3 Reaction Pathways
Reaction pathway networks or maps, such as those used to describe metabolism, are common data used in bioinformatics. But most of reaction data available in chemistry are single or multi-step reactions, each representing a single pathway from a starting material to a product. Due to the difficulty of calculating pathway networks of chemical reactions based on QC, those reaction data were limited to single pathways [
In the beginning of the 2000s, several new exploration techniques of potential­energy surfaces (PES) made calculations of chemical reaction pathway networks more accessible [ find all the stationary points on PES to make up the chemical reaction pathway networks.
The first project using these QC-based chemical reaction pathway network data for molecular and reaction design by combining informatics techniques was reported in 2015, called Maizo-chemistry project, currently called RMap project [ Useful methods to find characteristics of chemical reaction pathway networks were also proposed, e.g., kinetic analysis to profile the networks [ homology analysis to sketch the landscape of reaction networks based on the height of each stationary point on PES [
48].
39
]. Using these new techniques, it became possible to automatically
17, 66].
] and persistent
67–69
70].
13.3 RMap Project: QC Reaction Pathway Network
Data-Driven Prediction and Design
The RMap (or “Maizo”-chemistry) project was launched in 2008, and the first paper was published in 2015 [ discovery based on big data of QC global reaction pathway networks. An overview of the project is shown in Fig. includes EQ structures and dissociation channels (DCs), which are connected via TSs. Each of the stationary points can be related to several properties, e.g., potential energy, Gibbs free energy, geometries, and atomic charges. The RMap system uses the Scaled Hypersphere Search of the Anharmonic Downward Distortion Following (SHS-ADDF) method [
17
]. This project is aimed toward molecular- and reaction
13.3. The reaction pathway DB (RMapDB) [49
71–74
] to obtain these data but is basically designed not to
]
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Fig. 13.3 Overview of the RMap project. The reaction pathway DB (RMapDB) includes EQ struc­tures and dissociation channels (DCs), which are connected via TSs. The project aims to use these data together with experimental data to find or design new reactions and molecules
focus on specific software. One can use any QC or MD software to obtain these reaction network data and convert them to the file formats compatible to the RMap system, e.g., xyz coordinate format. The aim of the project is to use these data together with experimental data to find or design new reactions and molecules. Appro­priate informatics methods are chosen for modeling in the prediction and design if necessary.
Figure 13.4 shows images of RMapViewer [75], a tool for visualization and anal­ysis of reaction pathway networks, which is a part of the RMap system. A reaction pathway network called reaction map (RMap) (left) is visualized together with energy diagrams (right) as shown in both top and bottom views of Fig.
13.4. The RMap data
can be searched with 2D or 3D queries. If you specify two molecules as reactant and product in the network, the system enumerates all possible pathways between them and shows the list of pathways in ascending order of the maximum activation energy along the route, the number of reaction steps, and the maximum TS energy along the route. The top of the list of the maximum activation energy corresponds to the minimum energy pathway (MEP).
Figure 13.5 shows an example of the reaction pathway network for aciclovir.
This calculation was carried out by using GRRM (GRRM17, SHS-ADDF, LADD =
10). This setting means that reaction pathways starting from aciclovir by using the SHS-ADDF method, especially by taking only large-ADD (LADD) into account, assuming that searching EQs via relatively small TS energies. The obtained reaction pathway network consists of 9 EQs, 8 TSs, and 1 DC. One of the pathways from aciclovir (EQ0), which is a proton transfer reaction, is shown in Fig.
13.5. Although
this is a known reaction, the benefit of this calculation is that this type of reactions can be obtained automatically and this is not a single pathway but part of a reaction network.
The RMap system was applied to the automatic deduction of conformational
transition networks, which gives QC landscapes of glucose conformers [76]. In the
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Fig. 13.4 Images of RMapViewer, a tool for visualization and analysis of reaction pathway networks. RMapViewer is a part of the RMap system. A reaction pathway network called reac­tion map (RMap) (left) is visualized together with an energy diagram (right). RMap data can be searched with 2D or 3D queries. The system enumerates all possible pathways between two molecules (reactant and product) and shows the list of pathways respect to the maximum activation energy along the route, the number of reaction steps, and the maximum TS energy along the route. The user can find the minimum energy pathway (MEP)
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Fig. 13.5 Example of reaction pathway: hydrogen transfer reaction of aciclovir, antiviral medi­cation. QC level: B3LYP/6-31G(d,p). GRRM: SHS-ADDF, LADD = 10. The obtained reaction network consists of 9 EQs, 8 TSs, and 1 DC
context of the RMap project, new classes of carbon allotropes and polycyclic aromatic hydrocarbons were explored [
The RMap system is open source [66] and open data [49] according to the open
science spirits.
39, 7784].
13.4 Drug Design Considering Degradations
in Environment
As described in Sect. sizing them is very important (Fig. early stage of drug development. The prime target is to design molecular structures that have desired functions, such as pharmacological activity (Fig. accessibility is another major issue. However, to design an optimal molecule, one should consider not only these positive properties but also negative properties of those molecules, like toxicity and persistency in the environment. Since people have become aware of the serious environmental problems caused by micropollu­tants, demand to consider the burden on the environmental in chemical development has steeply increased. Applications of informatics technologies to the prediction of degradation of micropollutants in wastewater, quantitative structure-bio-degradation relationships (QSBR), have been discussed [
13.1, the evaluation of molecules before and after synthe-
13.1b, f) in the process of basic research at the
13.6). Synthetic
85
].
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(6) Evaluation of synthesized molecules
(5) Structure determination
(4) Synthesis
(3) Reaction design
Fig. 13.6 Degradation in environment is one of the important factors for molecular evaluation in drug design
(1) Molecular design
(2) In Silico evaluation of designed molecules
Activity
Reactivity
Synthetic Accessibility
Toxicity
Degradation in Environment
Degradation prediction is related to the wide field of reaction prediction. The reac-
tion prediction systems described in Sect.
13.1 are targeting general organic chemical
reactions at the lab bench. In principle, similar approaches can be used to predict reactions of chemicals in the environment, i.e., chemical degradation in wastew­ater. However, to address the full complexity of chemical reactions in wastewater, adjusting the basic strategy is needed. The major problem with degradation processes in wastewater comes from their much lower degree of controllability and traceability, leading to lower quality and quantity of chemical degradation information from wastewater.
One possible approach to overcome the limitation of the quality and quantity of chemical degradation data can be combining QC methods with classical QSBR. A benefit of QC approaches is to provide data with a certain level of accuracy based on theoretical grounds and to give insights about reaction mechanisms.
A pilot study to see the applicability of ab initio QC parameters to degradation in wastewater has been carried out for specific relevant enzyme systems, laccases, also called multicopper oxidases (MCOs), which are known as potent monooxygenases,
]. In metatranscriptomic data from
particularly in the case of fungal laccases [
86
activated sludge microbial communities, gene transcripts of bacterial laccases were found to be rather abundant and their abundances to align with oxidative transfor­mation of micropollutants, e.g., hydroxylations or oxidative N- and O-dealkylations. Since bacterial laccases typically have a lower reduction potential than fungal ones, a mediator compound to catalyze the oxidation reaction should be involved in a plau­sible mechanism (Fig. was examined for 20 micropollutants (1–20 in Fig.
13.7a). In an experimental study [ 87
13.8) with 2,2-azino-bis-3-athyl-
benzthiazoline-6-sulfonic acid (ABTS) as a mediator (Fig. (13, 14, 15, 16, 17, 18, 19, and 20 in Fig. tional study [85
], the possibilities of QC descriptors that can distinguish between the
13.8) were degraded. In the computa-
], degradation reactivity
13.7b), and 8 compounds
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reactive and non-reactive compound groups were examined, and it was found that a simple combination of the one-electron oxidation potential and the HOMO–LUMO energy gap can clearly classify these two groups and construct a model to predict the reactivity by using linear support vector machine (SVM) (Fig.
13.8). The calcu-
lations were performed at the M062X/6–311+G(2df,2p)//M06L/6–311+G(2df,2p) level with the SMD solvent model by using the Gaussian 16 program package [
88].
This result is based only on a small dataset. Nonetheless, it is notable that such simple QC descriptors were able to identify differences in degradability across a set of structurally highly diverse micropollutants. It indicates applicability of QC descriptors to a case where properties based on electronic structures play an important role in the rate-limiting step of the degradation processes.
Fig. 13.7 Degradation of compounds with MCO extracted from wastewater. a Plausible mechanism of oxidation. The existence of a mediator is expected. b Degradation reactivity was examined for 20 compounds with ABTS as a mediator and 8 compounds were degraded
Fig. 13.8 Simple combination of QC parameters can classify the 20 compounds into reacted and not-reacted groups. The prediction model for the degradation was constructed by using linear SVM