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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2025.1611784</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Predictive prioritization of genes significantly associated with biotic and abiotic stresses in maize using machine learning algorithms</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Pradhan</surname>
<given-names>Anjan Kumar</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2947384/overview"/>
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<contrib contrib-type="author">
<name>
<surname>Gandham</surname>
<given-names>Prasad</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Rajasekaran</surname>
<given-names>Kanniah</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Baisakh</surname>
<given-names>Niranjan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>School of Plant, Environmental and Soil Sciences, Louisiana State University Agricultural Center</institution>, <addr-line>Baton Rouge, LA</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Southern Regional Research Center, USDA-ARS</institution>, <addr-line>New Orleans, LA</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Gurjeet Singh, Texas A and M University, United States</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Tanmaya Kumar Sahu, Indian Institute of Agricultural Biotechnology (ICAR), India</p>
<p>Ali Babar, University of Florida, United States</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Niranjan Baisakh, <email xlink:href="mailto:nbaisakh@agcenter.lsu.edu">nbaisakh@agcenter.lsu.edu</email>
</p>
</fn>
<fn fn-type="other" id="fn003">
<p>&#x2020;ORCID: Niranjan Baisakh, <uri xlink:href="https://orcid.org/0000-0001-8733-0923">orcid.org/0000-0001-8733-0923</uri>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>19</day>
<month>06</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1611784</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>27</day>
<month>05</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Pradhan, Gandham, Rajasekaran and Baisakh</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Pradhan, Gandham, Rajasekaran and Baisakh</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>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.</p>
</license>
</permissions>
<abstract>
<p>Both biotic and abiotic stresses pose serious threats to the growth and productivity of crop plants, including maize worldwide. Identifying genes and associated networks underlying stress resistance responses in maize is paramount. A meta-transcriptome approach was undertaken to interrogate 39,756 genes differentially expressed in response to biotic and abiotic stresses in maize were interrogated for prioritization through seven machine learning (ML) models, such as support vector machine (SVM), partial least squares discriminant analysis (PLSDA), k-nearest neighbors (KNN), gradient boosting machine (GBM), random forest (RF), na&#xef;ve bayes (NB), and decision tree (DT) to predict top-most significant genes for stress conditions. Improved performances of the algorithms via feature selection from the raw gene features identified 235 unique genes as top candidate genes across all models for all stresses. Three genes such as <italic>Zm00001eb176680</italic>, <italic>Zm00001eb176940</italic>, and <italic>Zm00001eb179190</italic> expressed as <italic>bZIP</italic> transcription factor 68, glycine-rich cell wall structural protein 2, and aldehyde dehydrogenase 11 (<italic>ALDH11</italic>), respectively were commonly predicted as top-most candidates between abiotic stress and combined stresses and were identified from a weighted gene co-expression network as the hub genes in the brown module. However, only one gene <italic>Zm00001eb038720</italic> encoding RNA-binding protein AU-1/Ribonuclease E/G, predicted by the PLSDA algorithm, was found commonly expressed under both biotic and abiotic stress. Genes involved in hormone signaling and nucleotide binding were significantly differentially regulated under stress conditions. These genes had an abundance of antioxidant responsive elements and abscisic acid responsive elements in their promoter region, suggesting their role in stress response. The top-ranked genes predicted to be key players in multiple stress resistance in maize need to be functional validated to ascertain their roles and further utilization in developing stress-resistant maize varieties.</p>
</abstract>
<kwd-group>
<kwd>a(biotic) stress</kwd>
<kwd>artificial intelligence</kwd>
<kwd>gene expression</kwd>
<kwd>maize</kwd>
<kwd>RNA-Seq</kwd>
</kwd-group>
<counts>
<fig-count count="1"/>
<table-count count="6"/>
<equation-count count="0"/>
<ref-count count="86"/>
<page-count count="14"/>
<word-count count="6335"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Plant Abiotic Stress</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>Plants are constantly subjected to various biotic and abiotic stresses that have negative effects on the growth, development, and productivity of economically important crops including maize (<italic>Zea mays</italic> L.) (<xref ref-type="bibr" rid="B54">Ramegowda and Senthil-Kumar, 2015</xref>). Maize is a main grain, forage, and energy crop as well as a genetic model plant (<xref ref-type="bibr" rid="B13">Farooqi et&#xa0;al., 2022</xref>). It is one of the most important cereal crops cultivated worldwide, mainly in Africa and South America (<xref ref-type="bibr" rid="B30">Kimotho et&#xa0;al., 2019</xref>). After wheat and rice, maize is the most frequent cereal food in Mexico (<xref ref-type="bibr" rid="B48">Nazari et&#xa0;al., 2023</xref>). United States remains the largest producer of maize. According to USDA, corn production for the 2024/25 marketing year is projected to be around 377.63 million metric tons, a 1% reduction than last year, which is attributed to extreme drought and heat during the 2024 crop year (<ext-link ext-link-type="uri" xlink:href="https://www.fas.usda.gov/data/production/commodity/0440000">https://www.fas.usda.gov/data/production/commodity/0440000</ext-link>).</p>
<p>Abiotic stresses such as drought, cold, submergence, salinity, waterlogging, heavy metal contamination, or nutrient deficiency can reduce crop yield by more than &gt;50% (<xref ref-type="bibr" rid="B43">Mallikarjuna et&#xa0;al., 2020</xref>). Similarly, biotic stresses, caused by living organisms such as bacteria, viruses, fungi, or nematodes, negatively affect the productivity of maize by approximately 10% (<xref ref-type="bibr" rid="B48">Nazari et&#xa0;al., 2023</xref>). Plants undergo genome-wide transcriptome reprogramming in response to external stressors, which leads to induction and/or repression of genes associated with various mechanisms at whole plant, organellar, cellular, and molecular levels. Recent advances in various omics technologies have accelerated the identification of genes and biological processes controlling stress responses in plants. Analysis of transcriptomes has made it possible to identify genes overexpressed/repressed under specific stress (<xref ref-type="bibr" rid="B61">Sharma et&#xa0;al., 2013</xref>). However, in field conditions, plants are repeatedly exposed to multiple stresses simultaneously, which requires the plants to exercise efficient molecular mechanisms to recognize a host of signals to effectively respond to more than one stress (<xref ref-type="bibr" rid="B61">Sharma et&#xa0;al., 2013</xref>). Both biotic and abiotic stress factors and their various combinations in natural conditions elicit modified stress responses in plants. In addition to several genes, transcription factors (TFs) are known to be significantly involved in stress response in plants (<xref ref-type="bibr" rid="B86">Zhu, 2002</xref>). Many TFs from AP2/IREP, bZIP, MYB, NAC, and WRKY families have been found to improve stress resistance by regulating the expression of other stress-responsive genes in plants (<xref ref-type="bibr" rid="B52">Qin et&#xa0;al., 2011</xref>). Thus, the identification and characterization of key genes that are co-expressed in plants&#x2019; response to both abiotic and biotic stresses would provide targets for genetic strategies to improve stress tolerance.</p>
<p>Over the years, several stress-regulated genes have been identified in maize using both microarray and RNA-seq approaches (<xref ref-type="bibr" rid="B19">Hayford et&#xa0;al., 2024</xref>). However, deciphering unique genes responding to specific or multiple stresses requires significant computational maneuvers. Meta-analysis is recognized as a reasonable yet statistically powerful approach where the results from multiple independent studies can be combined to eliminate the challenges due to variations between individual studies (<xref ref-type="bibr" rid="B53">Ramasamy et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B26">Keel and Lindholm-Perry, 2022</xref>). Meta-analysis has been used successfully on transcriptomic data of several crops including maize to identify potentially top candidate genes that are regulated in plants to cope with stress (<xref ref-type="bibr" rid="B4">Baisakh et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B19">Hayford et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B72">Wang et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B49">Nazari et al., 2024</xref>).</p>
<p>The multidimensionality of RNA-seq and microarray data owing to the high number of variables and genes with minimal sample size necessitates a gene selection technique to find the most informative, expressed genes and remove the redundancy in the original space (<xref ref-type="bibr" rid="B41">Mahendran et&#xa0;al., 2020</xref>). Machine Learning (ML), which is a subset of artificial intelligence, focuses on training the algorithms based on available datasets thus enabling models to learn to make decisions on their own from data without explicit programming. ML uses feature extraction and selection as a reduction technique for classification performance to make decisions on the top features (<xref ref-type="bibr" rid="B31">Kira and Rendell, 1992</xref>). In this study, we conducted a meta-analysis for integrating RNA-seq data across independent studies on biotic and abiotic stresses in maize to predictably identify the top-most significantly differentially expressed genes using ML tools. Furthermore, we compared the results from multiple ML models and integrated gene co-expression network analysis to identify the most useful stress-responsive genes.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Materials and methods</title>
<sec id="s2_1">
<title>RNA-seq data collection and feature counts</title>
<p>All RNA-seq datasets related to both biotic and abiotic stresses in maize (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;1</bold>
</xref>) were searched online using the publicly available sequence repository database i.e., NCBI Gene Sequence Read Archive (<ext-link ext-link-type="uri" xlink:href="https://www.ncbi.nlm.nih.gov/sra">https://www.ncbi.nlm.nih.gov/sra</ext-link>). Raw sequence reads were subjected to quality control and filtering following the method described earlier (<xref ref-type="bibr" rid="B6">Bedre et&#xa0;al., 2015</xref>). Clean sequence reads were mapped against the B73 reference genome NAM 5.0 using HISAT2 (<xref ref-type="bibr" rid="B27">Kim et&#xa0;al., 2019</xref>) with default parameters. Mapped reads were then counted for genomic features such as genes, chromosomal locations, etc. using the FeatureCounts program (<xref ref-type="bibr" rid="B38">Liao et&#xa0;al., 2014</xref>).</p>
</sec>
<sec id="s2_2">
<title>Read counts preprocessing and merging</title>
<p>Gene expression data are often associated with high inconsistency due to noise and pieces attributed to the differences in sample numbers, labels, experimental conditions, etc. To correct these biases caused by non-biological conditions, data were normalized using &#x201c;normalize.quantiles&#x201d; in R package <italic>preprocessCore</italic> version 1.56.0 following <xref ref-type="bibr" rid="B57">Schadt et&#xa0;al. (2001)</xref>. However, normalization procedures do not adjust the sample data for batch effects (BE) when merging batches of data from multiple experiments that contain large batch-to-batch variation. Therefore, BE correction was performed using the &#x2018;<italic>ComBat</italic>&#x2019; function within the SVA package in R as described earlier (<xref ref-type="bibr" rid="B83">Zhang et&#xa0;al., 2022</xref>), which uses empirical Bayes method that estimates the LS parameters (mean and variance) for each gene and merges information from multiple genes with similar expression attributes in each batch.</p>
</sec>
<sec id="s2_3">
<title>Machine learning gene selection approaches</title>
<p>Gene expression data in the form of classified attributes with feature counts of several thousands of genes with expression patterns from multiple stress samples were analyzed to identify the most important genes, which required extraction and selection of features with discriminating ability. For ML, 80% of the data was used as a training set and the remaining 20% as the test/validation set. The classification of maize samples for the gene expression under control and (a)biotic stress was used to select the ML models that can best identify the top stress-responsive genes. We used seven ML algorithms (i.e., SVM, support vector machine; PLSDA, partial least squares discriminant analysis, KNN: K-nearest neighbors, GBM, gradient boosting machine; RF, random forest; NB, na&#xef;ve bayes; and DT, decision tree) for the identification of most informative genes from the differentially expressed genes (DEGs). Variable importance (VarImp) evaluation functions were grouped with and without the model information. A model-based approach is more closely tied to its performance, which can integrate the correlation structure between the predictors (genes in this case) into the importance calculation. Each gene is assigned a separate variable importance for each class in classification models where all importance measures are scaled at minimum and maximum values of 0 and 100, respectively. The area under the receiver operating characteristic (ROC) curve (AUC) values for each gene was obtained using the &#x201c;<italic>filterVarImp&#x201d;</italic> function.</p>
<p>The SVM algorithm was used to identify top genes with R package <italic>e1071</italic> version 1.7&#x2013;6 using the function of SVM-radial and default code: RFE (x = data, y = as.numeric (as.factor (group)), sizes = c (seq (2, 40, by = 2)), RFE-Control = rfeControl (functions = caretFuncs, method = &#x201c;cv&#x201d;), methods = &#x201c;svmRadial&#x201d;). Another model, Random Forest (version 4.6&#x2013;14), was implemented using the <italic>RF</italic> algorithm with the following parameters: ntree = 100&#x2013;500 and mtry = 1 &#x2013; 8 (<xref ref-type="bibr" rid="B28">Kim et&#xa0;al., 2022</xref>). The relevance score and ranking of the genes in RF and SVM were determined following the recursive feature elimination (REF) method as per the program manual.</p>
<p>The PLS-DA method was implemented in R package <italic>PLSDA</italic> with PLS regression where Y is a set of binary response variables describing the categories (control or stress) of a categorical variable on X, where X is the gene expression matrix using the equation of <xref ref-type="bibr" rid="B51">P&#xe9;rez-Enciso and Tenenhaus (2003)</xref> that used the algorithm of <xref ref-type="bibr" rid="B75">Wold et&#xa0;al. (1983)</xref> to allow for missing values. We identified the top genes using variable importance in projection (<italic>VIP</italic>) for each gene (<xref ref-type="bibr" rid="B12">Eriksson et&#xa0;al., 1999</xref>). GBM, an ensemble method (<xref ref-type="bibr" rid="B18">Hastie et&#xa0;al., 2009</xref>) is also used for regression and classification methods with reduced variance and bias in simple prediction models (<xref ref-type="bibr" rid="B18">Hastie et&#xa0;al., 2009</xref>). The <italic>caret</italic> package in R was used with the GBM function for selecting the top genes. The <italic>caret</italic> package was also used for KNN model with 10-fold cross-validation and default parameter <italic>tune-Length</italic> =10 to select the top-ranked genes for different stresses. Similarly, the DT model used the R package <italic>Rpart</italic> to select the top genes through <italic>mtree</italic> function. Another method, Na&#xef;ve Bayes version 0.9.7 was adopted for the NB algorithm with 10-fold cross-validation for identifying the most important genes. The performance of each ML model was determined by classification metrics such as accuracy, precision, specificity, sensitivity (recall), F1-score, Mathews correlation coefficient (MCC), and ROC derived from the confusion matrix following the equations described in <xref ref-type="bibr" rid="B56">Sabanci et&#xa0;al. (2022)</xref>. The confusion matrix was prepared with the maize gene under control labeled as 1 and stress as -1.</p>
</sec>
<sec id="s2_4">
<title>Gene co-expression network analysis</title>
<p>Weighted gene co-expression network analysis (WGCNA) is used in systems biology to make clusters (modules) of highly correlated genes based on the module eigengene (ME) and to identify an intramodular hub gene. The expression values of genes after normalization and batch effect correction were used in the R package <italic>WGCNA</italic> version 1.66 (<xref ref-type="bibr" rid="B33">Langfelder and Horvath, 2008</xref>) for weighted co-expression network construction where the similar matrix between each pair of genes across all samples was evaluated based on the Pearson&#x2019;s correlation values. Modules were identified by the <italic>blockwiseModules</italic> function of the <italic>WGCNA</italic> package with default parameters and a tree cut height of 0.4. The modules were defined at a cut height of 0.98 and a size at 30. Similar modules were merged when dissimilarity of module eigengenes was &lt;0.25. The function <italic>signedKME</italic> was used to calculate module eigengene values (KME) based on the correlation of the module eigengene (ME) with the corresponding gene. Modules with correlation value (r) &gt;0.8 between genes and P-value &lt;0.01 were considered as significant modules (<xref ref-type="bibr" rid="B10">de Silva et&#xa0;al., 2022</xref>). Gene significance was calculated based on the <italic>p</italic> value of the linear regression between the gene expression profile with multiple stress conditions. The hub genes in a module were identified based on gene significance value (GS) &gt;0.5, module eigengene (KME) &gt;0.8, and with maximum connections with other genes (<xref ref-type="bibr" rid="B4">Baisakh et&#xa0;al., 2023</xref>). Gene co-expression network was visualized using Cytoscape (version 3.10.3) software in R (<xref ref-type="bibr" rid="B60">Shannon et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B4">Baisakh et&#xa0;al., 2023</xref>).</p>
</sec>
<sec id="s2_5">
<title>Gene ontology and promoter analysis</title>
<p>The ontology of the genes was assigned by the singular enrichment analysis within AgriGO version 2 (<ext-link ext-link-type="uri" xlink:href="https://systemsbiology.cau.edu.cn/agriGOv2/">https://systemsbiology.cau.edu.cn/agriGOv2/</ext-link>) and gene ontology enrichment was performed using Fisher&#x2019;s <italic>t-test</italic> (P&lt;0.05) and FDR correction by the Hochberg method. Metabolic pathway enrichment analysis was performed using the DAVID tool version 6.7 (<ext-link ext-link-type="uri" xlink:href="https://davidbioinformatics.nih.gov/tools.jsp">https://davidbioinformatics.nih.gov/tools.jsp</ext-link>). The top genes common between two or more models were used to extract 2000 bp upstream flanking region of sequence using the Ensembl Plants database (<ext-link ext-link-type="uri" xlink:href="http://plants.ensembl.org">http://plants.ensembl.org</ext-link>). Promoter prediction and identification of cis-regulatory elements (CREs) within a promoter were performed using PlantCARE (<ext-link ext-link-type="uri" xlink:href="https://bioinformatics.psb.ugent.be/webtools/plantcare/html/">https://bioinformatics.psb.ugent.be/webtools/plantcare/html/</ext-link>).</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results and discussion</title>
<sec id="s3_1">
<title>DEGs under biotic and abiotic stress</title>
<p>Raw sequence reads of a total of 3,052 samples, which included 976 from biotic (bacteria, fungus, insect, nematode, and weed) and 2,076 from abiotic (drought, heat, cold, waterlogging, salt, nutrient, and mechanical wounding) stresses, were obtained from 52 RNA-seq studies conducted with 12 stress conditions of which five were biotic and seven were abiotic (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;1</bold>
</xref>). Finally, 39,756 differentially expressed genes from 1,452 samples (451 from biotic and 1001 from abiotic) and 22 of 52 studies after normalization and batch effect correction, respectively were used in ML models sets to identify the topmost significant genes.</p>
</sec>
<sec id="s3_2">
<title>Identification of top stress-responsive genes by ML models</title>
<p>Identifying top stress-responsive DEGs was conducted for biotic or abiotic stress individually and in combination to identify top genes unique to a specific stress category and common between the stress categories.</p>
<sec id="s3_2_1">
<title>Prediction of top genes under biotic stress</title>
<p>Based on the confusion matrix (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;2</bold>
</xref>) of the seven ML models, SVM performed the best with the highest average accuracy of 76.6% followed by RF (73.0%) and GBM (71.8%) whereas NB, KNN, DT, and PLSDA performed very poorly with an average accuracy of 57% (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1A</bold>
</xref>). SVM also had the highest specificity (0.81) and MCC (0.54) with precision (0.81) behind KNN (0.84) and sensitivity (0.73) behind NB (0.83), RF (0.80), and GBM (0.75). Interestingly, SVM had the lowest F1-score (0.56). However, MCC, which considers all four parameters in the confusion matrix, is considered a better performance matrix as compared to F1-score, which only considers precision/recall. DT had the worst performance in terms of accuracy (53.5%), sensitivity (0.58), and MCC (0.03), although it had a slightly better specificity over PLSDA and NB, higher precision than NB, and higher F1-score than SVM. DT was the least sensitive algorithm correctly detecting only 0.58 for positive samples.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1A</label>
<caption>
<p>Confusion matrices of machine learning algorithms used with gene expression values under biotic stress in maize.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Models</th>
<th valign="middle" align="left">Accuracy</th>
<th valign="middle" align="left">Specificity</th>
<th valign="middle" align="left">Sensitivity</th>
<th valign="middle" align="left">Precision</th>
<th valign="middle" align="left">F1-score</th>
<th valign="middle" align="left">MCC</th>
<th valign="top" align="left">FP Rate</th>
<th valign="top" align="left">ROC Area</th>
<th valign="top" align="left">PRC Area</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">NB</td>
<td valign="middle" align="left">57</td>
<td valign="middle" align="left">0.418</td>
<td valign="middle" align="left">0.837</td>
<td valign="middle" align="left">0.45</td>
<td valign="middle" align="left">0.585</td>
<td valign="middle" align="left">0.318</td>
<td valign="middle" align="left">0.581</td>
<td valign="middle" align="left">1.44</td>
<td valign="middle" align="left">0.537</td>
</tr>
<tr>
<td valign="middle" align="left">KNN</td>
<td valign="middle" align="left">63.7</td>
<td valign="middle" align="left">0.75</td>
<td valign="middle" align="left">0.601</td>
<td valign="middle" align="left">0.885</td>
<td valign="middle" align="left">0.716</td>
<td valign="middle" align="left">0.299</td>
<td valign="middle" align="left">0.250</td>
<td valign="middle" align="left">2.40</td>
<td valign="middle" align="left">1.47</td>
</tr>
<tr>
<td valign="middle" align="left">DT</td>
<td valign="middle" align="left">52.5</td>
<td valign="middle" align="left">0.459</td>
<td valign="middle" align="left">0.581</td>
<td valign="middle" align="left">0.565</td>
<td valign="middle" align="left">0.573</td>
<td valign="middle" align="left">0.034</td>
<td valign="middle" align="left">0.540</td>
<td valign="middle" align="left">1.07</td>
<td valign="middle" align="left">0.972</td>
</tr>
<tr>
<td valign="middle" align="left">GBM</td>
<td valign="middle" align="left">71.8</td>
<td valign="middle" align="left">0.687</td>
<td valign="middle" align="left">0.746</td>
<td valign="middle" align="left">0.726</td>
<td valign="middle" align="left">0.736</td>
<td valign="middle" align="left">0.434</td>
<td valign="middle" align="left">0.528</td>
<td valign="middle" align="left">1.41</td>
<td valign="middle" align="left">0.973</td>
</tr>
<tr>
<td valign="middle" align="left">SVM</td>
<td valign="middle" align="left">76.6</td>
<td valign="middle" align="left">0.809</td>
<td valign="middle" align="left">0.729</td>
<td valign="middle" align="left">0.813</td>
<td valign="middle" align="left">0.555</td>
<td valign="middle" align="left">0.538</td>
<td valign="middle" align="left">0.190</td>
<td valign="middle" align="left">3.83</td>
<td valign="middle" align="left">1.11</td>
</tr>
<tr>
<td valign="middle" align="left">RF</td>
<td valign="middle" align="left">73</td>
<td valign="middle" align="left">0.6</td>
<td valign="middle" align="left">0.8</td>
<td valign="middle" align="left">0.8</td>
<td valign="middle" align="left">0.8</td>
<td valign="middle" align="left">0.4</td>
<td valign="middle" align="left">0.400</td>
<td valign="middle" align="left">2.00</td>
<td valign="middle" align="left">1.00</td>
</tr>
<tr>
<td valign="middle" align="left">PLSDA</td>
<td valign="middle" align="left">54.9</td>
<td valign="middle" align="left">0.431</td>
<td valign="middle" align="left">0.602</td>
<td valign="middle" align="left">0.702</td>
<td valign="middle" align="left">0.648</td>
<td valign="middle" align="left">0.212</td>
<td valign="middle" align="left">0.568</td>
<td valign="middle" align="left">1.05</td>
<td valign="middle" align="left">1.16</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>Table 1B</label>
<caption>
<p>Performance matrices of top genes predicted under biotic stress in maize.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" colspan="2" align="left">Naive Bayes</th>
<th valign="middle" colspan="2" align="left">GBM</th>
<th valign="middle" colspan="2" align="left">DT</th>
<th valign="middle" colspan="2" align="left">RF</th>
<th valign="middle" colspan="2" align="left">SVM</th>
<th valign="middle" colspan="2" align="left">K-NN</th>
<th valign="middle" colspan="2" align="left">PLSDA</th>
</tr>
<tr>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">AUC</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">rel.inf</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">rel.inf</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">AUC</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">RMSE</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">AUC</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">VIP-score</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Zm00001eb034620</td>
<td valign="middle" align="left">100</td>
<td valign="middle" align="left">Zm00001eb024180</td>
<td valign="middle" align="left">2.749</td>
<td valign="middle" align="left">Zm00001eb110400</td>
<td valign="middle" align="left">15.767</td>
<td valign="middle" align="left">Zm00001eb088840</td>
<td valign="middle" align="left">100</td>
<td valign="middle" align="left">Zm00001eb019130</td>
<td valign="middle" align="left">13.103</td>
<td valign="middle" align="left">Zm00001eb034620</td>
<td valign="middle" align="left">100</td>
<td valign="middle" align="left">Zm00001eb176300</td>
<td valign="middle" align="left">3.597</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb019590</td>
<td valign="middle" align="left">95.14</td>
<td valign="middle" align="left">Zm00001eb034330</td>
<td valign="middle" align="left">1.932</td>
<td valign="middle" align="left">Zm00001eb087410</td>
<td valign="middle" align="left">13.015</td>
<td valign="middle" align="left">Zm00001eb034620</td>
<td valign="middle" align="left">97.71</td>
<td valign="middle" align="left">Zm00001eb034390</td>
<td valign="middle" align="left">10.995</td>
<td valign="middle" align="left">Zm00001eb145370</td>
<td valign="middle" align="left">99.23</td>
<td valign="middle" align="left">Zm00001eb021020</td>
<td valign="middle" align="left">3.484</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb136760</td>
<td valign="middle" align="left">94.34</td>
<td valign="middle" align="left">Zm00001eb164530</td>
<td valign="middle" align="left">1.601</td>
<td valign="middle" align="left">Zm00001eb097390</td>
<td valign="middle" align="left">12.867</td>
<td valign="middle" align="left">Zm00001eb158600</td>
<td valign="middle" align="left">97.7</td>
<td valign="middle" align="left">Zm00001eb090610</td>
<td valign="middle" align="left">8.963</td>
<td valign="middle" align="left">Zm00001eb034390</td>
<td valign="middle" align="left">99.09</td>
<td valign="middle" align="left">Zm00001eb047030</td>
<td valign="middle" align="left">3.404</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb071870</td>
<td valign="middle" align="left">90.04</td>
<td valign="middle" align="left">Zm00001eb071760</td>
<td valign="middle" align="left">1.547</td>
<td valign="middle" align="left">Zm00001eb034390</td>
<td valign="middle" align="left">12.142</td>
<td valign="middle" align="left">Zm00001eb090610</td>
<td valign="middle" align="left">95.54</td>
<td valign="middle" align="left">Zm00001eb181690</td>
<td valign="middle" align="left">3.937</td>
<td valign="middle" align="left">Zm00001eb070640</td>
<td valign="middle" align="left">94.85</td>
<td valign="middle" align="left">Zm00001eb038720</td>
<td valign="middle" align="left">3.316</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb145370</td>
<td valign="middle" align="left">88.4</td>
<td valign="middle" align="left">Zm00001eb068730</td>
<td valign="middle" align="left">1.537</td>
<td valign="middle" align="left">Zm00001eb088150</td>
<td valign="middle" align="left">9.324</td>
<td valign="middle" align="left">Zm00001eb034390</td>
<td valign="middle" align="left">71.42</td>
<td valign="middle" align="left">Zm00001eb088150</td>
<td valign="middle" align="left">3.567</td>
<td valign="middle" align="left">Zm00001eb037820</td>
<td valign="middle" align="left">94.61</td>
<td valign="middle" align="left">Zm00001eb168410</td>
<td valign="middle" align="left">3.269</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb150630</td>
<td valign="middle" align="left">87.8</td>
<td valign="middle" align="left">Zm00001eb029780</td>
<td valign="middle" align="left">1.48</td>
<td valign="middle" align="left">Zm00001eb160330</td>
<td valign="middle" align="left">8.25</td>
<td valign="middle" align="left">Zm00001eb042770</td>
<td valign="middle" align="left">57.97</td>
<td valign="middle" align="left">Zm00001eb115060</td>
<td valign="middle" align="left">3.486</td>
<td valign="middle" align="left">Zm00001eb166710</td>
<td valign="middle" align="left">91.05</td>
<td valign="middle" align="left">Zm00001eb137800</td>
<td valign="middle" align="left">3.267</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb067180</td>
<td valign="middle" align="left">87.11</td>
<td valign="middle" align="left">Zm00001eb084520</td>
<td valign="middle" align="left">1.434</td>
<td valign="middle" align="left">Zm00001eb019620</td>
<td valign="middle" align="left">8.097</td>
<td valign="middle" align="left">Zm00001eb151510</td>
<td valign="middle" align="left">55.2</td>
<td valign="middle" align="left">Zm00001eb110450</td>
<td valign="middle" align="left">3.467</td>
<td valign="middle" align="left">Zm00001eb063720</td>
<td valign="middle" align="left">90.73</td>
<td valign="middle" align="left">Zm00001eb100490</td>
<td valign="middle" align="left">3.203</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb103210</td>
<td valign="middle" align="left">86.27</td>
<td valign="middle" align="left">Zm00001eb046720</td>
<td valign="middle" align="left">1.405</td>
<td valign="middle" align="left">Zm00001eb171130</td>
<td valign="middle" align="left">7.986</td>
<td valign="middle" align="left">Zm00001eb010720</td>
<td valign="middle" align="left">54.44</td>
<td valign="middle" align="left">Zm00001eb184360</td>
<td valign="middle" align="left">2.821</td>
<td valign="middle" align="left">Zm00001eb090610</td>
<td valign="middle" align="left">90.54</td>
<td valign="middle" align="left">Zm00001eb096510</td>
<td valign="middle" align="left">3.193</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb050760</td>
<td valign="middle" align="left">85.22</td>
<td valign="middle" align="left">Zm00001eb027600</td>
<td valign="middle" align="left">1.38</td>
<td valign="middle" align="left">Zm00001eb034620</td>
<td valign="middle" align="left">7.939</td>
<td valign="middle" align="left">Zm00001eb078220</td>
<td valign="middle" align="left">53.74</td>
<td valign="middle" align="left">Zm00001eb100260</td>
<td valign="middle" align="left">2.778</td>
<td valign="middle" align="left">Zm00001eb150630</td>
<td valign="middle" align="left">86.82</td>
<td valign="middle" align="left">Zm00001eb022830</td>
<td valign="middle" align="left">3.182</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb157100</td>
<td valign="middle" align="left">85.19</td>
<td valign="middle" align="left">Zm00001eb103260</td>
<td valign="middle" align="left">1.373</td>
<td valign="middle" align="left">Zm00001eb053690</td>
<td valign="middle" align="left">7.351</td>
<td valign="middle" align="left">Zm00001eb002660</td>
<td valign="middle" align="left">51</td>
<td valign="middle" align="left">Zm00001eb109670</td>
<td valign="middle" align="left">2.526</td>
<td valign="middle" align="left">Zm00001eb028560</td>
<td valign="middle" align="left">86.76</td>
<td valign="middle" align="left">Zm00001eb143050</td>
<td valign="middle" align="left">3.149</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb143200</td>
<td valign="middle" align="left">84.91</td>
<td valign="middle" align="left">Zm00001eb075780</td>
<td valign="middle" align="left">1.365</td>
<td valign="middle" align="left">Zm00001eb034330</td>
<td valign="middle" align="left">7.005</td>
<td valign="middle" align="left">Zm00001eb144000</td>
<td valign="middle" align="left">48.32</td>
<td valign="middle" align="left">Zm00001eb146780</td>
<td valign="middle" align="left">2.301</td>
<td valign="middle" align="left">Zm00001eb067440</td>
<td valign="middle" align="left">86.22</td>
<td valign="middle" align="left">Zm00001eb056920</td>
<td valign="middle" align="left">3.135</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb097950</td>
<td valign="middle" align="left">84.9</td>
<td valign="middle" align="left">Zm00001eb156230</td>
<td valign="middle" align="left">1.321</td>
<td valign="middle" align="left">Zm00001eb034490</td>
<td valign="middle" align="left">7.005</td>
<td valign="middle" align="left">Zm00001eb088150</td>
<td valign="middle" align="left">45.85</td>
<td valign="middle" align="left">Zm00001eb167510</td>
<td valign="middle" align="left">2.281</td>
<td valign="middle" align="left">Zm00001eb043810</td>
<td valign="middle" align="left">85.91</td>
<td valign="middle" align="left">Zm00001eb111400</td>
<td valign="middle" align="left">3.134</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb156230</td>
<td valign="middle" align="left">84.7</td>
<td valign="middle" align="left">Zm00001eb061490</td>
<td valign="middle" align="left">1.307</td>
<td valign="middle" align="left">Zm00001eb043550</td>
<td valign="middle" align="left">6.274</td>
<td valign="middle" align="left">Zm00001eb143200</td>
<td valign="middle" align="left">44.58</td>
<td valign="middle" align="left">Zm00001eb167230</td>
<td valign="middle" align="left">2.031</td>
<td valign="middle" align="left">Zm00001eb020250</td>
<td valign="middle" align="left">85.57</td>
<td valign="middle" align="left">Zm00001eb065380</td>
<td valign="middle" align="left">3.13</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb088150</td>
<td valign="middle" align="left">84.59</td>
<td valign="middle" align="left">Zm00001eb155370</td>
<td valign="middle" align="left">1.263</td>
<td valign="middle" align="left">Zm00001eb015830</td>
<td valign="middle" align="left">5.476</td>
<td valign="middle" align="left">Zm00001eb063710</td>
<td valign="middle" align="left">42.95</td>
<td valign="middle" align="left">Zm00001eb097390</td>
<td valign="middle" align="left">2.02</td>
<td valign="middle" align="left">Zm00001eb071760</td>
<td valign="middle" align="left">84.86</td>
<td valign="middle" align="left">Zm00001eb016660</td>
<td valign="middle" align="left">3.124</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb002660</td>
<td valign="middle" align="left">83.45</td>
<td valign="middle" align="left">Zm00001eb133930</td>
<td valign="middle" align="left">1.208</td>
<td valign="middle" align="left">Zm00001eb016210</td>
<td valign="middle" align="left">5.219</td>
<td valign="middle" align="left">Zm00001eb094950</td>
<td valign="middle" align="left">42.68</td>
<td valign="middle" align="left">Zm00001eb020250</td>
<td valign="middle" align="left">1.927</td>
<td valign="middle" align="left">Zm00001eb099610</td>
<td valign="middle" align="left">84.67</td>
<td valign="middle" align="left">Zm00001eb081510</td>
<td valign="middle" align="left">3.097</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb110740</td>
<td valign="middle" align="left">83.4</td>
<td valign="middle" align="left">Zm00001eb003880</td>
<td valign="middle" align="left">1.19</td>
<td valign="middle" align="left">Zm00001eb018440</td>
<td valign="middle" align="left">5.085</td>
<td valign="middle" align="left">Zm00001eb019130</td>
<td valign="middle" align="left">41.4</td>
<td valign="middle" align="left">Zm00001eb088840</td>
<td valign="middle" align="left">1.879</td>
<td valign="middle" align="left">Zm00001eb075030</td>
<td valign="middle" align="left">84.32</td>
<td valign="middle" align="left">Zm00001eb098910</td>
<td valign="middle" align="left">3.09</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb182980</td>
<td valign="middle" align="left">83.32</td>
<td valign="middle" align="left">Zm00001eb083490</td>
<td valign="middle" align="left">1.1849</td>
<td valign="middle" align="left">Zm00001eb116160</td>
<td valign="middle" align="left">5.085</td>
<td valign="middle" align="left">Zm00001eb011650</td>
<td valign="middle" align="left">39.35</td>
<td valign="middle" align="left">Zm00001eb087410</td>
<td valign="middle" align="left">1.842</td>
<td valign="middle" align="left">Zm00001eb150350</td>
<td valign="middle" align="left">84.28</td>
<td valign="middle" align="left">Zm00001eb131030</td>
<td valign="middle" align="left">3.089</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb070860</td>
<td valign="middle" align="left">83.29</td>
<td valign="middle" align="left">Zm00001eb154470</td>
<td valign="middle" align="left">1.182</td>
<td valign="middle" align="left">Zm00001eb018350</td>
<td valign="middle" align="left">4.87</td>
<td valign="middle" align="left">Zm00001eb174340</td>
<td valign="middle" align="left">39.35</td>
<td valign="middle" align="left">Zm00001eb118770</td>
<td valign="middle" align="left">1.74</td>
<td valign="middle" align="left">Zm00001eb165610</td>
<td valign="middle" align="left">83.8</td>
<td valign="middle" align="left">Zm00001eb039370</td>
<td valign="middle" align="left">3.087</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb109860</td>
<td valign="middle" align="left">83.07</td>
<td valign="middle" align="left">Zm00001eb157410</td>
<td valign="middle" align="left">1.175</td>
<td valign="middle" align="left">Zm00001eb063710</td>
<td valign="middle" align="left">4.662</td>
<td valign="middle" align="left">Zm00001eb097390</td>
<td valign="middle" align="left">37.74</td>
<td valign="middle" align="left">Zm00001eb042770</td>
<td valign="middle" align="left">1.587</td>
<td valign="middle" align="left">Zm00001eb075420</td>
<td valign="middle" align="left">83.65</td>
<td valign="middle" align="left">Zm00001eb104430</td>
<td valign="middle" align="left">3.087</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb078870</td>
<td valign="middle" align="left">82.68</td>
<td valign="middle" align="left">Zm00001eb045900</td>
<td valign="middle" align="left">1.166</td>
<td valign="middle" align="left">Zm00001eb075030</td>
<td valign="middle" align="left">4.662</td>
<td valign="middle" align="left">Zm00001eb071400</td>
<td valign="middle" align="left">37.58</td>
<td valign="middle" align="left">Zm00001eb170900</td>
<td valign="middle" align="left">1.555</td>
<td valign="middle" align="left">Zm00001eb094950</td>
<td valign="middle" align="left">83.55</td>
<td valign="middle" align="left">Zm00001eb043420</td>
<td valign="middle" align="left">3.085</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>MCC = Mathews correlation coefficient, ROC = receiver operating characteristic, PRC = precision recall curve.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The top 20 genes predicted by each model resulted in a total of 111 unique top significantly differentially regulated genes by all seven models (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;1B</bold>
</xref>). Of these, 16 genes were predicted by at least two models. Four genes, <italic>Zm00001eb034390</italic>, <italic>Zm00001eb088150</italic>, <italic>Zm00001eb042770</italic>, and <italic>Zm00001eb097390</italic> predicted as top genes by two or more models including the two high-performing models, SVM and RF, were considered the most significantly differentially expressed genes under biotic stress.</p>
</sec>
<sec id="s3_2_2">
<title>Prediction of top genes under abiotic stress</title>
<p>The confusion matrix (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;2</bold>
</xref>) for the abiotic stress responsive genes revealed that the highest average accuracy of 88.6% was obtained by GBM, closely followed by SVM (87.5%) and RF (87.0%) algorithms (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;2A</bold>
</xref>). RF had the highest MCC value (0.72) followed by SVM at 0.71 and GBM (0.6). SVM had the highest specificity (0.94) followed by RF at 0.89 and precision (0.86). Altogether, 68 unique genes were identified as most informative by all seven models. Twenty-one genes were consistently predicted as top abiotic stress-related genes by at least two models of which 12 were common in four or more models, which included GBM, SVM, RF and KNN models that had higher accuracy and/or model performance matrices compared to other models (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;2B</bold>
</xref>). Interestingly, only one gene <italic>Zm00001eb038720</italic>, predicted by PLSDA, was consistent between the biotic and abiotic stress conditions.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;2A</label>
<caption>
<p>Confusion matrices of machine learning algorithms used with gene expression values under abiotic stress in maize.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Models</th>
<th valign="middle" align="left">Accuracy (%)</th>
<th valign="middle" align="left">Specificity</th>
<th valign="middle" align="left">Sensitivity</th>
<th valign="middle" align="left">Precision</th>
<th valign="middle" align="left">F1-score</th>
<th valign="middle" align="left">MCC</th>
<th valign="top" align="left">FP Rate</th>
<th valign="top" align="left">ROC Area</th>
<th valign="top" align="left">PRC Area</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">NB</td>
<td valign="middle" align="left">80.30</td>
<td valign="middle" align="left">0.893</td>
<td valign="middle" align="left">0.675</td>
<td valign="middle" align="left">0.813</td>
<td valign="middle" align="left">0.748</td>
<td valign="middle" align="left">0.589</td>
<td valign="middle" align="left">0.107</td>
<td valign="middle" align="left">6.30</td>
<td valign="middle" align="left">1.20</td>
</tr>
<tr>
<td valign="middle" align="left">KNN</td>
<td valign="middle" align="left">80.00</td>
<td valign="middle" align="left">0.767</td>
<td valign="middle" align="left">0.932</td>
<td valign="middle" align="left">0.495</td>
<td valign="middle" align="left">0.647</td>
<td valign="middle" align="left">0.580</td>
<td valign="middle" align="left">0.397</td>
<td valign="middle" align="left">2.34</td>
<td valign="middle" align="left">0.531</td>
</tr>
<tr>
<td valign="middle" align="left">DT</td>
<td valign="middle" align="left">77.33</td>
<td valign="middle" align="left">0.801</td>
<td valign="middle" align="left">0.721</td>
<td valign="middle" align="left">0.657</td>
<td valign="middle" align="left">0.688</td>
<td valign="middle" align="left">0.511</td>
<td valign="middle" align="left">0.198</td>
<td valign="middle" align="left">3.64</td>
<td valign="middle" align="left">0.911</td>
</tr>
<tr>
<td valign="middle" align="left">GBM</td>
<td valign="middle" align="left">88.60</td>
<td valign="middle" align="left">0.895</td>
<td valign="middle" align="left">0.868</td>
<td valign="middle" align="left">0.803</td>
<td valign="middle" align="left">0.834</td>
<td valign="middle" align="left">0.600</td>
<td valign="middle" align="left">0.104</td>
<td valign="middle" align="left">8.34</td>
<td valign="middle" align="left">0.925</td>
</tr>
<tr>
<td valign="middle" align="left">SVM</td>
<td valign="middle" align="left">87.50</td>
<td valign="middle" align="left">0.939</td>
<td valign="middle" align="left">0.750</td>
<td valign="middle" align="left">0.864</td>
<td valign="middle" align="left">0.803</td>
<td valign="middle" align="left">0.716</td>
<td valign="middle" align="left">0.058</td>
<td valign="middle" align="left">12.93</td>
<td valign="middle" align="left">1.15</td>
</tr>
<tr>
<td valign="middle" align="left">RF</td>
<td valign="middle" align="left">87.00</td>
<td valign="middle" align="left">0.897</td>
<td valign="middle" align="left">0.840</td>
<td valign="middle" align="left">0.790</td>
<td valign="middle" align="left">0.984</td>
<td valign="middle" align="left">0.725</td>
<td valign="middle" align="left">0.111</td>
<td valign="middle" align="left">7.56</td>
<td valign="middle" align="left">0.940</td>
</tr>
<tr>
<td valign="middle" align="left">PLSDA</td>
<td valign="middle" align="left">78.10</td>
<td valign="middle" align="left">0.853</td>
<td valign="middle" align="left">0.644</td>
<td valign="middle" align="left">0.697</td>
<td valign="middle" align="left">0.695</td>
<td valign="middle" align="left">0.507</td>
<td valign="middle" align="left">0.146</td>
<td valign="middle" align="left">4.41</td>
<td valign="middle" align="left">1.08</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T4" position="float">
<label>Table 2B</label>
<caption>
<p>Performance matrices of top genes predicted under abiotic stress in maize.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" colspan="2" align="left">Naive Bayes</th>
<th valign="middle" colspan="2" align="left">GBM</th>
<th valign="middle" colspan="2" align="left">DT</th>
<th valign="middle" colspan="2" align="left">RF</th>
<th valign="middle" colspan="2" align="left">SVM</th>
<th valign="middle" colspan="2" align="left">K-NN</th>
<th valign="middle" colspan="2" align="left">PLSDA</th>
</tr>
<tr>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">AUC</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">rel.inf</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">rel.inf</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">AUC</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">RMSE</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">AUC</th>
<th valign="middle" align="left">Genes</th>
<th valign="middle" align="left">VIP- score</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Zm00001eb012040</td>
<td valign="middle" align="left">100</td>
<td valign="middle" align="left">Zm00001eb146690</td>
<td valign="middle" align="left">5.456</td>
<td valign="middle" align="left">Zm00001eb012040</td>
<td valign="middle" align="left">134.264</td>
<td valign="middle" align="left">Zm00001eb112930</td>
<td valign="middle" align="left">100</td>
<td valign="middle" align="left">Zm00001eb012040</td>
<td valign="middle" align="left">164.770</td>
<td valign="middle" align="left">Zm00001eb160470</td>
<td valign="middle" align="left">100</td>
<td valign="middle" align="left">Zm00001eb133500</td>
<td valign="middle" align="left">4.406</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb146690</td>
<td valign="middle" align="left">98.30</td>
<td valign="middle" align="left">Zm00001eb058820</td>
<td valign="middle" align="left">5.212</td>
<td valign="middle" align="left">Zm00001eb112930</td>
<td valign="middle" align="left">96.502</td>
<td valign="middle" align="left">Zm00001eb021010</td>
<td valign="middle" align="left">88.00</td>
<td valign="middle" align="left">Zm00001eb160470</td>
<td valign="middle" align="left">72.756</td>
<td valign="middle" align="left">Zm00001eb176940</td>
<td valign="middle" align="left">99.94</td>
<td valign="middle" align="left">Zm00001eb027100</td>
<td valign="middle" align="left">4.332</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb176680</td>
<td valign="middle" align="left">97.50</td>
<td valign="middle" align="left">Zm00001eb012040</td>
<td valign="middle" align="left">4.980</td>
<td valign="middle" align="left">Zm00001eb160470</td>
<td valign="middle" align="left">94.104</td>
<td valign="middle" align="left">Zm00001eb012040</td>
<td valign="middle" align="left">83.00</td>
<td valign="middle" align="left">Zm00001eb176680</td>
<td valign="middle" align="left">52.022</td>
<td valign="middle" align="left">Zm00001eb012040</td>
<td valign="middle" align="left">99.62</td>
<td valign="middle" align="left">Zm00001eb130760</td>
<td valign="middle" align="left">4.200</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb021010</td>
<td valign="middle" align="left">97.50</td>
<td valign="middle" align="left">Zm00001eb044020</td>
<td valign="middle" align="left">4.689</td>
<td valign="middle" align="left">Zm00001eb098220</td>
<td valign="middle" align="left">91.107</td>
<td valign="middle" align="left">Zm00001eb176680</td>
<td valign="middle" align="left">80.30</td>
<td valign="middle" align="left">Zm00001eb201180</td>
<td valign="middle" align="left">33.061</td>
<td valign="middle" align="left">Zm00001eb126900</td>
<td valign="middle" align="left">99.05</td>
<td valign="middle" align="left">Zm00001eb117220</td>
<td valign="middle" align="left">4.158</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb160470</td>
<td valign="middle" align="left">96.80</td>
<td valign="middle" align="left">Zm00001eb176680</td>
<td valign="middle" align="left">4.590</td>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="left">88.710</td>
<td valign="middle" align="left">Zm00001eb146690</td>
<td valign="middle" align="left">78.30</td>
<td valign="middle" align="left">Zm00001eb146690</td>
<td valign="middle" align="left">20.824</td>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="left">98.94</td>
<td valign="middle" align="left">Zm00001eb099850</td>
<td valign="middle" align="left">3.991</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb044020</td>
<td valign="middle" align="left">96.40</td>
<td valign="middle" align="left">Zm00001eb176940</td>
<td valign="middle" align="left">2.674</td>
<td valign="middle" align="left">Zm00001eb179190</td>
<td valign="middle" align="left">86.312</td>
<td valign="middle" align="left">Zm00001eb058820</td>
<td valign="middle" align="left">76.40</td>
<td valign="middle" align="left">Zm00001eb248930</td>
<td valign="middle" align="left">20.611</td>
<td valign="middle" align="left">Zm00001eb044020</td>
<td valign="middle" align="left">98.60</td>
<td valign="middle" align="left">Zm00001eb104530</td>
<td valign="middle" align="left">3.899</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb112930</td>
<td valign="middle" align="left">95.50</td>
<td valign="middle" align="left">Zm00001eb021010</td>
<td valign="middle" align="left">2.138</td>
<td valign="middle" align="left">Zm00001eb151430</td>
<td valign="middle" align="left">18.992</td>
<td valign="middle" align="left">Zm00001eb160470</td>
<td valign="middle" align="left">74.10</td>
<td valign="middle" align="left">Zm00001eb192710</td>
<td valign="middle" align="left">19.716</td>
<td valign="middle" align="left">Zm00001eb176680</td>
<td valign="middle" align="left">97.59</td>
<td valign="middle" align="left">Zm00001eb068620</td>
<td valign="middle" align="left">3.884</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="left">95.50</td>
<td valign="middle" align="left">Zm00001eb075250</td>
<td valign="middle" align="left">1.858</td>
<td valign="middle" align="left">Zm00001eb072870</td>
<td valign="middle" align="left">16.477</td>
<td valign="middle" align="left">Zm00001eb044020</td>
<td valign="middle" align="left">66.90</td>
<td valign="middle" align="left">Zm00001eb238010</td>
<td valign="middle" align="left">16.154</td>
<td valign="middle" align="left">Zm00001eb179190</td>
<td valign="middle" align="left">97.43</td>
<td valign="middle" align="left">Zm00001eb090990</td>
<td valign="middle" align="left">3.824</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb176940</td>
<td valign="middle" align="left">95.20</td>
<td valign="middle" align="left">Zm00001eb030400</td>
<td valign="middle" align="left">1.591</td>
<td valign="middle" align="left">Zm00001eb065100</td>
<td valign="middle" align="left">13.599</td>
<td valign="middle" align="left">Zm00001eb098220</td>
<td valign="middle" align="left">65.60</td>
<td valign="middle" align="left">Zm00001eb203690</td>
<td valign="middle" align="left">15.104</td>
<td valign="middle" align="left">Zm00001eb146690</td>
<td valign="middle" align="left">96.90</td>
<td valign="middle" align="left">Zm00001eb115290</td>
<td valign="middle" align="left">3.776</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb151430</td>
<td valign="middle" align="left">95.00</td>
<td valign="middle" align="left">Zm00001eb151430</td>
<td valign="middle" align="left">1.478</td>
<td valign="middle" align="left">Zm00001eb156020</td>
<td valign="middle" align="left">10.218</td>
<td valign="middle" align="left">Zm00001eb176940</td>
<td valign="middle" align="left">55.00</td>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="left">14.803</td>
<td valign="middle" align="left">Zm00001eb151430</td>
<td valign="middle" align="left">95.77</td>
<td valign="middle" align="left">Zm00001eb149960</td>
<td valign="middle" align="left">3.769</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb058820</td>
<td valign="middle" align="left">94.50</td>
<td valign="middle" align="left">Zm00001eb156510</td>
<td valign="middle" align="left">1.329</td>
<td valign="middle" align="left">Zm00001eb171000</td>
<td valign="middle" align="left">8.514</td>
<td valign="middle" align="left">Zm00001eb018700</td>
<td valign="middle" align="left">53.50</td>
<td valign="middle" align="left">Zm00001eb176940</td>
<td valign="middle" align="left">14.077</td>
<td valign="middle" align="left">Zm00001eb041030</td>
<td valign="middle" align="left">95.20</td>
<td valign="middle" align="left">Zm00001eb037980</td>
<td valign="middle" align="left">3.763</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb179190</td>
<td valign="middle" align="left">92.90</td>
<td valign="middle" align="left">Zm00001eb119820</td>
<td valign="middle" align="left">1.320</td>
<td valign="middle" align="left">Zm00001eb143640</td>
<td valign="middle" align="left">7.682</td>
<td valign="middle" align="left">Zm00001eb076550</td>
<td valign="middle" align="left">51.80</td>
<td valign="middle" align="left">Zm00001eb021010</td>
<td valign="middle" align="left">10.680</td>
<td valign="middle" align="left">Zm00001eb076550</td>
<td valign="middle" align="left">95.17</td>
<td valign="middle" align="left">Zm00001eb046590</td>
<td valign="middle" align="left">3.754</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb126900</td>
<td valign="middle" align="left">92.10</td>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="left">1.267</td>
<td valign="middle" align="left">Zm00001eb076250</td>
<td valign="middle" align="left">7.622</td>
<td valign="middle" align="left">Zm00001eb151430</td>
<td valign="middle" align="left">50.10</td>
<td valign="middle" align="left">Zm00001eb250120</td>
<td valign="middle" align="left">8.224</td>
<td valign="middle" align="left">Zm00001eb058820</td>
<td valign="middle" align="left">95.05</td>
<td valign="middle" align="left">Zm00001eb000340</td>
<td valign="middle" align="left">3.747</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb041030</td>
<td valign="middle" align="left">91.10</td>
<td valign="middle" align="left">Zm00001eb074930</td>
<td valign="middle" align="left">0.945</td>
<td valign="middle" align="left">Zm00001eb019280</td>
<td valign="middle" align="left">7.414</td>
<td valign="middle" align="left">Zm00001eb179190</td>
<td valign="middle" align="left">49.80</td>
<td valign="middle" align="left">Zm00001eb017550</td>
<td valign="middle" align="left">7.669</td>
<td valign="middle" align="left">Zm00001eb112930</td>
<td valign="middle" align="left">94.89</td>
<td valign="middle" align="left">Zm00001eb114240</td>
<td valign="middle" align="left">3.745</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb098220</td>
<td valign="middle" align="left">90.50</td>
<td valign="middle" align="left">Zm00001eb057510</td>
<td valign="middle" align="left">0.939</td>
<td valign="middle" align="left">Zm00001eb136970</td>
<td valign="middle" align="left">6.664</td>
<td valign="middle" align="left">Zm00001eb078640</td>
<td valign="middle" align="left">47.60</td>
<td valign="middle" align="left">Zm00001eb112930</td>
<td valign="middle" align="left">7.260</td>
<td valign="middle" align="left">Zm00001eb021010</td>
<td valign="middle" align="left">94.61</td>
<td valign="middle" align="left">Zm00001eb038720</td>
<td valign="middle" align="left">3.726</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb018700</td>
<td valign="middle" align="left">90.10</td>
<td valign="middle" align="left">Zm00001eb171000</td>
<td valign="middle" align="left">0.903</td>
<td valign="middle" align="left">Zm00001eb154950</td>
<td valign="middle" align="left">6.590</td>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="left">45.50</td>
<td valign="middle" align="left">Zm00001eb189080</td>
<td valign="middle" align="left">5.677</td>
<td valign="middle" align="left">Zm00001eb005840</td>
<td valign="middle" align="left">94.24</td>
<td valign="middle" align="left">Zm00001eb066950</td>
<td valign="middle" align="left">3.687</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb117180</td>
<td valign="middle" align="left">89.80</td>
<td valign="middle" align="left">Zm00001eb111020</td>
<td valign="middle" align="left">0.889</td>
<td valign="middle" align="left">Zm00001eb013080</td>
<td valign="middle" align="left">6.219</td>
<td valign="middle" align="left">Zm00001eb148130</td>
<td valign="middle" align="left">38.10</td>
<td valign="middle" align="left">Zm00001eb044020</td>
<td valign="middle" align="left">5.583</td>
<td valign="middle" align="left">Zm00001eb124290</td>
<td valign="middle" align="left">92.63</td>
<td valign="middle" align="left">Zm00001eb148300</td>
<td valign="middle" align="left">3.677</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb005840</td>
<td valign="middle" align="left">89.80</td>
<td valign="middle" align="left">Zm00001eb015730</td>
<td valign="middle" align="left">0.873</td>
<td valign="middle" align="left">Zm00001eb074360</td>
<td valign="middle" align="left">6.219</td>
<td valign="middle" align="left">Zm00001eb040280</td>
<td valign="middle" align="left">37.10</td>
<td valign="middle" align="left">Zm00001eb151430</td>
<td valign="middle" align="left">4.550</td>
<td valign="middle" align="left">Zm00001eb018700</td>
<td valign="middle" align="left">92.50</td>
<td valign="middle" align="left">Zm00001eb026650</td>
<td valign="middle" align="left">3.673</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb076550</td>
<td valign="middle" align="left">89.80</td>
<td valign="middle" align="left">Zm00001eb080960</td>
<td valign="middle" align="left">0.858</td>
<td valign="middle" align="left">Zm00001eb127040</td>
<td valign="middle" align="left">6.219</td>
<td valign="middle" align="left">Zm00001eb117180</td>
<td valign="middle" align="left">36.90</td>
<td valign="middle" align="left">Zm00001eb043060</td>
<td valign="middle" align="left">4.516</td>
<td valign="middle" align="left">Zm00001eb013780</td>
<td valign="middle" align="left">91.83</td>
<td valign="middle" align="left">Zm00001eb124020</td>
<td valign="middle" align="left">3.671</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb124290</td>
<td valign="middle" align="left">89.70</td>
<td valign="middle" align="left">Zm00001eb154060</td>
<td valign="middle" align="left">0.816</td>
<td valign="middle" align="left">Zm00001eb128310</td>
<td valign="middle" align="left">6.004</td>
<td valign="middle" align="left">Zm00001eb179280</td>
<td valign="middle" align="left">35.00</td>
<td valign="middle" align="left">Zm00001eb243850</td>
<td valign="middle" align="left">4.176</td>
<td valign="middle" align="left">Zm00001eb075250</td>
<td valign="middle" align="left">91.53</td>
<td valign="middle" align="left">Zm00001eb128720</td>
<td valign="middle" align="left">3.660</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>MCC, Mathews correlation coefficient; ROC, receiver operating characteristic; PRC, precision recall curve.</p>
</fn>
</table-wrap-foot>
</table-wrap>

</sec>
<sec id="s3_2_3">
<title>Prediction of top genes under combined stress conditions</title>
<p>When the genes responsive to biotic and/or abiotic stress conditions based on the datasets in the literature were combinedly used for prediction by seven models, RF outperformed others with the highest accuracy (81.7%) and other performance matrices except for sensitivity (0.75), which was behind SVM (0.80) and GBM (0.77) (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;3A</bold>
</xref>; <xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;2</bold>
</xref>). SVM predicted the top 20 genes with the highest sensitivity, an accuracy of 81.0%, F1-score (0.77) and MCC (0.61) second to only RF. GBM also performed good with 79.0% accuracy, nearly equal specificity and same sensitivity as SVM. NB was the worst predictor algorithm with the lowest values recorded for accuracy as well as other parameters. A total of 83 unique top significant genes were reported for combined stress by the seven models of which 11 genes were commonly predicted by four or more models. Among biotic and combined stress conditions, 23 genes were found common. On the other hand, only two genes were found within biotic and combined stress conditions (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;3B</bold>
</xref>).</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;3A</label>
<caption>
<p>Confusion matrices of machine learning algorithms used with gene expression values under combined stress conditions in maize.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Models</th>
<th valign="middle" align="left">Accuracy (%)</th>
<th valign="middle" align="left">Specificity</th>
<th valign="middle" align="left">Sensitivity</th>
<th valign="middle" align="left">Precision</th>
<th valign="middle" align="left">F1-score</th>
<th valign="middle" align="left">MCC</th>
<th valign="middle" align="left">FP Rate</th>
<th valign="middle" align="left">ROC Area</th>
<th valign="middle" align="left">PRC Area</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">NB</td>
<td valign="middle" align="left">65.10</td>
<td valign="middle" align="left">0.680</td>
<td valign="middle" align="left">0.591</td>
<td valign="middle" align="left">0.466</td>
<td valign="middle" align="left">0.523</td>
<td valign="middle" align="left">0.232</td>
<td valign="middle" align="left">0.319</td>
<td valign="middle" align="left">1.85</td>
<td valign="middle" align="left">0.788</td>
</tr>
<tr>
<td valign="middle" align="left">KNN</td>
<td valign="middle" align="left">72.00</td>
<td valign="middle" align="left">0.725</td>
<td valign="middle" align="left">0.711</td>
<td valign="middle" align="left">0.537</td>
<td valign="middle" align="left">0.612</td>
<td valign="middle" align="left">0.401</td>
<td valign="middle" align="left">0.275</td>
<td valign="middle" align="left">2.58</td>
<td valign="middle" align="left">0.755</td>
</tr>
<tr>
<td valign="middle" align="left">DT</td>
<td valign="middle" align="left">73.40</td>
<td valign="middle" align="left">0.779</td>
<td valign="middle" align="left">0.672</td>
<td valign="middle" align="left">0.689</td>
<td valign="middle" align="left">0.658</td>
<td valign="middle" align="left">0.453</td>
<td valign="middle" align="left">0.220</td>
<td valign="middle" align="left">3.05</td>
<td valign="middle" align="left">1.02</td>
</tr>
<tr>
<td valign="middle" align="left">GBM</td>
<td valign="middle" align="left">79.00</td>
<td valign="middle" align="left">0.814</td>
<td valign="middle" align="left">0.772</td>
<td valign="middle" align="left">0.753</td>
<td valign="middle" align="left">0.763</td>
<td valign="middle" align="left">0.584</td>
<td valign="middle" align="left">0.185</td>
<td valign="middle" align="left">4.17</td>
<td valign="middle" align="left">0.975</td>
</tr>
<tr>
<td valign="middle" align="left">SVM</td>
<td valign="middle" align="left">81.00</td>
<td valign="middle" align="left">0.815</td>
<td valign="middle" align="left">0.803</td>
<td valign="middle" align="left">0.746</td>
<td valign="middle" align="left">0.773</td>
<td valign="middle" align="left">0.612</td>
<td valign="middle" align="left">0.184</td>
<td valign="middle" align="left">4.36</td>
<td valign="middle" align="left">0.929</td>
</tr>
<tr>
<td valign="middle" align="left">RF</td>
<td valign="middle" align="left">81.70</td>
<td valign="middle" align="left">0.865</td>
<td valign="middle" align="left">0.755</td>
<td valign="middle" align="left">0.813</td>
<td valign="middle" align="left">0.783</td>
<td valign="middle" align="left">0.627</td>
<td valign="middle" align="left">0.134</td>
<td valign="middle" align="left">5.63</td>
<td valign="middle" align="left">1.07</td>
</tr>
<tr>
<td valign="middle" align="left">PLSDA</td>
<td valign="middle" align="left">78.00</td>
<td valign="middle" align="left">0.840</td>
<td valign="middle" align="left">0.690</td>
<td valign="middle" align="left">0.760</td>
<td valign="middle" align="left">0.720</td>
<td valign="middle" align="left">0.549</td>
<td valign="middle" align="left">0.158</td>
<td valign="middle" align="left">4.36</td>
<td valign="middle" align="left">1.10</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T6" position="float">
<label>Table 3B</label>
<caption>
<p>Performance matrices of top genes predicted under combined stress conditions in maize.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" colspan="2" align="center">Naive Bayes</th>
<th valign="middle" colspan="2" align="center">GBM</th>
<th valign="middle" colspan="2" align="center">DT</th>
<th valign="middle" colspan="2" align="center">RF</th>
<th valign="middle" colspan="2" align="center">SVM</th>
<th valign="middle" colspan="2" align="center">K-NN</th>
<th valign="middle" colspan="2" align="center">PLSDA</th>
</tr>
<tr>
<th valign="middle" align="center">Genes</th>
<th valign="middle" align="center">AUC</th>
<th valign="middle" align="center">Genes</th>
<th valign="middle" align="center">rel.inf</th>
<th valign="middle" align="center">Genes</th>
<th valign="middle" align="center">rel.inf</th>
<th valign="middle" align="center">Genes</th>
<th valign="middle" align="center">AUC</th>
<th valign="middle" align="center">Genes</th>
<th valign="middle" align="center">RMSE</th>
<th valign="middle" align="center">Genes</th>
<th valign="middle" align="center">AUC</th>
<th valign="middle" align="center">Genes</th>
<th valign="middle" align="center">VIP-score</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="center">100</td>
<td valign="middle" align="left">Zm00001eb112930</td>
<td valign="middle" align="center">3.789</td>
<td valign="middle" align="left">Zm00001eb176940</td>
<td valign="middle" align="center">142.216</td>
<td valign="middle" align="left">Zm00001eb076550</td>
<td valign="middle" align="center">100</td>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="center">2.783</td>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="center">100</td>
<td valign="middle" align="left">Zm00001eb130760</td>
<td valign="middle" align="center">1.935</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb146690</td>
<td valign="middle" align="center">99.32</td>
<td valign="middle" align="left">Zm00001eb179190</td>
<td valign="middle" align="center">3.317</td>
<td valign="middle" align="left">Zm00001eb018700</td>
<td valign="middle" align="center">108.111</td>
<td valign="middle" align="left">Zm00001eb179190</td>
<td valign="middle" align="center">99.66</td>
<td valign="middle" align="left">Zm00001eb176680</td>
<td valign="middle" align="center">2.383</td>
<td valign="middle" align="left">Zm00001eb176940</td>
<td valign="middle" align="center">95.78</td>
<td valign="middle" align="left">Zm00001eb163120</td>
<td valign="middle" align="center">1.931</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb176940</td>
<td valign="middle" align="center">98.20</td>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="center">3.109</td>
<td valign="middle" align="left">Zm00001eb041030</td>
<td valign="middle" align="center">105.736</td>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="center">96.40</td>
<td valign="middle" align="left">Zm00001eb176940</td>
<td valign="middle" align="center">2.372</td>
<td valign="middle" align="left">Zm00001eb146690</td>
<td valign="middle" align="center">94.84</td>
<td valign="middle" align="left">Zm00001eb162400</td>
<td valign="middle" align="center">1.926</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb112930</td>
<td valign="middle" align="center">96.84</td>
<td valign="middle" align="left">Zm00001eb126900</td>
<td valign="middle" align="center">3.048</td>
<td valign="middle" align="left">Zm00001eb126900</td>
<td valign="middle" align="center">105.736</td>
<td valign="middle" align="left">Zm00001eb160470</td>
<td valign="middle" align="center">95.19</td>
<td valign="middle" align="left">Zm00001eb126900</td>
<td valign="middle" align="center">2.240</td>
<td valign="middle" align="left">Zm00001eb160470</td>
<td valign="middle" align="center">93.99</td>
<td valign="middle" align="left">Zm00001eb104530</td>
<td valign="middle" align="center">1.925</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb058820</td>
<td valign="middle" align="center">94.47</td>
<td valign="middle" align="left">Zm00001eb176680</td>
<td valign="middle" align="center">2.789</td>
<td valign="middle" align="left">Zm00001eb050500</td>
<td valign="middle" align="center">103.741</td>
<td valign="middle" align="left">Zm00001eb176940</td>
<td valign="middle" align="center">92.86</td>
<td valign="middle" align="left">Zm00001eb041030</td>
<td valign="middle" align="center">2.228</td>
<td valign="middle" align="left">Zm00001eb112930</td>
<td valign="middle" align="center">92.88</td>
<td valign="middle" align="left">Zm00001eb113530</td>
<td valign="middle" align="center">1.924</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb176680</td>
<td valign="middle" align="center">93.17</td>
<td valign="middle" align="left">Zm00001eb176940</td>
<td valign="middle" align="center">2.208</td>
<td valign="middle" align="left">Zm00001eb075230</td>
<td valign="middle" align="center">99.466</td>
<td valign="middle" align="left">Zm00001eb126900</td>
<td valign="middle" align="center">85.99</td>
<td valign="middle" align="left">Zm00001eb018700</td>
<td valign="middle" align="center">2.224</td>
<td valign="middle" align="left">Zm00001eb176680</td>
<td valign="middle" align="center">92.58</td>
<td valign="middle" align="left">Zm00001eb177670</td>
<td valign="middle" align="center">1.922</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb160470</td>
<td valign="middle" align="center">92.55</td>
<td valign="middle" align="left">Zm00001eb146690</td>
<td valign="middle" align="center">1.650</td>
<td valign="middle" align="left">Zm00001eb012040</td>
<td valign="middle" align="center">25.994</td>
<td valign="middle" align="left">Zm00001eb112930</td>
<td valign="middle" align="center">80.01</td>
<td valign="middle" align="left">Zm00001eb001220</td>
<td valign="middle" align="center">1.902</td>
<td valign="middle" align="left">Zm00001eb058820</td>
<td valign="middle" align="center">89.88</td>
<td valign="middle" align="left">Zm00001eb165700</td>
<td valign="middle" align="center">1.921</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb179190</td>
<td valign="middle" align="center">90.05</td>
<td valign="middle" align="left">Zm00001eb058820</td>
<td valign="middle" align="center">1.326</td>
<td valign="middle" align="left">Zm00001eb071400</td>
<td valign="middle" align="center">21.751</td>
<td valign="middle" align="left">Zm00001eb176680</td>
<td valign="middle" align="center">73.21</td>
<td valign="middle" align="left">Zm00001eb003440</td>
<td valign="middle" align="center">1.900</td>
<td valign="middle" align="left">Zm00001eb179190</td>
<td valign="middle" align="center">88.72</td>
<td valign="middle" align="left">Zm00001eb149960</td>
<td valign="middle" align="center">1.921</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb033200</td>
<td valign="middle" align="center">87.67</td>
<td valign="middle" align="left">Zm00001eb154060</td>
<td valign="middle" align="center">1.006</td>
<td valign="middle" align="left">Zm00001eb005840</td>
<td valign="middle" align="center">21.107</td>
<td valign="middle" align="left">Zm00001eb018700</td>
<td valign="middle" align="center">73.05</td>
<td valign="middle" align="left">Zm00001eb050470</td>
<td valign="middle" align="center">1.870</td>
<td valign="middle" align="left">Zm00001eb154060</td>
<td valign="middle" align="center">88.22</td>
<td valign="middle" align="left">Zm00001eb050770</td>
<td valign="middle" align="center">1.920</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb154060</td>
<td valign="middle" align="center">87.42</td>
<td valign="middle" align="left">Zm00001eb160470</td>
<td valign="middle" align="center">0.982</td>
<td valign="middle" align="left">Zm00001eb116880</td>
<td valign="middle" align="center">20.899</td>
<td valign="middle" align="left">Zm00001eb146690</td>
<td valign="middle" align="center">65.41</td>
<td valign="middle" align="left">Zm00001eb160470</td>
<td valign="middle" align="center">1.667</td>
<td valign="middle" align="left">Zm00001eb041030</td>
<td valign="middle" align="center">86.33</td>
<td valign="middle" align="left">Zm00001eb028190</td>
<td valign="middle" align="center">1.918</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb041030</td>
<td valign="middle" align="center">87.23</td>
<td valign="middle" align="left">Zm00001eb021720</td>
<td valign="middle" align="center">0.841</td>
<td valign="middle" align="left">Zm00001eb021010</td>
<td valign="middle" align="center">20.275</td>
<td valign="middle" align="left">Zm00001eb037690</td>
<td valign="middle" align="center">63.90</td>
<td valign="middle" align="left">Zm00001eb058820</td>
<td valign="middle" align="center">1.649</td>
<td valign="middle" align="left">Zm00001eb156130</td>
<td valign="middle" align="center">84.24</td>
<td valign="middle" align="left">Zm00001eb028490</td>
<td valign="middle" align="center">1.918</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb018180</td>
<td valign="middle" align="center">85.09</td>
<td valign="middle" align="left">Zm00001eb054980</td>
<td valign="middle" align="center">0.833</td>
<td valign="middle" align="left">Zm00001eb031210</td>
<td valign="middle" align="center">20.275</td>
<td valign="middle" align="left">Zm00001eb058820</td>
<td valign="middle" align="center">62.44</td>
<td valign="middle" align="left">Zm00001eb146690</td>
<td valign="middle" align="center">1.569</td>
<td valign="middle" align="left">Zm00001eb146500</td>
<td valign="middle" align="center">81.84</td>
<td valign="middle" align="left">Zm00001eb089070</td>
<td valign="middle" align="center">1.918</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb156130</td>
<td valign="middle" align="center">84.54</td>
<td valign="middle" align="left">Zm00001eb042770</td>
<td valign="middle" align="center">0.828</td>
<td valign="middle" align="left">Zm00001eb155430</td>
<td valign="middle" align="center">20.067</td>
<td valign="middle" align="left">Zm00001eb012040</td>
<td valign="middle" align="center">60.49</td>
<td valign="middle" align="left">Zm00001eb093590</td>
<td valign="middle" align="center">1.451</td>
<td valign="middle" align="left">Zm00001eb038010</td>
<td valign="middle" align="center">81.69</td>
<td valign="middle" align="left">Zm00001eb138650</td>
<td valign="middle" align="center">1.917</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb138530</td>
<td valign="middle" align="center">83.53</td>
<td valign="middle" align="left">Zm00001eb140230</td>
<td valign="middle" align="center">0.772</td>
<td valign="middle" align="left">Zm00001eb166600</td>
<td valign="middle" align="center">17.528</td>
<td valign="middle" align="left">Zm00001eb154060</td>
<td valign="middle" align="center">59.43</td>
<td valign="middle" align="left">Zm00001eb004630</td>
<td valign="middle" align="center">1.443</td>
<td valign="middle" align="left">Zm00001eb033200</td>
<td valign="middle" align="center">81.28</td>
<td valign="middle" align="left">Zm00001eb154420</td>
<td valign="middle" align="center">1.917</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb146500</td>
<td valign="middle" align="center">83.38</td>
<td valign="middle" align="left">Zm00001eb079740</td>
<td valign="middle" align="center">0.714</td>
<td valign="middle" align="left">Zm00001eb019280</td>
<td valign="middle" align="center">16.114</td>
<td valign="middle" align="left">Zm00001eb075230</td>
<td valign="middle" align="center">58.23</td>
<td valign="middle" align="left">Zm00001eb040610</td>
<td valign="middle" align="center">1.434</td>
<td valign="middle" align="left">Zm00001eb138530</td>
<td valign="middle" align="center">81.13</td>
<td valign="middle" align="left">Zm00001eb042970</td>
<td valign="middle" align="center">1.917</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb003440</td>
<td valign="middle" align="center">83.01</td>
<td valign="middle" align="left">Zm00001eb057750</td>
<td valign="middle" align="center">0.686</td>
<td valign="middle" align="left">Zm00001eb171940</td>
<td valign="middle" align="center">14.569</td>
<td valign="middle" align="left">Zm00001eb041030</td>
<td valign="middle" align="center">46.05</td>
<td valign="middle" align="left">Zm00001eb129480</td>
<td valign="middle" align="center">1.410</td>
<td valign="middle" align="left">Zm00001eb016200</td>
<td valign="middle" align="center">80.71</td>
<td valign="middle" align="left">Zm00001eb124300</td>
<td valign="middle" align="center">1.917</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb004630</td>
<td valign="middle" align="center">82.89</td>
<td valign="middle" align="left">Zm00001eb020980</td>
<td valign="middle" align="center">0.671</td>
<td valign="middle" align="left">Zm00001eb171930</td>
<td valign="middle" align="center">14.341</td>
<td valign="middle" align="left">Zm00001eb148130</td>
<td valign="middle" align="center">45.43</td>
<td valign="middle" align="left">Zm00001eb111990</td>
<td valign="middle" align="center">1.398</td>
<td valign="middle" align="left">Zm00001eb040610</td>
<td valign="middle" align="center">80.69</td>
<td valign="middle" align="left">Zm00001eb172930</td>
<td valign="middle" align="center">1.916</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb010960</td>
<td valign="middle" align="center">82.43</td>
<td valign="middle" align="left">Zm00001eb146390</td>
<td valign="middle" align="center">0.670</td>
<td valign="middle" align="left">Zm00001eb166670</td>
<td valign="middle" align="center">14.114</td>
<td valign="middle" align="left">Zm00001eb179280</td>
<td valign="middle" align="center">42.10</td>
<td valign="middle" align="left">Zm00001eb098220</td>
<td valign="middle" align="center">1.363</td>
<td valign="middle" align="left">Zm00001eb179280</td>
<td valign="middle" align="center">80.67</td>
<td valign="middle" align="left">Zm00001eb033410</td>
<td valign="middle" align="center">1.916</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb014630</td>
<td valign="middle" align="center">82.43</td>
<td valign="middle" align="left">Zm00001eb016200</td>
<td valign="middle" align="center">0.649</td>
<td valign="middle" align="left">Zm00001eb166610</td>
<td valign="middle" align="center">13.886</td>
<td valign="middle" align="left">Zm00001eb020260</td>
<td valign="middle" align="center">41.89</td>
<td valign="middle" align="left">Zm00001eb101050</td>
<td valign="middle" align="center">1.354</td>
<td valign="middle" align="left">Zm00001eb078640</td>
<td valign="middle" align="center">80.29</td>
<td valign="middle" align="left">Zm00001eb042710</td>
<td valign="middle" align="center">1.916</td>
</tr>
<tr>
<td valign="middle" align="left">Zm00001eb163520</td>
<td valign="middle" align="center">82.41</td>
<td valign="middle" align="left">Zm00001eb102720</td>
<td valign="middle" align="center">0.642</td>
<td valign="middle" align="left">Zm00001eb170070</td>
<td valign="middle" align="center">13.886</td>
<td valign="middle" align="left">Zm00001eb050850</td>
<td valign="middle" align="center">38.64</td>
<td valign="middle" align="left">Zm00001eb112930</td>
<td valign="middle" align="center">1.349</td>
<td valign="middle" align="left">Zm00001eb014630</td>
<td valign="middle" align="center">80.08</td>
<td valign="middle" align="left">Zm00001eb131600</td>
<td valign="middle" align="center">1.916</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>MCC, Mathews correlation coefficient; ROC, receiver operating characteristic; PRC, precision recall curve.</p>
</fn>
</table-wrap-foot>
</table-wrap>

<p>Taken together, SVM, RF, and GBM were identified as the best models in predicting top significant (a)biotic stress responsive genes with high accuracy in our study. However, <xref ref-type="bibr" rid="B48">Nazari et&#xa0;al. (2023)</xref> found KNN (82.0%) and Ensemble (85.7%) to be more accurate for predicting biotic stress tolerance genes while modeling gene expression data from microarray studies in maize. Interestingly, none of the significant genes identified by these authors matched the top genes selected by the seven models used in our study.</p>
</sec>
</sec>
<sec id="s3_3">
<title>Significant modules and potential hub genes</title>
<p>The weighted gene co-expression network analysis based on a height cut-off at 0.25 to merge the modules, detected four modules of which Turquoise and Brown modules with 438 and 14 genes, respectively were significant with r &gt;0.8 and GS (P-value&#xbe;0.01) (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;3</bold>
</xref>; <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1a</bold>
</xref>). Three significant hub genes, <italic>Zm00001eb176680, Zm00001eb176940</italic>, and <italic>Zm00001eb179190</italic> with KME&gt;0.8, were identified in the brown module (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1b</bold>
</xref>) for abiotic stress and one gene <italic>Zm00001eb150630</italic> (turquoise model) for biotic stress (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1c</bold>
</xref>) that were predicted by two or more models.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>The gene significance values (<italic>P-</italic>value=8.9e-124) across co-expression network modules <bold>(a)</bold>. Brown <bold>(b)</bold> and Turquoise <bold>(c)</bold> significant modules showing three and six potential hub genes, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1611784-g001.tif"/>
</fig>
</sec>
<sec id="s3_4">
<title>Functional involvement of the top highly significant genes</title>
<p>GO analysis of top genes representing conserved up and down-regulation under stress conditions identified 47 and 3 significant GO terms (<italic>p</italic>-value&lt;0.001; FDR &lt;0.05) for abiotic and biotic stress, respectively whereas 17 significant GO terms were identified for combined stress (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;4</bold>
</xref>). The most significantly enriched molecular function with the highest number of genes was associated with nucleotide binding for biotic stress whereas binding followed by response to stimulus were the most enriched processes under abiotic stress. On the other hand, cell communication, cellular response to alcohol, lipid, external stimuli, and abscisic acid, and hormone signaling were the two most enriched biological processes under combined stress conditions. The biological pathways involving the top-most significant genes involved are presented in <xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;5</bold>
</xref>. In biotic stress, genes involved in calcium ion binding were the most enriched whereas genes in abscisic acid activated signaling pathway, cation binding and myosin phosphate activity were the most significant in abiotic stress. Genes associated with seed nutrient storage activity, cation binding, and plant hormone signal transduction were significant under combined, biotic and abiotic stresses.</p>
<p>Of the four top-most significant genes associated with biotic stress response and predicted by the two high-performing models SVM and RF, <italic>Zm00001eb034390</italic> (GO:0005509) coding for EF-hand 1 calcium binding protein (1.23-fold), <italic>Zm00001eb088150</italic> (GO:0098754) for UDP-glucuronosyl/UDP-glucosyltransferase (0.74-fold), <italic>Zm00001eb042770</italic> (GO:0005634) for ribonuclease 3-like protein 3 (0.23) were significantly upregulated, whereas gene <italic>Zm00001eb097390</italic> (GO:0006457) encoding GrpE nucleotide exchange factor was downregulated (-0.14) under fungal infection (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;6</bold>
</xref>) (<xref ref-type="bibr" rid="B64">Shu et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B25">Kebede et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B63">Shi et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B17">Han et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B32">Lambarey et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B47">Musungu et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B22">He et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B39">Liu et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B58">Schurack et&#xa0;al., 2021</xref>). <italic>Zm00001eb088150</italic> has been shown to be involved in the detoxification of several exogenous and endogenous compounds, and it plays multiple roles in plant responses to biotic as well as abiotic stresses (<xref ref-type="bibr" rid="B14">Gharabli et&#xa0;al., 2023</xref>) providing protection against mycotoxins (<xref ref-type="bibr" rid="B74">Wetterhorn, 2018</xref>), pathogens, drought, heat, cold, and salinity (<xref ref-type="bibr" rid="B69">Van Aken, 2008</xref>; <xref ref-type="bibr" rid="B45">Meale et&#xa0;al., 2015</xref>). UDP-glucuronosyl/UDP-glucosyltransferase was found to be one of the 26 genes commonly regulated between maize, peanut, and cotton in response to <italic>Aspergillus flavus</italic>, and it was upregulated in both pericarp and seed tissues of cotton (<xref ref-type="bibr" rid="B46">Mehanathan et&#xa0;al., 2018</xref>).</p>
<p>Among the 12 most-significant genes predicted by SVM, RF, and GBM for abiotic stress, eight were upregulated under drought (<xref ref-type="bibr" rid="B24">Kakumanu et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B67">Song et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B34">Li et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B68">Thirunavukkarasu et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B65">SkZ et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B77">Yang et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B9">Danilevskaya et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B80">Zenda et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B23">Jia et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B37">Li et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B29">Kim et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B42">Maheswari et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B3">Bai et&#xa0;al., 2022</xref>), cold (<xref ref-type="bibr" rid="B66">Sobkowiak et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B44">Mao et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B15">Goering, 2017</xref>; <xref ref-type="bibr" rid="B34">Li et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B2">Avila et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B71">Waititu et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B37">Li et&#xa0;al., 2021</xref>), heat (<xref ref-type="bibr" rid="B35">Li et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B62">Shi et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B34">Li et&#xa0;al., 2017</xref> and <xref ref-type="bibr" rid="B85">Zhao et&#xa0;al., 2019</xref>), and salt (<xref ref-type="bibr" rid="B82">Zhang et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B11">Du et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B34">Li et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B8">Chen et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B84">Zhang et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B83">2022</xref>) stress of which four were downregulated under waterlogging condition (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;6</bold>
</xref>) (<xref ref-type="bibr" rid="B1">Arora et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B78">Yao, 2021</xref>). Also, eight of the genes were commonly predicted between abiotic and combined stresses. Of the four genes specifically uniquely predicted for abiotic stress, <italic>Zm00001eb012040</italic> (GO:0006470) is expressed as a PPM-type phosphatase protein and was upregulated in all but waterlogging conditions whereas <italic>Zm00001eb160470</italic>, which also codes for a protein phosphatase, was upregulated under drought, heat and salt but downregulated under cold and waterlogging conditions (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;6</bold>
</xref>). These genes are known to dephosphorylate serine/threonine in stress responsive genes in maize, thus impacting its response to multiple stresses (drought, salt) via hormone signal transductions (<xref ref-type="bibr" rid="B20">He et&#xa0;al., 2019</xref>). On the other hand, <italic>Zm00001eb021010</italic> (cysteine-rich and transmembrane domain-containing protein WIH1) was downregulated in all abiotic stresses except slight upregulation under waterlogging conditions. Several members of the cysteine-rich peptide family have been shown to respond extensively to various abiotic stresses in different plants including maize (<xref ref-type="bibr" rid="B76">Xu et&#xa0;al., 2018</xref>). <italic>Zm00001eb050500</italic> (GO:0009653), a top gene under abiotic as well as combined stress, encodes expansin, which plays an important role in stress relaxation of (arabino) xylan-cellulose networks within the cell wall (<xref ref-type="bibr" rid="B79">Yennawar et&#xa0;al., 2006</xref>). bZip-transcription factors (e.g., <italic>Zm00001eb058820</italic>) have been extensively studied for their critical roles in regulating plants response to abiotic stresses through morphological adaptations (<xref ref-type="bibr" rid="B16">Guo et&#xa0;al., 2024</xref>). In maize, a member of bZIP family positive regulated stress resistance through ABA-dependent signaling (<xref ref-type="bibr" rid="B21">He et&#xa0;al., 2024</xref>). <italic>Zm00001eb044020</italic> (a P-loop containing nucleoside triphosphate hydrolase), which was moderately upregulated under cold and waterlogging conditions, but highly upregulated in response to drought, heat and salt, was also identified to be induced by proline under low water potential (<xref ref-type="bibr" rid="B70">Verslues et&#xa0;al., 2014</xref>) and was located within the genomic region associated with heat stress (<xref ref-type="bibr" rid="B5">Bashir et&#xa0;al., 2025</xref>). Only one gene <italic>Zm00001eb038720</italic>, expressed as Ribonuclease E/G, was found commonly predicted between biotic and abiotic stress, although it was not identified as one of the top-most significant genes by the two or more high-performing accurate models. Ribonuclease E/G are chloroplastic endoribonuclease that play crucial roles in plant&#x2019;s response to biotic and abiotic stresses because of their involvement in cleavage-mediated RNA homeostasis (<xref ref-type="bibr" rid="B59">Schein et&#xa0;al., 2008</xref>). The RNase E/G enzymes influence RNA modifications in plant adaptation to stresses by controlling mRNA stability and subsequent translation of genes (<xref ref-type="bibr" rid="B7">Cai et&#xa0;al., 2025</xref>).</p>
<p>Three genes that were commonly predicted as top-most candidates between abiotic stress and combined stresses as well as identified as the hub genes in the brown module, coded for a <italic>bZIP</italic> transcription factor 68 (<italic>Zm00001eb176680</italic>), glycine-rich cell wall structural protein 2 (<italic>Zm00001eb176940</italic>), and aldehyde dehydrogenase 11 (<italic>ALDH11; Zm00001eb179190</italic>). <italic>bZIP</italic> transcription factor 68 showed a negative response to cold stress in transgenic maize plants (<xref ref-type="bibr" rid="B81">Zeng et&#xa0;al., 2021</xref>). bZIP68 interacts with mitogen-activated protein kinase 8, which is also a negative regulator of the cold-stress response. A 358-bp indel in the <italic>bZIP68</italic> promoter region increased its expression resulting in decreased cold tolerance in maize (<xref ref-type="bibr" rid="B36">Li et al., 2022</xref>). <italic>ZmbZIP4</italic> was also shown to be differentially stimulated by high salinity, drought, heat, cold, and abscisic acid treatment in maize seedlings (<xref ref-type="bibr" rid="B40">Ma et&#xa0;al., 2018</xref>). Glycine-rich cell wall structural proteins (GRCWSPs) are known to be involved in plant&#x2019;s response to abiotic stress, especially under osmotic stress because of their roles in maintaining cell wall integrity during dehydration by connecting the lignin rings to strengthen the cell wall (<xref ref-type="bibr" rid="B55">Ryser et&#xa0;al., 2004</xref>). The GRCWSPs interact with cell-wall associated kinases to initiate recognition of environmental stimuli and subsequent signal transduction (<xref ref-type="bibr" rid="B50">Park et&#xa0;al., 2001</xref>). <italic>ALDH11</italic> showed upregulation under drought, cold, heat and salt and negative regulation under waterlogging conditions. Several <italic>ALDH</italic> genes have been reported to contribute to improving salt and drought tolerance in plants (<xref ref-type="bibr" rid="B73">Wang et&#xa0;al., 2024</xref>).</p>
</sec>
<sec id="s3_5">
<title>Promoter motifs in the top significant genes</title>
<p>Promoter regions corresponding to the top-most significantly predicted genes for different stresses showed 19 different CREs. As expected of the promoters, CAAT-box, TATA-box, and Unnamed_4 motifs existed in all promoters in high numbers (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table&#xa0;7</bold>
</xref>). While there was no overall pattern in the distribution of the CREs among the promoters of the genes, the top biotic stress responsive genes, except <italic>Zm00001eb042770</italic>, had less overall total CREs. For most of the abiotic and combined stress responsive genes, the number of antioxidant responsive element (ARE) and ABRE (abscisic acid responsive element) were higher than the biotic stress responsive genes. The number of CREs were higher for two genes <italic>Zm00001eb176940</italic> (168) and <italic>Zm00001eb179190</italic> (169) predicted common between abiotic and combined stresses than the other genes. The ABRE and G-Box were found in more abundance in genes <italic>Zm00001eb012040</italic>, <italic>Zm00001eb058820</italic>, <italic>Zm00001eb112930</italic>, <italic>Zm00001eb018700</italic>, <italic>Zm00001eb126900</italic>, <italic>Zm00001eb018700</italic>, and <italic>Zm00001eb126900</italic> that were identified as top-most significant genes for abiotic and combined stresses.</p>
</sec>
</sec>
<sec id="s4" sec-type="conclusions">
<title>Conclusion</title>
<p>The integration of a large volume of gene expression data from several RNA-seq studies with machine learning methods increased the generalizability and statistical power and allowed us to analyze the stress responses of the genes to identify a set of top-most genes with significant associations with (a)biotic stress in maize. The GO and KEGG pathway enrichment analysis of top genes provided clues to the mechanisms underlying maize&#x2019;s response to both biotic and abiotic stress conditions. Furthermore, the randomization procedure used in WGCNA method led to the identification of the hub genes validating their gene connectivity and possible interaction with other genes. Some of the genes identified in this study through ML were also found related to <italic>Aspergillus flavus</italic> resistance in maize in previous studies. Further functional validation of the roles of the 19 unique top-ranked genes including hub genes, predicted by the high-performing models, will lead to their utilization in developing multiple stress-resistant maize varieties.</p>
</sec>
</body>
<back>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding author/s.</p>
</sec>
<sec id="s6" sec-type="author-contributions">
<title>Author contributions</title>
<p>AP: Data curation, Formal Analysis, Software, Visualization, Writing &#x2013; original draft. PG: Data curation, Formal Analysis, Methodology, Writing &#x2013; review &amp; editing. KR: Funding acquisition, Visualization, Writing &#x2013; review &amp; editing. NB: Conceptualization, Funding acquisition, Investigation, Methodology, Supervision, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s7" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. The research was funded by the USDA-ARS (NACA Agreement # 58-6054-0-010) and USDA-NIFA Hatch grant (Accession # 7006617). The manuscript was accepted for publication by the Louisiana Agricultural Experiment Station as MS# 2025-306-40333.</p>
</sec>
<sec id="s8" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>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.</p>
<p>The handling editor GS declared a past co-authorship with the author AP.</p>
</sec>
<sec id="s9" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>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.</p>
</sec>
<sec id="s11" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fpls.2025.1611784/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpls.2025.1611784/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.xlsx" id="ST1" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
<supplementary-material xlink:href="Table2.xlsx" id="ST2" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
<supplementary-material xlink:href="Table3.xlsx" id="ST3" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
<supplementary-material xlink:href="Table4.xlsx" id="ST4" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
<supplementary-material xlink:href="Table5.xlsx" id="ST5" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
<supplementary-material xlink:href="Table6.xlsx" id="ST6" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
<supplementary-material xlink:href="Table7.xlsx" id="ST7" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
</sec>
<fn-group>
<title>Abbreviations</title>
<fn fn-type="abbr" id="abbrev1">
<p>ML, machine learning; AI, artificial intelligence; SVM, support vector machine; PLSDA, partial least squares discriminant analysis; KNN, k-nearest neighbors; GBM, gradient boosting machine; RF, random forest; NB, na&#xef;ve bayes; DT, decision tree; BE, batch effect; DEGs, differentially expressed genes; VarImp, Variable importance; REF, recursive feature elimination; ROC, receiver operating characteristic; AUC, area under the curve; MCC, Mathews correlation coefficient; VIP, variable importance in projection; WGCNA, weighted gene co-expression network analysis; ME, module eigengene; GS, gene significance; CREs, cis-regulatory elements.</p>
</fn>
</fn-group>
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