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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>NADR-Net: A Deep Learning Framework for Predicting Neurological Adverse Drug Reactions Using 17 Molecular Descriptors</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Anushka Chaurasia</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Deepak Kumar</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yogita</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer Science and Engineering, National Institute of Technology</institution>
          ,
          <addr-line>Meghalaya</addr-line>
          ,
          <country country="IN">India</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Computer and Engineering, National Institute of Technology Kurukshetra</institution>
          ,
          <country country="IN">India</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Neurological adverse drug reactions (NADRs) pose a significant clinical challenge as they can have a profound impact on patient health and treatment outcomes. While diverse drug descriptors have been employed for neurological ADR prediction, the potential of using 17 molecular descriptors for this purpose has not been explored. To address this, a multilabel NADR-Net and MLSMOTE-based framework have been proposed for neurological adverse drug reaction prediction. The data for 17 MD and ADRs were extracted from PubChem and ADRECs databases and then mapped based on drug ID. The resulting dataset contained information on 2160 drugs, including their molecular properties, and 1030 ADRs. The methodology was then applied to this dataset, and it showed promising results in terms of hamming loss, precision, true positive rate, f1 score, and ROC-AUC. This study highlights the potential of using molecular descriptors for predicting neurological ADRs, which could improve patient outcomes and drug safety.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Neurological Adverse Drug Reaction</kwd>
        <kwd>Deep Neural Network</kwd>
        <kwd>17 Molecular Descriptors (17MD)</kwd>
        <kwd>MLSMOTE</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        An Adverse Drug Reaction (ADR) is characterized as a Superfluous or deleterious reaction
experienced after the administration of a medication [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. These reactions may vary in severity
and have the potential to impact any organ or body system. The timely detection of ADRs is
recognized as essential for averting further complications and ensuring patient safety. In recent
times, there has been a noted increase in the prevalence of neurological adverse drug reactions
(NADRs) [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. A study conducted in Central India [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] focused on the analysis and presentation
of the occurrence and severity of spontaneous ADR reports. It was observed in this study that
the majority of ADRs, particularly neurological ADRs, manifested within the initial five days
following medication commencement [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Additionally, another research identified over 47,000
ADR reports associated with metoclopramide use. Similar to the previous findings, it was noted
that most ADRs, including neurological ones, typically occurred within the first few days of
starting metoclopramide therapy [5] [6]. From the literature perspective, considerable research
has been conducted in the field of ADR prediction. However, when it comes to the prediction of
NADRs, only a limited number of studies have been undertaken. These studies [7] have primarily
focused on employing biological, structural fingerprint, and phenotypic drug properties for
the prediction of 22 neurological ADRs, framing it as a binary classification problem. They
have notably utilized machine learning techniques, which necessitated the selection of relevant
features. The challenge of NADR detection, characterized as a multilabel issue where a single
drug can induce multiple ADRs concurrently, accentuates the importance of this research.
Therefore, the main aim of this study is to predict NADRs using 17 molecular Descriptors(MD).
These 17 MD are considered essential for the prediction of ADRs as they are intrinsically linked
to a drug’s physicochemical characteristics, which directly impact its pharmacokinetics (the
movement of drugs within the body) and pharmacodynamics (the biological efects of drugs on
the body).
      </p>
      <p>To achieve this aim, a deep neural network-based framework, NADR-Net, is designed to
process and analyze the 17 MD characteristics of drugs to identify potential neurological adverse
efects. To handle class imbalance, MLSMOTE is applied. The eficacy of this framework is
validated using five performance metrics: precision, true positive rate, f1-score, AUC-ROC score,
and hamming loss. Furthermore, the performance of the proposed architecture is compared
with two other DNN architectures, namely, the standard DNN and the DNN with a 1-skip
connection. Subsequently, the framework’s performance, with and without the use of MLSMOTE, is
compared to demonstrate the influence of the MLSMOTE technique on the model’s proficiency
in accurately predicting NADRs.</p>
      <p>The remainder of this paper is structured as follows: Section 2 presents related work, Section
3 outlines the dataset and proposed methodology for predicting NADR-Net, Section 4 details
the experimental setup and results, and Section 6 ofers concluding remarks.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Work</title>
      <p>In the last few years, several proposals have been made to use machine learning and deep learning
to address the problem of ADR prediction. One such study [7] employed a binary classification
approach and evaluated 176 machine-learning models for 22 NADRs. The models were trained
using drug properties, including biological, chemical, and phenotypic aspects. SMOTE was
applied to mitigate class imbalance. Relief-based feature selection techniques were used to
identify relevant drug properties. Lee et al. [8] introduced a three-interval method integrating
chemical and biological drug properties, outperforming k-nearest neighbor, naïve Bayes, and
random forest classifiers. Another study [ 9] suggested a hybrid clustering-based approach to
analyze the quantitative relationships between adverse drug reactions and patient attributes.
Further, Jamal et al. [10] focused on predicting adverse drug reactions for cardiovascular drugs
through biological and chemical information, therapeutic indications, and their combined
datasets, using techniques specifically RF, SVM, and Sequential Minimization Optimization.
This approach addressed the issue of class imbalance through SMOTE. Another study describes
an approach to generating DL-based, systematic ADR prediction models [11] [12]. In a related
study, Dey et al. [13] use ML models, including a DL framework, to simultaneously predict ADRs
and identify the underlying mechanisms. The models were trained on chemical-protein binding
and gene expression datasets to improve prediction performance. Zheng et al. [14] examined and
pinpointed the adverse efects associated with medications through the use of Highly Credible
Negative Samples (HCNS), which were derived from various sources, including pathways, target
proteins, chemical substructures, substituents, and the connection between genes and diseases.
Their research dataset included 1,048 drugs and 1,276 diferent side efects. Das et al. [ 15]
explored a multi-label ML strategy using drug functions and the MLSMOTE technique for
handling class imbalances. In a recent review article, Lee et al. [16] provides an overview of
the detection and classification of side efects using deep learning approaches. They show that
deep learning approaches can help reduce or prevent the occurrence of ADRs by detecting
and predicting them during post-marketing surveillance. Martenot et al. [17] proposed a
DLbased pipeline for ADR monitoring in the biomedical literature that was introduced to detect
serious ADRs in relevant documents at the sentence level. It relies on a modular architecture of
open-source fine-tuned models and drug entities. Wang et al. [ 18] developed a deep learning
model to examine drug side efects using descriptors from various sources, including biomedical
literature from MEDLINE, drug-like and biological properties from PubChem and DrugBank,
respectively. These elements were combined into a dataset for analysis using an MLP model
with two hidden layers. The model outperformed others like Gaussian NB, Linear SVM, and
PMF, achieving a top AUC of 84.40</p>
      <p>The investigation of NADRs remains primarily focused on chemical and biological properties
in existing literature, with only one study [7]conducted in this domain. However, a notable
lack of research using a set of 17 specific molecular properties to explore these ADRs exists.
Prior research has employed traditional machine learning models and the SMOTE for data
balancing, limiting their scope to 22 non-neurological ADRs (NADRs). To date, the potential of
deep learning models in studying neurological ADRs remains largely unexplored, highlighting
a significant gap in current research.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Dataset and Methodological Framework</title>
      <p>This section presents the acquisition of 17 MD datasets to predict neurological adverse drug
reactions. Furthermore, the problem statement for predicting NADR and the proposed framework
for solving the stated problem has been demonstrated.</p>
      <sec id="sec-3-1">
        <title>3.1. Problem Statement</title>
        <p>Let  = {1, 2, . . . , } be a set of drugs, where  is the total number of drugs. Each drug
 is characterized by a feature vector x ∈ R17, representing the 17 molecular properties of
the drug. The objective is to map each drug  to a set of neurological ADRs. Define the set of
all possible ADRs as  = {1, 2, . . . , 1030}, where each  represents a unique neurological
ADR. The task is to learn a function  : R17 → {0, 1}1030 such that for each drug , the
function predicts a binary vector y =  (x), where y ∈ {0, 1}1030. In this vector,  = 1
indicates the presence of the ADR  for the drug , and  = 0 indicates its absence.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Dataset Acquisition</title>
        <p>In this section, the preparation of datasets for validating the proposed methodology is carried out
by integrating 17 molecular drug descriptors and neurological adverse drug reactions (NADRs)
data, as illustrated in Figure. 1. The properties of 17 molecules from drugs are retrieved from the
PubChem [19] database using the PubChemPy Python package, resulting in a dataset of 2310
drugs, each characterized by 17 distinct features. These features include exact mass, hydrogen
bond donor count, molecular weight, covalently-bonded unit count, rotatable bond count,
undefined bond stereocenter count, complexity, monoisotopic mass, defined bond stereocenter
count, topological polar surface area, isotope atom count, hydrogen bond acceptor count,
formal charge, heavy atom count, defined atom stereocenter count, and XlogP3. The data on
neurological adverse drug reactions, comprising 2160 drug samples and information on the
occurrence and non-occurrence of 1030 ADRs, is extracted from the ADRECs [20] database.
The dataset is created by mapping the 17 molecular drug descriptors with ADR data on drug ID.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Multilabel Synthetic Minority Over-sampling Technique (MLSMOTE)</title>
        <p>In this study, we applied the MLSMOTE [21] to mitigate the challenge of underrepresented data
in NADRs. MLSMOTE enhances the dataset by creating synthetic samples, specifically chosen
for its ability to consider the multi-label characteristics of our data. The process begins with
identifying minority labels, which are those with fewer average data samples compared to others.
Subsequently, all data samples associated with these minority labels are identified. We then
randomly select a sample from this minority group and identify its k-nearest neighbors to form
a reference neighborhood. The generation of synthetic data samples involves an interpolation
method for attributes and a majority voting approach for labels, utilizing the selected minority
sample and its neighbors. In this context, the number of nearest neighbors (k) was set to 3.</p>
        <p>No.</p>
      </sec>
      <sec id="sec-3-4">
        <title>3.4. Proposed Framework</title>
        <p>Adverse neurological drug reactions are predicted using a deep neural network-based
architecture (NADR-Net), as detailed in Table. 1. This architecture utilizes a sequential and concatenated
approach to process 17 molecular properties. The model begins with an input layer, indicating
the dataset’s feature count, followed by dense layers. Each layer employs a ReLU (Rectified
Linear Unit) activation function, introducing non-linearity and enhancing the model’s ability to
learn complex patterns.</p>
        <p>The input data is transformed into a compressed representation in the described neural
network model through a series of dense layers. Initially, the input is compressed into a
1024dimensional space by the first layer, which is then reduced to 528 dimensions by the second
layer. Following this, the output of the second layer is concatenated with the original input,
resulting in a 545-dimensional vector. This vector undergoes further dimensionality reduction
through two additional dense layers, ultimately bringing it down to 128 dimensions. Another
concatenation operation combines the output of the third layer with that of the second layer to
leverage low-level and high-level features from the previous layers. Finally, the resulting vector
is transformed by one last dense layer into a 64-dimensional output. For the final output, a
1030-dimensional vector is produced using a sigmoid activation function, indicating the model’s
capacity for multi-label classification. By combining earlier and deeper features in the network,
this architecture enhances the learning process through feature reusability and representation
learning.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Experimental Setup and Results</title>
      <p>This section presents the evaluation measures, experimental setup, and findings from analyzing
17 molecular properties in predicting neurological adverse drug reactions using the proposed
framework, NADR-Net.</p>
      <sec id="sec-4-1">
        <title>4.1. Evaluation Metrics</title>
        <p>The performance of the proposed framework was evaluated using the following measures.
Consider  = {(test ,   )| = 1, 2, . . . , } as the multi-label dataset, where  signifies
the actual label set for the test instance test , and   represents the labels predicted by the
classifier.</p>
        <sec id="sec-4-1-1">
          <title>4.1.1. Hamming Loss:</title>
          <p>Is defined as the frequency at which the model inaccurately predicts a label pair for a given
sample   . In this context, ∆ represents the symmetric diference between two sets, which is
used to calculate the mismatch between the predicted and actual labels [22].</p>
          <p>1 ∑︁ 1
Hamming Loss =  =1 || |  ∆   |
(1)
(2)
(3)
(4)</p>
        </sec>
        <sec id="sec-4-1-2">
          <title>4.1.2. Precision:</title>
          <p>Is the ratio of actual positive predictions to the total number of positive predictions made by
the model [22].</p>
          <p>Precision =
1 ∑︁ |  ∩  |
 =1
|  |</p>
        </sec>
        <sec id="sec-4-1-3">
          <title>4.1.3. True Positive Rate (TPR):</title>
          <p>Is defined as the ratio of the number of positive samples correctly identified by the model (True
Positives) to the total number of actual positive samples in the data (the sum of True Positives
and False Negatives) [22].</p>
          <p>Precision =
1 ∑︁ |  ∩  |
 =1
| |
4.1.4. F1-Score:
Is the harmonic average of TPR and Precision [22].</p>
          <p>F1 Score =
1 ∑︁ 2 × | PL ∩ AL|
 =1 |PL| + |AL|</p>
        </sec>
        <sec id="sec-4-1-4">
          <title>4.1.5. ROC-AUC score:</title>
          <p>It indicates a model’s ability to discriminate across classes, with the ROC curve plotting true
versus false positive rates and the AUC quantifying the overall classification accuracy. Higher
AUC indicates better model performance.</p>
        </sec>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Experimental Setup</title>
        <p>The implementation of the proposed framework was carried out using the Scikit-learn package
in Python 3.7.4. An Intel (R) i5-5300U CPU and 512 GB of RAM were utilized by the deep
learning framework. In the DNN architecture, the ReLU activation function and six hidden
layers (1024, 528, 256, 128, 64, 32) were employed. For the DNN with one skip connection,
two hidden layers (1024, 528) were used in conjunction with the ReLU activation function,
followed by a concatenation layer that combines the input layer with the second hidden layer
(528). Subsequently, four hidden layers (256, 128, 64, 32) were utilized. ReLU and Sigmoid
activation functions were adopted to address non-linearities and probabilistic outputs, crucial
for multi-label classification. A learning rate of 0.01 was set to ensure eficient convergence.
Binary cross-entropy was selected as the loss function due to its efectiveness in independent
label predictions. The Adam optimizer was used for its capability to manage sparse gradients.
The training was conducted over 150 epochs with a batch size of 32, aiming to balance learning
eficiency and prevent overfitting, optimizing the model’s performance for the multi-label dataset.
These hyperparameters were kept consistent across all three architectures. Additionally, the
cross-validation technique was used for validation, where 80% of the data was allocated for
training and 20% for testing.</p>
      </sec>
      <sec id="sec-4-3">
        <title>4.3. Experimental Results and Discussion</title>
        <p>This section analyses the efectiveness of the proposed framework, comparing it with DNN and
DNN with 1-skip connection architectures, and evaluates the impact of using the MLSMOTE
technique. The model is evaluated on test data and calculates various performance measures.
Table 2 presents a comparative performance analysis of deep neural network, DNN with a 1-skip
connection, and NADR-NET. Each architecture’s performance is evaluated based on various
metrics: precision, actual positive rate (TPR), f1-score, ROC-AUC, and hamming loss. Precision
showed an incremental increase from 89.06% to 91.24%, TPR improved from 93.12% to 95.77%,
and the f1-Score rose from 92.01 to 93.45. ROC-AUC and hamming loss saw similar trends, with
ROC-AUC escalating from 95.65% to 97.02% and loss decreasing from 2.32 to 2.12. These results
suggest that NADR-NET architecture significantly enhances model eficacy with increments
ranging from approximately 2% to 5% across five metrics.</p>
        <p>As delineated in Figure. 2, precision, true positive rate (TPR), f1-score, and ROC-AUC are
presented for each fold, ranging from 1 to 7. Precision percentages fluctuate slightly, maintaining
above 90% across all folds. TPR predominantly remains in the mid-95% range, peaking at 96.77%
in fold 3. The F1-Score, indicative of test accuracy, consistently stays above 93%, reflecting
robust model performance. ROC-AUC values, representing the model’s class distinction ability,
are uniformly high, with all folds scoring above 96%. It can be observed from the above graph
that the predictive model exhibits a high degree of accuracy and reliability, as evidenced by the
performance metrics across all folds in the cross-validation process.</p>
        <p>The incorporation of MLSMOTE was evaluated both with and without the NADR-Net’s
performance in the research study. The results, as demonstrated in Figure. 3, indicated a
substantial enhancement in the model’s performance. More than a 42% increase was shown in
precision, while the rate of correctly identified positive instances experienced a growth of over
55%. A nearly 49% improvement was exhibited in the aggregate measure of test accuracy, and the
model’s ability to diferentiate between classes improved by approximately 28%. Furthermore,
the occurrence of incorrect labels decreased by over 50%, underscoring the significant impact of
MLSMOTE on the overall efectiveness of the NADR-Net.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion</title>
      <p>The proposed methodology efectively showcased the capability of the NADR-Net, a deep neural
network, to predict adverse neurological drug reactions utilizing 17 molecular properties. A
significant aspect of the study was addressed by applying the Multilabel Synthetic Minority
Over-sampling Technique (MLSMOTE) to overcome the challenge of class imbalance. The
eficacy of NADR-Net was evaluated rigorously using five performance metrics: a high precision
of 91.24 ± 0.0028, TPR of 95.77 ± 0.0051, F1 score of 93.45 ± 0.0017, ROC-AUC of 97.02 ±
0.0023 and maintaining a hamming loss at a minimal 2.12 ± 0.0004 were notably achieved. A
comparative analysis revealed that the model’s performance was notably enhanced by including
the MLSMOTE-enhanced dataset. In the future, an expanded set of drug properties could be
utilized to enhance prediction capabilities and integrate mechanisms to demystify the black box
model’s decision-making process.
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