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9 Conformational Sampling of Proteins: Methods for Simulate... 253
diversify the locations of the grid points in order to simulate a favorable induce d t of the system. Compared to 6D-QSAR, this model considers solvation energy terms. There is even another type, the 7D-QSAR, built with 3D structural data of the biological target, from X-ray crystallography or NMR, but they cannot be considered as an LBDD strategy because the starting point is not a specic descriptor of the ligand.
Pre and postdocking sampling related to conformational changes in protein– protein systems and protein–DNA systems have some very peculiar aspects and have contributed to various studies, as illustrated in the work of [38]. Simulating the dynamics of biological systems is challenging because it is necessary to consider the extent and direc tion of conformational changes that actually occur, it consists of both obtaining and selecting a series of conformations that represent the induced adjust­ment of the proteins studied, for this it is useful to apply combined methods capable of providing a conformational sampling in which the extent of the deformation is considered with its energy cost, as in the ClustENM technique—a modeling proce­dure based on elastic networks—using the HADDOCK software [18, 19, 67]. With regard to molecular coupling, it is possible to carry out pre and postcoupling steps as a strategy to produce models of adequate quality for the representability of biological systems.
In his work, the author [38] demonstrates the applicability of effective joint techniques, combining the generation and selection of conformational sampling with multidomain analysis of regions of interest, resulting in more realistic molec­ular couplings by considering the exibility of the region, which can be applied to protein-protein or protein-DNA studies if the technique known as ClustENM­HADDOCK is used. So far, this technique is considered to have superior perfor­mance compared to traditional rigid coupling for protein-protein systems, but infe­rior in terms of the exibility of the multidomain region. As far as the protein-DNA system is concerned, the simulations prove to be adequate in most cases.
In addition to raising discussion about the gaps in the molecular docking tech­nique, the author [38], proposed an interesting pipeline to meet the challenges of the area, where he combined simulations before and after complexation, containing the following steps: (1) energy minimization of the structure subjected to elastic network modeling, with ClustENM and deformation test to categorize the RMSD deforma­tion; (2) generation of conformers in which clusters with parent structures are excluded; (3) selection of 20 conformers based on the minimization energy, to perform the coupling, whereby, the initial structure is also present regardless of the energy value; (4) use of HADDOCK for the semi-exible docking of structures; (5) selection of the best scoring coupled model for the second round of ClustENM (which is considered post-sampling); (6) verication and parameterization of ClustENM for each structure; (7) generation of nal models, obtained after applying the technique for two more generations; (8) verication and classication of the quality of the nal models, using the HADDOCK score.
The combined use of techniques that provide simulations of biological systems containing a longer prole, that is conformations before and after a molecular docking, has also been applied for large-scale docking (virtual screenings), as
254 A. L. Scott et al.
demonstrated in the work of [10]. A study was conducted with the dihydroorotate dehydrogenase (DHODH) protein, which is considered a key enzyme in the pyrim­idine biosynthesis pathway and is involved in processes related to cancers, and some autoimmune and viral diseases.
The study by [10] followed important steps that provided good results: (1) selec­tion and preparation of 38 hDHODH structures complexed with inhibitors of resolution <2 Å, superimposed with the ICM [1], with selection of the representative set of structures, based on clustering by the root mean square deviation (RMSD) with the aid of the bio3D R software [24]. The parameterization included the addition of polar hydrogen atoms corresponding to protonation at pH = 7, using OpenBabel
2.4.0 [50]. (2) Benchmarking of datasets and evaluation metrics, formation of a set/library using enhanced data (DUD-E) [47], with 67 active compounds and 1933 inactive compounds. The Boltzmann enhanced ROC curve (BEDROC, with α = 20) was used and enrichment factors (EF) were calculated using the balancer [40].
The software and molecular docking parameters used were AutoDock Vina [66], LeDock [70], rDOCK [61], and ICM [1]. These tools were chosen because of their high overall performance, differences in the methods used to predict/score the poses generated, and availability. The consensus stage for generating various conforma­tions of the ligand is just as important as the richness of generating the various conformations of the target protein used. According to the authors data, the success of the set tting and consensus scoring lies precisely in the way the sets are selected and analyzed, with different conformations, not forgetting to normalize the tting score. As for the consensus bond pose approach, all possible combinations of molecular docking were evaluated, and the compound that scored well in each docking program was considered the nal candidate. The authors point out that, whenever possible, it is recommended to work with pre-validated data and the selection of suitable software and structures (representative of the system of interest) to increase the performance of simple molecular docking and virtual screening.
According to [22], a tool that can improve molecular docking results is HTP SurexDock, which allows the simulation of the receptors implicit exibility. Considering a post-processing step that allows the reclassication of favorable compounds by exploring the confor mational space and free energy of binding by MM/PBSA (Molecular mechanics Poisson-Boltzmann surface area). This is a suit­able tool when information on the receptors contact area is incomplete or specic optimization is required for a given ligand.
Considering a representative set of conformations of the biological target before molecular docking makes it possible to simulate the implicit exibility of the receptor; however, to correct the accuracy of the scoring funct ions of the com­pounds, a post-processing step is necessary which explores the conformational space of the active site, generates new poses and estimates the binding free energy of the protein-ligand interaction, such as the MM/PBSA method, which takes into account the relative binding free energy obtained from the protein-ligand molecular dynam­ics in aqueous solvent, the change in potential energy in vacuum, the desolvation energy of the system, and the entropy of the complex in the gas phase. It is a well­known method for rescoring molecules.
9 Conformational Sampling of Proteins: Methods for Simulate... 255
With the HTP SurexDock, it is possible to load a three-dimensional structure of the receptor and a set of small molecules (ligands) in PDBQT format. The molecules are classied according to the ΔG calculated for the ensemble, an ensemble with the original structure of the receptor is then built and three conformations are obtained from ve-nanosecond molecular dynamics using Gromacs 5.1.5 [2] (a relaxation for other conformations), the trajectory is followed by clustering, and the conformations with a maximum RMSD of the binding site of 0.10–0.20 nm and grouped by the GROMOS algorithm [16]. A representative structure from the three most represen­tative groups is included in the new set. AutoDock [49] and ADT scripts [46] are used, and ten poses are generated for the complexes [45]. HTP SurexDock presents a score table with the ΔG of the best pose, and it is possible to apply two post­processing options: (I) select 10 compounds and expand the conformational space for a new molecular docking experiment cycle; (II) explore the conformational space of 30 new poses.
The latest version of DockThor-VS (availabl e at: www.dockthor.lncc.br, last accessed on July, 2024) provides users with 3D structures for performing molecular docking of various ligands in selected structures of the wild-type and mutated proteins: Nsp3; Nsp5; Nsp12; Nsp15; and Spike. Encouraging the importance of using several conformations of the biological target in virtual screening, as according to the authors, using a single conformation of the protein would generate an impaired classication of the ligands in the complexes. A list of some interesting ensemble docking tools is presented in Table 9.1.
Another interesting study [65], which presents a protocol for generating various conformations of cyclin-dependent protein kinase 2 (CDK2), used normal mode analysis (DIMB [54] with harmonic constraints during minimization, followed by shifting by 25 lower frequency vectors until the mass-weighted mean square devi­ation (MRMSD) to 2 Å or –2 Å. The authors selected the structures for their conformational diversity and binding site topology, corresponding to ve open conformations with more space in the proteins binding site to docking ligands. An innovative study [21] used hybrid molecular dynamics methods, and excited normal modes to obtain conformations of sulfotransferases (SULT) for docking molecular 132 ligands, helping to understand the mechanism of molecule binding at the site of this protein. Some studies involving proteins can be more structural, with a focus on understanding the structure itself and which regions are most important, such as the one conducted by Yang et al., [68], or more applied, such as the one by [41], where the focus is on demonstrating the impact of the compo­sition of the protein structure. Both are relevant. Dudas et al. performed MD and MDeNM simulations for the SULT1A1/PAPS as well as MD and docking simula­tions with the substrates estradiol and fulvestrant. The authors demonstrated that large conformational changes of the PAPS-bound SULT1A1 can occur and would be sufcient to accommodate large substrates, e.g. fulvestrant, independently of the co-factor movements. In this work, the structural displacements were successfully detected by the MDeNM simulations and suggest that a wider range of drugs could be recognized by PAPS-bound SULT1A1. The Hybrid method called MDeNM enables an extended sampling of the conformational space by running multiple
256 A. L. Scott et al.
Table 9.1 Main tools of the ensemble docking technique
Tool ensemble docking Key points Docking References
HEX Combined strategy between molecular dynam-
HTP SurexDock
EDock-ML It uses machine learning to decide whether
MDock Automated docking that can dock ligands into
MDR SurFlexDock
DockThor-VSIt uses structures of different conformations
ics and molecular docking with the program HEX, which performs a systematic search of 6 degrees of freedom and classication of ori­entations by interaction energy
It has two strategies: ensemble coupling with implicit receptor exibility simulation and post­processing step with new scoring of promising compounds considering the conformational space or estimating the binding free energy using the MM/PBSA protocol
compounds are good candidates for docking with different receptor conformations, consid­ering the receptors exibility
multiple conformations of the receptor, auto­mated, using an ensemble docking algorithm [47, 48]
Uses for molecular docking a discrete/repre­sentative set of receptors contact surfaces obtained from the clustering of molecular sim­ulation trajectories, for simulation of the intrin­sic exibility of the ligand contact surface, the classication of ligands can be by the inhibition constant (Ki) and is also applicable to receptors originated by homology modeling
complexed with ligands, taking into account the exibility of the receptor and different states of protonation
Protein­protein
Protein­ligand/pro­tein-protein
Protein-ligand Chandak
Protein-ligand Huang et al.
Protein-ligand De Almeida
Protein-ligand Guedes et al.
Ritchie et al. [60]
Filho et al. [22]
et al. [9]
[29] Huang et al. [30] Huang et al. [31] Huang et al. [32] Huang et al. [33] Huang et al. [34]
Filho et al. [17]
26]
[25,
short MD simulations during which motions described by a subset of low-frequency Normal Modes are kinetically excited. It was possible to detect open-like confor­mations of SULT1A1 ef ciently.
Finally, there are several hybrid methods proposed in the literature; some of them integrate simulation methods such as molecular dynamics, Monte Carlo,
9 Conformational Sampling of Proteins: Methods for Simulate... 257
optimization with elastic network models or normal modes analysis based on force field as MDeNM, CoMD , ClustENM, CLusteNMD and VMOD [14, 35, 42, 55]. These methods can be combined with the software listed in Table 9.1 which allows us to obtain conformations of protein structures that are representative of interesting states for the molecular coupling of bioactive ligands. Using structures from differ­ent points, considering the flexibility of a biological target, brings more realism to computer simulations, and is a good strategy for understanding the mechanism of action in the target and developing new molecules.
4 Good Practices for Simulations and Sample
the Conformational Space
Molecular simulation techniques play a crucial role in our quest to understand and predict the properties, structure, and function of molecular systems. They are a fundamental tool as we aim to enable predictive molecular design. Simulation methods are useful for studying the structure and dynamics of complex systems that are too complicated for traditional theoretical approaches, helping to interpret experimental data in terms of molecular movements. We list some questions that can be important to plan your simulation on Table.
Questions to plan the simulations
Guiding questions for implementing conformational sampling in drug design
What is the quality of your initial structures or models? What are the protonation and phosphorylation conditions for your simulation? How do you scale your simulation with multiple CPUs/GPUs? Which force eld should be used? Which kind of motions is important for your problem: local motions or global motions? Do I have computational resource and time to use explicit solvent and all-atoms models? How can I optimize the parallelization of the simulations? How representative are the structures obtained when you project them against principal compo­nents space? How diverse is your sampling of the conformational space in terms of structural (RMSD) and energetic aspects?

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Chapter 10
Free Energy Perturbation and Free-Energy Calculations Applied to Drug Design
Deborah Antunes
, Lucianna Helene Santos
Ana Carolina Ram os Guimarães
, and Ernesto Raul Caffarena
,
Abstract Free energy perturbation (FEP) is a computational technique used to
evaluate ligand-protein binding afnities for computer-aided drug optimization. FEP has been shown to be a valuable tool in both academic and pharmaceutical settings for optimizing drug candidates in a rational, efcient, and cost-effective manner. Recent advancements in algorithms, software tools, hardware capabilities, and machine learning integration have signicantly improved the scope, applicabil­ity, and reliability of FEP calculations. In this chapter, we review recent develop­ments in force eld parameterization, software platforms, and automated workows that have consolidated FEP as an essential methodology for structure-based drug discovery and have resulted in FEP calculations becoming more accessible to non­specialists, as well as applicable to a broad range of scenarios. We also describe the utility of the FEP technique in diverse contexts, including validating the binding modes and optimizing allosteric and covalent inhibitors. We illustrate its potential through vignettes and in-depth case studies, demonstrating its integration into machine-learning frameworks for predicting binding energies based on molecular structures. Furthermore, this chapter discusses the remaining challenges in sampling sufciency and scalability to ultra-large compound libraries as well as emerging solutions through cloud computing and machine learning.
Keywords Free energy perturbation · Drug design · Bbinding afnity · Computational chemistry · Machine learning · Molecular structures
D. Antunes · A. C. R. Guimarães Oswaldo Cruz Institute, Rio de Janeiro, Brazil
L. H. Santos ( Institut Pasteur de Montevideo, Montevideo, Uruguay e-mail: lsilva@pasteur.edu.uy
E. R. Caffarena ( Scientic Computing Program, Rio de Janeiro, Brazil e-mail: ernesto.caffarena@ocruz.br
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2024 V. G. Maltarollo (ed.), Computer-Aided and Machine Learning-Driven Drug Design, Computer-Aided Drug Discovery and Design 3,
https://doi.org/10.1007/978-3-031-76718-0_10
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