Abstract
The blood-brain barrier (BBB) is a selective and semipermeable boundary that maintains homeostasis inside the central nervous system (CNS). The BBB permeability of compounds is an important consideration during CNS-acting drug development and is difficult to formulate in a succinct manner. Clinical experiments are the most accurate method of measuring BBB permeability. However, they are time taking and labor-intensive. Therefore, numerous efforts have been made to predict the BBB permeability of compounds using computational methods. However, the accuracy of BBB permeability prediction models has always been an issue. To improve the accuracy of the BBB permeability prediction, we applied deep learning and machine learning algorithms to a dataset of 3,605 diverse compounds. Each compound was encoded with 1,917 features containing 1,444 physicochemical (1D and 2D) properties, 166 molecular access system fingerprints (MACCS), and 307 substructure fingerprints. The prediction performance metrics of the developed models were compared and analyzed. The prediction accuracy of the deep neural network (DNN), one-dimensional convolutional neural network, and convolutional neural network by transfer learning was found to be 98.07, 97.44, and 97.61%, respectively. The best performing DNN-based model was selected for the development of the “DeePred-BBB” model, which can predict the BBB permeability of compounds using their simplified molecular input line entry system (SMILES) notations. It could be useful in the screening of compounds based on their BBB permeability at the preliminary stages of drug development. The DeePred-BBB is made available at https://github.com/12rajnish/DeePred-BBB.
Introduction
Neurological diseases are among the most predominant health issues, with an approximately 28% prevalence in all age groups of patients (). Despite a decrease in communicable neurological diseases, the number of deaths due to neurological diseases has increased to 39% in the last three decades (). This substantial increase in the absolute number of patients indicates that available therapeutics are scarce to prevent and manage neurological diseases in the current changing global demography. Therefore, it is imperative to find novel and effective therapeutics to target the central nervous system (CNS) to meet the challenges of the ever-increasing absolute number of patients with neurological diseases. An alternative method targeting the molecular and signaling mechanisms at BBB rather than the traditional approaches has become the recent trend in drug target validation (). Drugs must cross the blood-brain barrier (BBB) to act on the CNS. There is a higher attrition rate of drug candidates failing in clinical research due to non-permeability to the BBB compared to potency issues (; ; ; ). The BBB is a semipermeable and selective boundary that maintains the steady state of the CNS by protecting it from external compounds (98%) (Figure 1; ). As drugs need to enter the CNS to impart therapeutic activity, it becomes crucial to determine BBB permeability during the initial stages of CNS-acting drug design and development (; ; ).
FIGURE 1
The BBB separates the CNS from the bloodstream, preventing contagions from invading the brain. Brain endothelial cells, astrocytes, neurons, and pericytes are four major components of the BBB. The largest constituent of the BBB is a layer containing brain endothelial cells, which serve as the first line of defense from the CNS surroundings. Endothelial cells are connected with tight junctions and adherence junctions, which create a strong barrier, restricting pinocytosis and decreasing vesicle-facilitated transcellular transport (
Clinical experiments to determine the BBB permeability of compounds are accurate; however, they are time-consuming and labor-intensive (
In an attempt to develop the BBB permeability prediction model,
The major challenge while applying ML algorithms is selecting optimal features to develop predictive models based on labeled BBB permeability datasets (
Materials and Methods
Data Collection
A total of 3,971 compounds with BBB permeability classes were collected from
TABLE 1
| Dataset | BBB permeable compounds | BBB non-permeable compounds | Total |
| 819 | 366 | 1,185 | |
| 1,398 | 393 | 1,791 | |
| 390 | 239 | 629 | |
| Total | 2,607 | 998 | 3,605 |
The final dataset and its distribution.
Feature Calculation
Three types of feature sets viz. physicochemical properties, molecular access system (MACCS) fingerprints and substructure fingerprints were used in this study. Physicochemical properties contain different types of physical and chemical information encoded in a compound, e.g., molecular weight, molecular volume, solubility, partition coefficient, etc. The molecular fingerprints are fixed-length vectors that indicate the presence/absence of an atom type or functional group in a compound. All features were calculated by open-source PaDel (
TABLE 2
| Dataset | BBB permeable compounds | BBB non-permeable compounds | Total |
| Training set | 1,955 | 749 | 2,704 |
| Test set | 652 | 249 | 901 |
| Total | 2,607 | 998 | 3,605 |
Distribution of the dataset in the training and test sets.
Development of Prediction Models
In this study, ML-based algorithms (SVM, kNN, RF, and NB) and DL-based algorithms DNN, CNN-1D were developed using keras framework with libraries; python, numpy, pandas, keras, and tensorflow on Anaconda 3–5.2. CNN (VGG16) was implemented using transfer learning through cloud-based computational resource of Google Colaboratory to develop prediction models for the BBB permeability of the compounds. Based on the performance of the generated prediction models, the DNN-based “DeePred-BBB” is proposed for BBB permeability prediction. DeePred-BBB performance was compared with ML algorithms viz. SVM, NB, kNN, RF, and DL algorithms CNN-1D and CNN (VGG16).
Machine Learning-Based Models
Support vector machine with four different kernels (RBF, polynomial, sigmoid, and linear), NB, kNN, and RF were applied to the training set of 2,704 compounds and tested with an independent set of 901 compounds. Principal component analysis (PCA) (
Support Vector Machine
Support vector machine is among the robust ML algorithms used for classification and regression (
Support vector machine was applied using kernels to map the data to higher dimensions to linearly classify the data (
Naïve Bayes
The naïve Bayes algorithm is based on the Bayes theorem. It is a probabilistic method that works on the assumption of class conditional independence (Eq. 2) (
where P(X|Y) is the posterior probability of X (class) for a given Y (feature), P(Y|X) is the likelihood, P(X) is the prior probability of class X, and P(Y) is the marginal probability of feature Y.
k-Nearest Neighbor
k-nearest neighbor is a simple and non-parametric classifier that assumes that nearby data points are similar and tend to have similar classes. Feature similarity is used to find the class label of a new data instance. It commonly uses Euclidean distance to find the closeness of the data points, and depending upon the class matching with considered k-points, the class labels are decided (
To determine the optimal k, a range of k-values (1–10) was evaluated. The best-performing prediction model at k = 3 was selected for further analysis.
Random Forest
Random forest uses ensemble learning to create a collection of decision trees (forest) that run concurrently and classify data instances (
Deep Learning-Based Models
Deep learning algorithms use multiple neurons and hidden layers to extract high-level functions from input data. The major advantage of DL algorithms is their inherent property of selecting the most relevant features from the training dataset. Therefore, unlike ML algorithms, separate feature selection algorithms are not required (
Deep Neural Network
For DNN, 2,704 compounds, each encoded with 1,917 features (1,444 physicochemical properties, 166 MACCS, and 307 substructure fingerprints), were used to develop BBB permeability prediction models. Initial layers receive compounds encoded with feature vectors and subject them to the hidden layers. These hidden layers obtain the relevant information from the input vectors and project the freshly extracted features to the batch normalization layer. This layer increases the training process by reducing the intradata covariance. Dropout layers were applied to reduce the problem of coadaptation of neurons and overfitting (
where xi is input for activation function f on channel “i.”
The “softmax” activation function was applied on the output layer to map the hidden layer output between 0 to 1 intervals. The Adam optimizer was used to minimize the loss value from the cross-entropy cost function.
The network performance of a DNN depends upon its depth and breadth. Therefore, it is vital to determine the optimal depth and breadth and optimize other parameters, e.g., the learning rate and dropout ratio. To achieve this, we kept other parameters fixed and evaluated the prediction accuracy by varying the hidden layers (K = 1–5) and neurons (100, 200, 300, 500, 800 neurons per layer). The DNNs were also simultaneously evaluated for five dropout ratios (0.1, 0.2, 0.3, 0.4, 0.5), and prediction accuracy was evaluated. Furthermore, various network configurations were evaluated for epochs (100, 200, 400, 500, 800) and learning rates (0.0001, 0.0002, 0.0003, 0.001, 0.002, 0.003) optimization. Table 3 summarizes the explored values of hyperparameters for the development of the DNN-based BBB permeability prediction model.
TABLE 3
| Parameter | Values |
| Number of hidden layers | 1–5 |
| Number of neurons | 100, 200, 300, 500, 800 |
| Dropout ratio | 0.1, 0.2, 0.3, 0.4, 0.5 |
| Learning rate | 0.0001, 0.0002, 0.0003, 0.001, 0.002, 0.003 |
| Epochs | 100, 200, 400, 500, 800 |
Hyperparameter values explored for the DNN model.
Convolutional Neural Network-1 Dimension (CNN-1D)
CNN is a particular type of DL that is widely used for image data classification (
Furthermore, other parameters of the convolutional layer also needed to be optimized, e.g., regularization type and value, activation function, and stride. Pooling layers specifically perform average or max-pooling in the filter region to lower the number of parameters and calculations by downsampling the representations. The fully connected layers flatten the output prior to the classification and are usually kept at the end. CNNs are created to process and learn from images. However, CNN-1D can be applied similarly to one-dimensional data containing physicochemical properties and fingerprints. We used three filters (15, 32, 64) to determine the local pattern in the 1,917 features, which were calculated from PaDel. After the CNN layers, dense layers (1 and 2) were tested for three dropout ratios (0.2, 0.3, 0.5). Table 4 summarizes the explored hyperparameter values for the development of the CNN-1D model.
TABLE 4
| Parameter | Values |
| Number of filters | 15, 32, 64 |
| Number of dense layers | 1, 2 |
| Dropout ratio | 0.2, 0.3, 0.4 |
| Learning rate | 0.0001, 0.0002, 0.0003, 0.001, 0.002, 0.003 |
| Epochs | 100, 200, 400, 500, 600 |
Explored hyperparameter values for the CNN-1D model.
Convolutional Neural Network by VGG16 Transfer Learning (CNN-VGG16)
The CNN processes the input 2D images to distinguish the image objects by allocating weights and biases. CNN captures temporal and spatial relationships using the tiny squares of input images by processing them through a series of convolution layers. Filters in each convolutional layer skid on the image to find relevant and specific features, e.g., edge detection, sharpen or blur the image and produce the feature map. The feature map’s size depends on filter numbers, filter slide-over pixels, and zero-padding (image borders are padded with zero). The 2D-array values of the feature map were subjected to the individual layer activation function (ReLU). Dimensionality reduction of each feature map is processed using pooling without any loss of information. The pooling layer’s output is sent into fully connected layers, which classify the images. The CNN with transfer learning (VGG16) was used in this study using RDKit-generated images. The images were scaled to a pixel size of 128 * 128 to develop and validate the BBB permeability prediction model.
Furthermore, image data argumentation was performed by randomly zooming (up to 10%) and flipping the images. The CNN (VGG16) hyperparameters are given in Table 5. The developed model was tested with an independent test set consisting of 901 images. Figure 2 depicts the adopted methodology to develop the DL-based prediction models.
TABLE 5
| Parameters | VGG16 |
| Convolutional blocks | Convolutional layers, Kernel size, Filters, Max-Pooling, Zero Padding: Predefined |
| Dense layers | 02 |
| Dense layers neurons | 150, 104 |
| Dropout ratio | 0.5 |
| Learning rate | 0.02 |
| Batch size | 132 |
| Epochs | 800 |
The hyperparameters for CNN (VGG16).
FIGURE 2

Methodology adopted for predicting the BBB permeability of compounds using SMILES notation. The SMILES notations were used to calculate molecular properties and fingerprints using PaDel. These features were used as input to DNN and CNN-1D to generate the BBB permeability prediction models. The 2D images of compounds were generated using RDkit and fed to the CNN (VGG16) to generate the BBB permeability prediction model.
Results and Discussion
The performance metrics of the ten developed models (ML = 7, DL = 3) for BBB permeability prediction were compared to determine the best-performing model. The performance indicators used in this study were area under the curve (AUC), area under the precision-recall curve (AUPRC), average precision (AP), F1 score and accuracy, and Hamming distance (HD) of the prediction models. Among the developed ML prediction models, the SVM (RBF kernel)-based prediction model outperformed the NB, kNN, and RF algorithms for BBB permeability prediction with test set data. The accuracy of SVM (RBF) was found to be approximately 6% higher than that of NB and RF and approximately 1% higher than that of kNN. Moreover, SVM (RBF) yielded better prediction values of other performance indicators in BBB permeability prediction on the given dataset. However, the performance metrics of SVM (polynomial) at degree 3 were found to be very comparable to the SVM (RBF).
The performance metrics of the DL algorithms were found to be very close to each other. The prediction accuracies of DNN, CNN-1D, and CNN (VGG16) were 98.07, 97.44, and 97.66, respectively. However, the DNN model was superior in AUC, AUPRC, AP, F1, and HD when compared to that of CNN-1D and CNN (VGG16) (Table 6). The comparison of receiver operating characteristic (ROC) curves between SVM (RBF), DNN, CNN-1D, and CNN (VGG16) also indicates the superiority of DNN in BBB permeability prediction with the given dataset (Figure 3). Furthermore, the accuracy and loss plots of the DNN model are given in Figure 4. The accuracy plot shows good coherence between the training (red) and test (blue) accuracy, suggesting that the model is not overfitted. Additionally, coherence in the training (red) and validation/test (blue) loss in the loss plot (binary cross-entropy loss) is indicative of an unbiased model (Figure 4).
TABLE 6
| Algorithm | AUC | AUPRC | AP | F1 | A (%) | HD | FPR (%) | FNR (%) |
| SVM (RBF) | 0.964 | 0.988 | 0.975 | 0.985 | 96.29 | 0.022 | 6.451 | 0.724 |
| SVM (Polynomial d = 3) | 0.948 | 0.965 | 0.965 | 0.98 | 96.01 | 0.029 | 9.756 | 0.579 |
| SVM (Sigmoid) | 0.921 | 0.971 | 0.944 | 0.962 | 94.45 | 0.055 | 13.359 | 2.519 |
| SVM (Linear) | 0.916 | 0.969 | 0.938 | 0.963 | 94.56 | 0.054 | 15.242 | 1.497 |
| NB | 0.844 | 0.948 | 0.899 | 0.935 | 90.18 | 0.098 | 14.543 | 3.202 |
| kNN (3) | 0.927 | 0.974 | 0.949 | 0.968 | 95.3 | 0.047 | 12.891 | 1.615 |
| RF (3, 20) | 0.815 | 0.943 | 0.887 | 0.938 | 90.29 | 0.0971 | 26.666 | 1.471 |
| DNN | 0.992 | 0.997 | 0.996 | 0.987 | 98.07 | 0.019 | 4.048 | 1.159 |
| CNN-1D | 0.969 | 0.956 | 0.975 | 0.983 | 97.44 | 0.026 | 4.118 | 2.017 |
| CNN (VGG16) | 0.972 | 0.983 | 0.983 | 0.946 | 97.61 | 0.0804 | 4.581 | 2.326 |
Performance metrics of ML and DL algorithms.
AUC, area under curve; AUPRC, area under precision-recall curve; AP, average precision; F1, F1 score; A, accuracy; HD, hamming distance; FPR, false positive rate; FNR, false negative rate; SVM, support vector machine; RBF, radial basis function; d, degree; NB, naïve Bayes; kNN, k-nearest neighbor; RF, random forest; DNN, deep neural network; CNN-1D, convolution neural network-one dimension; CNN (VGG16), convolution neural network- visual geometry group16. Best performing model (highlighted in bold).
FIGURE 3

ROCs of the best performing models (CNN, SVM, DNN, and CNN-1D) and their respective AUCs.
FIGURE 4

Accuracy and loss plot of the DNN model for the prediction of BBB permeability.
The better performance of DL algorithms compared to ML could be due to their ability to handle the large dataset and extract the most relevant features of their own. The performance metrics of DNN, CNN-1D, and CNN (VGG16) were very comparable. To our surprise, DNN was found to be slightly better in overall performance based on accuracy and other performance indicators compared to the CNN models. DNN appears to be a better option to handle the compounds encoded with physicochemical and fingerprint features for classifications and predictions. Based on the overall performance, we selected the DNN model for the development of “DeePred-BBB.” DeePred-BBB can predict BBB permeability based on chemical SMILES notation. It uses PaDel to calculate the features from the SMILES notation and sends them as input to the DNN model. The output is either permeable or non-permeable.
Compounds can penetrate the BBB using various different mechanisms, such as transmembrane diffusion, adsorptive endocytosis, saturable transporters, and extracellular pathways. Most drugs in clinical use till date are small, lipid soluble molecules that cross the BBB by transmembrane diffusion. The prediction models to determine the mechanism of BBB permeability require a mechanism-based set of compounds with their permeability class labels for each mechanism. However, the current study deals with the prediction of the BBB permeability of compounds (irrespective of how they penetrate the BBB) using their SMILES notations. The study holds limitations in identifying the mechanism by which compounds are BBB permeable. DeePred-BBB does not take multiple SMILES notations for prediction. The user needs to input the SMILES notations of compounds one at a time for accurate prediction of BBB permeability. A comparison between DeePred-BBB and previously reported BBB permeability prediction models is given in Table 7.
TABLE 7
| Algorithm | Data set | Prediction performance | Study group |
| SVM (RBF) | 1,562 compounds (BBB+ = 694, BBB- = 868) | >85% accuracy, sensitivity, and specificity | |
| Decision trees | 581 compounds | Accuracy = 87.93%, Sensitivity = 86.67% Specificity = 89.29% | |
| SVM (RBF) | 1,990 compounds (BBB permeable = 1,550, BBB non-permeable = 440) | Accuracy = 93.96%, Sensitivity = 94.3%, Specificity = 91.0%, MCC = 0.84 | |
| SVM, kNN | 2,358 compounds | Accuracy = 96.6%, Sensitivity = 92.5%, Specificity = 89.9% | |
| DL | 462 compounds (BBB permeable = 250, BBB non-permeable = 212) | Accuracy = 97%, AUC = 0.98, F1 = 0.92 | |
| RNN | 2,342 compounds | Accuracy = 96.53%, Sensitivity = 94.91%, Specificity = 98.09%, MCC = 0.931, AUC = 0.986 | |
| Light Gradient Boosting Machine Algorithm | 7,162 compounds (BBB permeable = 5,453 BBB non-permeable = 1,709) | Accuracy = 90%, sensitivity = 85%, specificity = 94% | |
| RF, Multilayer perceptron, Sequential minimal optimization | 605 compounds (training) +1,566 compounds (validation) | Accuracy = 86.5% | |
| SVM (RBF) | 1,978 compounds (BBB permeable = 1,550, BBB non-permeable = 440) | Accuracy = 96.77%, AUC = 0.964, F1 = 0.975 | |
| DNN | 3,605 compounds (BBB permeable = 2,704 BBB non-permeable = 901) | Accuracy = 98.07%, AUC = 0.992, AP = 0.997, F1 = 0.987 | Current study |
Comparative analysis of DeePred-BBB with recently published BBB permeability prediction models.
AUC, area under curve; AUPRC, area under precision-recall curve; AP, average precision; BBB, blood brain barrier; DL, deep learning; F1, F1 score; kNN, k-nearest neighbor; MCC, Matthews correlation coefficient; RBF, radial basis function; RF, random forest; RNN, recurrent neural network; SVM, support vector machine.
Conclusion
Deep learning and machine learning algorithms were applied to a dataset of 3,605 compounds to develop a prediction model that could accurately predict the BBB permeability of compounds using their SMILES notations as input. The comparative analysis of the performance metrics of the developed models suggested that the overall performance of DNN-based BBB permeability prediction is better than that of the ML and CNN models. It was discovered that the notion of “deeper the network, better the accuracy” does not often hold true. An optimal depth of the network is required beyond which the performance of the network does not improve. A DNN model with three layers (depth) having 200, 100, and 2 nodes each was the most accurate. It was also observed that in the case of compounds, the physicochemical properties and fingerprint-based DL models yield slightly better performance than 2D-structure image-based models in BBB permeability prediction.
Based on this study, we propose the DeePred-BBB model for BBB permeability prediction of compounds using their SMILES notations as input. In DeePred-BBB, the best performing DNN model is integrated with the open-source PaDel tool to calculate features. The calculated features are automatically fed to the DNN model as input, which predicts whether the compound will be BBB permeable or non-permeable. DeePred-BBB could assist in making quality decisions regarding which compound to carry forward in subsequent drug development stages and could potentially help in reducing the attrition rate of CNS-acting drug candidates failing due to BBB non-permeability. Inevitably, such drug candidates need further in vivo validation to arrive at efficacious and safe drugs at a faster rate and lower cost. DeePred-BBB could be accessed at https://github.com/12rajnish/DeePred-BBB.
Publisher’s Note
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
Statements
Data availability statement
The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author/s.
Author contributions
RK and AS access to all of the data analyzed in this study, drafted the manuscript, and performed the statistical analysis. RK takes responsibility for the integrity and accuracy of the study data analysis and results. RK, AS, AA and GA involved in the study design, concept, analysis, and interpretation of data. AB, MK, AA, and GA involved in critical revision of the manuscript. All authors contributed to the article and approved the submitted version.
Funding
The Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia, has funded this project under Grant No. KEP-36-130-42. The authors therefore acknowledge with thanks DSR’s technical and financial support.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Supplementary material
The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fnins.2022.858126/full#supplementary-material
Footnotes
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Summary
Keywords
blood-brain barrier, convolutional neural network, deep learning, machine learning, prediction, CNS-permeability
Citation
Kumar R, Sharma A, Alexiou A, Bilgrami AL, Kamal MA and Ashraf GM (2022) DeePred-BBB: A Blood Brain Barrier Permeability Prediction Model With Improved Accuracy. Front. Neurosci. 16:858126. doi: 10.3389/fnins.2022.858126
Received
19 January 2022
Accepted
14 March 2022
Published
03 May 2022
Volume
16 - 2022
Edited by
Corinne Lasmezas, The Scripps Research Institute, United States
Reviewed by
Sezen Vatansever, Icahn School of Medicine at Mount Sinai, United States; Mootaz M. Salman, University of Oxford, United Kingdom
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© 2022 Kumar, Sharma, Alexiou, Bilgrami, Kamal and Ashraf.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Ghulam Md Ashraf, ashraf.gm@gmail.com, gashraf@kau.edu.sa
This article was submitted to Neurodegeneration, a section of the journal Frontiers in Neuroscience
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