Abstract
Cathepsin S (CatS), a member of cysteine cathepsin proteases, has been well studied due to its significant role in many pathological processes, including arthritis, cancer and cardiovascular diseases. CatS inhibitors have been included in D3R-GC3 for both docking pose prediction and affinity ranking, and in D3R-GC4 for binding affinity ranking. The difficulties posed by CatS inhibitors in D3R mainly come from three aspects: large size, high flexibility and similar chemical structures. We have participated in GC4; our best submitted model, which employs a similarity-based alignment docking and Vina scoring protocol, yielded Kendall’s τ of 0.23 for 459 binders in GC4. In our further explorations with machine learning, by curating a CatS specific training set, adopting a similarity-based constrained docking method as well as an arm-based fragmentation strategy which can describe large inhibitors in a locality-sensitive fashion, our best structure-based ranking protocol can achieve Kendall’s τ of 0.52 for all binders in GC4. In this exploration process, we have demonstrated the importance of training data, docking approaches and fragmentation strategies in inhibitor-ranking protocol development with machine learning.
Keywords: Scoring function, virtual screening, fragmentation, docking, machine learning
I. INTRODUCTION
In computer-aided drug design, accurately ranking potential inhibitors for a specific target is critical in virtual screening and inhibitor optimization[1–13]. Typically, a structure-based computational protocol for ranking involves a number of different tasks, including data collection and preparation, receptor structure selection, inhibitor conformation generation, binding pose prediction, and binding affinity ranking[9]. The choice made for each task may influence its subsequent task, and eventually influence the overall performance of the ranking protocol. Besides conventional approaches, machine learning and deep learning algorithms have been widely applied in each stage of ranking protocol development[14–22]. An excellent platform that can facilitate the development and test of such integrated ranking protocols is Drug Design Data Resource (D3R), which aims to promote computer aided drug discovery (CADD) by providing large and high-quality protein-ligand binding data sets as well as organizing competitions to test CADD workflows regularly.
D3R Grand Challenges (GC) are competitions of pose and affinity or relative affinity prediction focusing on specific targets. In the past four years, D3R has released target-specific databases to evaluate docking and affinity ranking protocols in a blind test manner[23–25]. The availability of these high-quality experimental data greatly benefits CADD community, and simultaneously accelerates the development of new computational methods. Cathepsin S (CatS) is a member of cysteine cathepsin family, and is predominately found in antigen presenting cells, where it degrades MHC class II-associated invariant chain. Malfunction of CatS is related to hyper immune response, cancer, arthritis and etc.[26,27]. CatS has been used as a sub-challenge target in both D3R GC3 [24] and GC4: GC3 has evaluated both pose prediction and affinity ranking methods on CatS system; while in GC4, only affinity ranking is tested with a much larger data set of 459 CatS inhibitors.
We have participated in GC4 and submitted two models for the CatS sub-challenge. Both models used poses generated by the same similarity-based alignment docking protocol but different affinity ranking scoring function: one employed Vina score[28]; the other used a developing version of XGBoost-based scoring function, which incorporated features from a core-fragmentation method and was trained using a general training set covering protein-ligand complexes from multiple targets. However, test results are not satisfactory, and the better one using Vina score has a Kendall’s τ of 0.23 for 459 binders in GC4. The difficulty of ranking CatS inhibitors may come from their large size, high flexibility and similar chemical structures: the average molecular weight of the CatS GC4 inhibitors is around 700 g/mol; the average number of rotatable bonds is around 8; all of the CatS GC4 inhibitors share the same tetrahydropyridinepyrazole derivative core, which is a well-established scaffold targeting CatS [29–31]. Meanwhile, considering that CatS has been studied for decades and it has a relatively large amount of binding affinity data which has not been used by us for developing those two submitted models, we have motivated to further explore target-specific ranking protocols with machine learning. In our further development, by curating a CatS specific training set and adopting a similarity-based constrained docking method as well as an arm-based fragmentation strategy which can describe large inhibitors in a locality-sensitive fashion, our best structure-based ranking protocol can achieve Kendall’s τ of 0.52 for all binders in the GC4 test set. Our overall exploration process is summarized in Fig. 1 and is described in detail below.
II. METHODS
Our exploration of structure-based ranking protocols mainly focuses on three stages, namely training data collection, binding pose prediction and binding affinity ranking, and different approaches have been tested in each stage. The overview of our exploring process is summarized in Fig. 1.
II. 1. Data Collection:
To explore CatS-specific inhibitor ranking protocols, we have collected two types of data, namely general protein-ligand data and CatS-specific data. The general data set is based on both PDBbind[32] and CSAR[33,34] data sets, which consist of both complex structures and affinities for a variety of protein targets.
The CatS-specific data set only includes crystal structures and binding affinities related to CatS inhibitors. Co-crystal structures are used to validate binding pose prediction methods, and binding affinities are used to develop affinity ranking methods. Considering that CatS GC4 inhibitors have the same tetrahydropyridinepyrazole derivative core, our data collection focuses on molecules containing this core. Thus, 22 co-crystal structures and 139 binding affinities are collected from GC3 released data[24]. Additional 291 binding affinities are collected from the ChEMBL database[35]. Since most molecules only have binding affinities, the CatS-inhibitor complex structures need to be generated using pose prediction methods. The minimal Tanimoto fingerprint[36] distances, calculated by RDKit[37], between the curated data sets and the CatS GC4 inhibitors are shown in Fig2.
II.2. Binding Pose Prediction
Structure-based ranking protocol depends on protein-ligand complex structures, but the large size and high flexibility of CatS inhibitors bring challenges for pose prediction due to the large conformational space they are associated with. GC3 CatS competition results indicated that the flipped binding mode of tetrahydropyridinepyrazole derivative core adds more difficulties for binding pose prediction (Fig. 3A)[24]. On the other hand, guidance from a similar co-crystal ligand, which includes both selecting a receptor conformation and using a co-crystal ligand as the docking template, can help with binding pose prediction even in those flipped core cases [38–42]. Thus, besides using the general conformer rigid docking protocol, we have explored two similarity-based docking approaches: similarity-based alignment docking and similarity-based constrained docking.
II.2.1. Structure Preparation
Both protein and ligand protonation states are calculated at pH = 5 to be the same as experimental conditions. Protein protonation state is calculated using PDB2PQR[43], and ligand protonation state is estimated using experimental pKa values of similar functional groups collected from SciFinder[44]. For each ligand, conformers are generated using RDKit[37,45] from its SMILES string and minimized using MMFF94 with water as solvent[37,46–51]. Docking pdbqt files for both the protein and the ligand are prepared using AutoDockTools[52].
II.2.2. General Docking Method: Conformer Rigid Docking
1000 conformers are generated for each ligand using RDKit[37,45], and docked onto 3IEJ, which is a crystal structure available before D3R GC3 with tetrahydropyridinepyrazole derivative core, using Vina rigid docking (performed by smina[53], a fork of Autodock Vina[28]). Vina score is used to select final poses. Symmetry-corrected RMSDs between the docked poses and the co-crystal ligand are calculated using ArbAlign[54].
II.2.3. CatS-Specific Docking Methods: Similarity-Based Docking
Two similarity-based docking methods are explored, namely similarity-based alignment docking and similarity-based constrained docking. In both methods, for ligand of interest, its most similar co-crystal ligand is picked as a docking reference and the similarity is measured using fingerprint Tanimoto coefficient. The receptor of the reference ligand is used as docking receptor.
The major difference between these two methods lies in ligand conformer generation and initial positioning into the receptor binding site. In similarity-based alignment docking, maximum 1000 conformers are randomly generated and minimized, and then aligned to the reference ligand based on their maximum common substructure (MCS). While in similarity-based constrained docking, atoms in MCS are kept at the same positions as those in the reference ligand during conformer generation, and maximum 500 conformers are generated since part of the ligand is fixed. In both methods, only conformers within 100 kcal/mol from the lowest energy conformer are used for the subsequent docking procedure. Local minimization is performed to optimized conformers against the receptor using smina[53]. Since conformers are either aligned or constrained to the core of the reference ligand, their core conformation should be similar. Then we filter docking poses by their occupancies of pockets in the binding site. AlphaSpace[55] is used to detect and match pockets using different CatS structures and estimate pocket ligandability. Pocket analysis of all GC3 CatS co-crystal structures shows that highly ligandable pockets are well occupied by CatS inhibitors as shown in Fig. 3C. Thus, docking poses are ranked by their occupancies of highly ligandable pockets, and only the top 100 poses are kept. Among them, the pose with the most favorable Vina score is used as the final docking pose.
II.3. Binding Affinity Prediction
The last stage in a ranking protocol is binding affinity prediction. Fragmenting molecules can reduce molecular size and flexibility, but current available fragmentation methods[56–58] are not designed for scoring purpose. We have explored three fragmentation methods and used them to compare general and target-specific scoring functions by training on either the general data set or the CatS-specific data set with XGBoost[59,60], one of the most widely used machine learning algorithms.
II.3.1. Scoring Function Parameterized with General Protein-Ligand Data Set and Core-Based Fragmentation
The general protein-ligand data set contains complexes from multiple targets, and we used it to explore a core-based fragmentation approach, which separates ligands into a core and several side chains as illustrated in Fig. 4. The core is defined as the largest ring system in the molecule, and the rest is defined as side chains. The integrity of uncuttable motifs, such as rings, double bonds and triple bonds, is maintained in the fragmentation process. Features related to the entire ligand and the fragments are calculated. We have also tried 3 bridging-water features and 3 ligand stability features to take account of explicit water molecules in the binding site and ligand stability. CSAR[61,33] and part of PDBbind v2016[32] (structures released before 2015) are used in training, and the rest of PDBbind[32] is used as the validation set. The CatS GC3 affinity data set is used to fine-tune the model’s performance on CatS system.
II.3.2. Target-Specific Scoring Function
We have explored three fragmentation approaches to develop CatS-specific scoring functions to rank CatS GC4 inhibitors, as illustrated in Fig. 4 and described in detail below.
Core-Based Fragmentation is the same as used for the general protein-ligand data set, and it cuts molecules into a core and side chains. Features of the side chains are summed to get total side-chain features for scoring function development. Core-based fragmentation only depends on ligand chemical structure.
Arm-Based Fragmentation cuts functional groups from the shared tetrahydropyridinepyrazole derivative core. It separates CatS inhibitors into a core and 4 arms, namely the left arm, the right arm, the lower arm, and the core modification. Due to the core-flipping effects (Fig. 3A), the lower arm can be switched with the left arm. The core flipping status is predicted to be the same as inhibitor’s reference co-crystal ligand’s core status. Since the core structure is the same, only the arm features are used in scoring function development. Arm-based fragmentation depends on ligand chemical structure and core-flipping effect prediction.
Pocket-Based Fragmentation separates a ligand by its occupied pockets. By employing the AlphaSpace[55] pocket matching algorithm, pockets on different crystal structures of CatS can be clustered together by their relative positions on the receptor surface. To reduce the number of fragments, matched pockets within 8 Å are combined to form matched pocket communities. Atoms occupying the same pocket community as well as their associated uncuttable motifs are grouped into one fragment. The rest of atoms are considered as linker atoms. Fragments in the same matched pocket community are considered as matched fragments, which occupy the similar region on the protein surface. Pocket-based fragmentation needs protein-ligand complex structures, which depends on pose prediction accuracy.
In target-specific scoring function development, XGBoost[59,60] algorithm is used for parameterization. The CatS ChEMBL affinity data set is used as the training set and the CatS GC3 affinity data set is used as the validation set. Besides the Vina score, 10 features used by our previously developed Δvina RF20[21], are employed to describe the contribution of each fragment. Among them, five are fragment descriptors and the other five are interaction descriptors. Additionally, each fragment’s occupied AlphaSpace[55] volume is used as a feature for model training. All features are summarized in Table 1. Before testing on the CatS GC4 data set, to make the maximum use of all available data, the best model is retrained using the combination of the CatS ChEMBL and the CatS GC3 affinity data sets, and then applied to the CatS GC4 data set to get the final performance.
Table 1.
No. | Feature Description | Feature Type |
---|---|---|
1 | Vina score | Ligand |
2 | Occupied AlphaSpace volume | Fragment |
Autodock Vina Interaction Terms | ||
3 | Fragment | |
4 | Fragment | |
5 | Fragment | |
6–7 | Fragment | |
Autodock Vina Fragment Description Terms | ||
8 | Number of heavy atoms | Fragment |
9 | Number of hydrophobic atoms | Fragment |
10 | Number of torsion | Fragment |
11 | Number of rotors | Fragment |
12 | Ligand length | Fragment |
Note: d is the distance between two atoms, a1 and a2. ddiff is the surface distance calculated by ddiff = d – R(a1) – R(a2), where R(a1) and R(a2) are the van der Waals radius of atoms a1 and a2 [28]. q is the atomic charge and V is the atomic volume. ASP and QASP refer to the atomic solvation parameter and the charge-based solvation parameter, respectively[62].
II.4. Performance Evaluation
RMSE refers to the root-mean-squared error between the predicted pIC50 and the experimentally measured pIC50, and it is used to evaluate the affinity prediction accuracy. Kendall’s τ and Spearman’s ρ are used to evaluate the ranking performance.
where cov(rP, rO) is the covariance of the predicted ranking and the experimental ranking and σ is the standard deviation of the rank variables.
III. RESULTS AND DISCUSSION
III.1. Binding Pose prediction
Binding pose prediction is an essential step in structure-based ranking protocols, but the large size and high flexibility of CatS inhibitors together with their core-flipping effects (Fig. 3A) bring difficulties in the binding pose prediction. We have explored similarity-based alignment docking and similarity-based constrained docking to tackle these challenges. Both methods are based on the hypothesis that similar ligands should bind similarly on a specific receptor, and thus they use the compound’s most similar co-crystal ligand as the reference in the docking process. Binding mode analysis of CatS co-crystal structures indicates that ligand similarity can distinguish different core-flipping conformations as shown in Fig. 3B. Therefore, adopting a similar co-crystal ligand as docking reference helps with core-flipping effects prediction.
As shown in Fig. 5, similarity-based docking methods significantly improve the docking accuracy comparing to a conventional conformer rigid docking. Similarity-based constrained docking has the best performance, which has a medium RMSD of 2.2 Å and an average RMSD of 2.3 Å. On the other hand, conformer rigid docking has a median RMSD of 6.4 Å if only the top Vina score poses are used. Extending the limit to top 10 Vina score poses and selecting the lowest RMSD pose for docking performance evaluation ends up with a median RMSD of 4.2 Å, which is still not close to the near native poses (RMSD ≤ 2 Å). Meanwhile, similarity-based alignment docking has a median RMSD of 3.0 Å and an average RMSD of 3.8 Å, but has an obvious outlier with RMSD of 12.3 Å.
In D3R GC4 CatS sub-challenge, our submitted models employ Vina score and the general core-based fragmentation score using similarity-based alignment docking poses. When applying these general scoring methods on similarity-based constrained docking poses, their affinity ranking performances are improved as shown in Table 2. Although previous GC3 results suggest that the docking accuracy may not be correlated with the affinity ranking[24], our comparison here demonstrates that affinity ranking can be improved by enhancing docking accuracy. Therefore, our further target-specific scoring function exploration uses similarity-based constrained docking poses.
Table 2.
Similarity-based Alignment Docking | Similarity-based Constrained Docking | |||||
---|---|---|---|---|---|---|
GC4 Performance | GC4 Performance | |||||
RMSE | Kendall | Spearman | RMSE | Kendall | Spearman | |
Vina | 0.63* | 0.23* | 0.34* | 0.67 | 0.29 | 0.42 |
General Core-based | 0.72* | 0.21* | 0.30* | 0.66 | 0.25 | 0.37 |
Performance of submitted models
III.2. Binding Affinity Ranking:
In order to further improve the binding affinity ranking, we have explored three fragmentation approaches, and the results are summarized in Table 3. The best model is the CatS arm-based scoring function trained on the CatS ChEMBL and the CatS GC3 data sets with Kendall’s τ of 0.52 and Spearman’s r of 0.71. This is significantly better than Vina, which has Kendall’s tau of 0.29 calculated with similarity-based constrained docking poses (Table 2). Furthermore, comparing to our best submitted model using Vina score with similarity-based alignment docking poses, this new best model has improved both ranking and scoring performances, as shown in Fig. 6.
Table3.
Training Set | CatS ChEMBL | CatS ChEMBL and CatS GC3 | |||||||
---|---|---|---|---|---|---|---|---|---|
Evaluation | Validataion Set CatS GC3 |
Test Set CatS GC4 |
Test Set CatS GC4 |
||||||
RMSE | Kendall | Spearman | RMSE | Kendall | Spearman | RMSE | Kendall | Spearman | |
CatS Core-based | 0.66 | 0.25 | 0.36 | 0.56 | 0.30 | 0.43 | 0.50 | 0.41 | 0.58 |
CatS Arm-based | 0.65 | 0.34 | 0.48 | 0.50 | 0.42 | 0.59 | 0.42 | 0.52 | 0.71 |
CatS Pocket-based | 0.66 | 0.35 | 0.49 | 0.52 | 0.37 | 0.52 | 0.48 | 0.43 | 0.61 |
CatS Non-Fragment | 0.66 | 0.26 | 0.37 | 0.59 | 0.24 | 0.35 | 0.53 | 0.35 | 0.49 |
The improved performance may come from two aspects: the training data selection and the fragmentation idea. General scoring functions, which are developed using general data sets (Vina is derived using PDBbind data), do not perform as well as CatS-specific scoring functions on the CatS GC4 test set, except in the case of the CatS non-fragment scoring functions trained only using the CatS ChEMBL affinity data. After adding more related data, the CatS GC3 affinity data, into the training set, the performances of all CatS-specific scoring functions get further boosted to surpass general scoring functions. Additionally, we have tried training the core-based scoring function using either the general data or the target-specific data. Training with the CatS-specific data achieves better ranking performance on the test set. These results indicate that having more related data in the training set generally can improve the affinity ranking performance.
The fragment-based CatS-specific scoring functions always outperform the non-fragment-based one on the test set, although the latter uses the same descriptors but on the ligand level. Even the core-based scoring function, which captures the least locality information, performs better than the non-fragment-based scoring function. The results indicate that locality-based fragmentation methods contribute to the binding affinity ranking. Within fragment-based scoring functions, the arm-based and the pocket-based scoring functions achieve better performance than the core-based scoring function, which could result from the relative more locality information they captured. Interestingly, the arm-based scoring function always performs better than the pocket-based one on the test set, regardless of how much CatS data presents in the training set. Although, pocket-based fragmentation captures more locality information, it also has stronger dependency on the docking accuracy. When docking poses are inaccurate, fragments can be assigned to the wrong pockets, which would negatively affect the training process by grouping fragments occupying different localities together. The arm-based fragmentation, with less dependency on the pose prediction and relatively more locality information, outperforms other fragment-based scoring functions.
Even though the target-specific training set with arm-based fragmentation shows the best performance, they are critically dependent on available data. One common pre-requisite for target-specific ranking protocol development is to have sufficient experimental data. For the arm-based fragmentation, it also requires a shared core. Many target-specific inhibitors are developed from a lead compound, which can be considered as a conserved core, and arm-based fragmentation should be applicable to these cases. Nevertheless, the arm-based fragmentation defines each arm by their attaching positions on the core structure, if the core changes, definitions of the arms are not consistent, which can generate misleading locality information. Both core-based and pocket-based fragmentation methods can be applied to inhibitors without a shared core. The core-based fragmentation can be generalizable to general data set, but it only distinguishes core binding sites from the rest. The pocket-based fragmentation can be applied to a specific target or a group of similar targets but has higher dependency on the accuracy of docking poses, which limits its performance to some extent.
CONCLUSION
When exploring CatS-specific ranking protocols, a common trend we have seen is that tailored data with tailored docking and scoring methods usually leads to better performance. The reason why general docking methods do not have good performance on CatS system could come from the large size and high flexibility of CatS ligands. In this work, we have explored the similarity-based docking approaches for the pose prediction task and the target-specific fragment-based scoring functions for the affinity ranking task. Our results show that the similarity-based constrained docking achieves the best docking accuracy with a medium RMSD of 2.2 Å and an average RMSD of 2.3 Å on the CatS GC3 data set, and better docking accuracy often can lead to better ranking performance. Our explored fragmentation approaches that break ligands into pieces can reduce the size and flexibility of each fragment, while account for local structural differences regardless of high similarities among CatS ligands. Combining with the target-specific data set, the similarity-based constrained docking method and the XGBoost[59,60] algorithm, all fragment-based scoring functions can outperform the general and non-fragment-based scoring functions. Among all models that we explored, the arm-based scoring function performs the best with Kendall’s τ of 0.52. Comparing to our best submitted model, whose Kendall’s τ is only 0.23, we have made significant improvement by selecting related training set, improving the pose prediction accuracy and employing fragmentation ideas in target-specific scoring function development. Such a strategy may also be helpful for other protein targets with relatively large and flexible ligands.
ACKNOWLEDGMENTS
We would like to acknowledge the support by NIH (R35-GM127040, R01GM073943 and R01GM120736) and computing resources provided by NYU-ITS.
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