Document Zbl 1275.92017

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Math. Methods Med.</a> <a href="/?q=in%3A312972" title="Articles in this Issue">2013, Article ID 530696, 6 p. (2013)</a>. </div> <div class="abstract">Summary: Knowledge about the protein composition of phage virions is a key step to understand the functions of phage virion proteins. However, the experimental method to identify virion proteins is time consuming and expensive. Thus, it is highly desirable to develop novel computational methods for phage virion protein identification. In this study, a naïve Bayes based method was proposed to predict phage virion proteins using amino acid composition and dipeptide composition. In order to remove redundant information, a novel feature selection technique was employed to single out optimized features. In the jackknife test, the proposed method achieved an accuracy of 79.15% for phage virion and nonvirion proteins classification, which are superior to that of other state-of-the-art classifiers. These results indicate that the proposed method could be as an effective and promising high-throughput method in phage proteomics research.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6231255">Cited in <strong>7</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A92C40" title="MSC2020">92C40</a> </td> <td class="space"> Biochemistry, molecular biology </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62H30" title="MSC2020">62H30</a> </td> <td class="space"> Classification and discrimination; cluster analysis (statistical aspects) </td> </tr></table> </div> <div class="software"> <h3>Software:</h3><a href="/software/22453">iNuc-PhysChem</a>; <a href="/software/22402">propy</a>; <a href="/software/25194">MemHyb</a>; <a href="/software/22404">PseAAC-Builder</a>; <a href="/software/16887">Cd-hit</a>; <a href="/software/9126">Cell-PLoc</a>; <a href="/software/22417">iLoc-Virus</a>; <a href="/software/22434">iLoc-Euk</a>; <a href="/software/22433">iLoc-Hum</a>; <a href="/software/22437">iRSpot-PseDNC</a>; <a href="/software/21320">UniProt</a>; <a href="/software/22427">iLoc-Animal</a>; <a href="/software/22446">iSNO-PseAAC</a>; <a href="/software/22416">iAMP-2L</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1275.92017" data-ciurl="/ci/06231255" data-biburl="/bibtex/06231255.bib" data-amsurl="/amsrefs/06231255.bib" data-xmlurl="/xml/06231255.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06231255.pdf" title="Zbl 1275.92017 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1155/2013/530696" aria-label="DOI for “Naïve Bayes classifier with feature selection to identify phage virion proteins”" title="10.1155/2013/530696">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">R. Lavigne, P. J. Ceyssens, and J. Robben, “Phage proteomics: applications of mass spectrometry,” Methods in Molecular Biology, vol. 502, pp. 239-251, 2009.</td> </tr><tr> <td>[2]</td> <td class="space">M. A. Hall, Correlation-Based Feature Selection for Machine Learning: Data Mining, Inference and Prediction, Springer, Berlin, Germany, 2008.</td> </tr><tr> <td>[3]</td> <td class="space">K. C. Chou, “Some remarks on protein attribute prediction and pseudo amino acid composition,” Journal of Theoretical Biology, vol. 273, no. 1, pp. 236-247, 2011. · <a href="/1405.92212" class="nowrap">Zbl 1405.92212</a> · <a href="https://doi.org/10.1016/j.jtbi.2010.12.024" class="nowrap">doi:10.1016/j.jtbi.2010.12.024</a></td> </tr><tr> <td>[4]</td> <td class="space">K. C. Chou, “Some remarks on predicting multi-label attributes in molecular biosystems,” Molecular Biosystems, 2013. · <a href="https://doi.org/10.1039/C1033MB25555G" class="nowrap">doi:10.1039/C1033MB25555G</a></td> </tr><tr> <td>[5]</td> <td class="space">W. Z. Lin, J. A. Fang, X. Xiao, and K. C. Chou, “iLoc-Animal: a multi-label learning classifier for predicting subcellular localization of animal proteins,” Molecular BioSystems, vol. 9, no. 9, pp. 634-644, 2013. · <a href="https://doi.org/10.1039/c3mb25466f" class="nowrap">doi:10.1039/c3mb25466f</a></td> </tr><tr> <td>[6]</td> <td class="space">X. Xiao X, P. Wang, W. Z. Lin, J. H. Jia, and K. C. Chou, “iAMP-2L: a two-level multi-label classifier for identifying antimicrobial peptides and their functional types,” Analytical Biochemistry, vol. 436, no. 2, pp. 168-177, 2013.</td> </tr><tr> <td>[7]</td> <td class="space">W. Chen, P. M. Feng, H. Lin, and K. C. Chou, “iRSpot-PseDNC: identify recombination spots with pseudo dinucleotide composition,” Nucleic Acids Research, vol. 41, no. 6, article e68, 2013.</td> </tr><tr> <td>[8]</td> <td class="space">K. C. Chou, Z. C. Wu, and X. Xiao, “iLoc-Hum: using accumulation-label scale to predict subcellular locations of human proteins with both single and multiple sites,” Molecular Biosystems, vol. 8, no. 2, pp. 629-641, 2012.</td> </tr><tr> <td>[9]</td> <td class="space">W. Chen, H. Lin, P. M. Feng, C. Ding, Y.-C. Zuo, and K.-C. Chou, “iNuc-PhysChem: a sequence-based predictor for identifying nucleosomes via physicochemical properties,” PLoS ONE, vol. 7, no. 10, Article ID e47843, 2012.</td> </tr><tr> <td>[10]</td> <td class="space">Y. Xu, J. Ding, L. Y. Wu, and K.-C. Chou, “iSNO-PseAAC: predict cysteine S-nitrosylation sites in proteins by incorporating position specific amino acid propensity into pseudo amino acid composition,” PLoS ONE, vol. 8, no. 2, Article ID e55844, 2013.</td> </tr><tr> <td>[11]</td> <td class="space">UniProt Consortium, “Reorganizing the protein space at the Universal Protein Resource (UniProt),” Nucleic Acids Research, vol. 40, pp. D71-D75, 2012.</td> </tr><tr> <td>[12]</td> <td class="space">W. Li and A. Godzik, “Cd-hit: a fast program for clustering and comparing large sets of protein or nucleotide sequences,” Bioinformatics, vol. 22, no. 13, pp. 1658-1659, 2006. · <a href="https://doi.org/10.1093/bioinformatics/btl158" class="nowrap">doi:10.1093/bioinformatics/btl158</a></td> </tr><tr> <td>[13]</td> <td class="space">K. C. Chou, “Prediction of protein cellular attributes using pseudo-amino acid composition,” Proteins, vol. 43, no. 3, pp. 246-255, 2001. · <a href="https://doi.org/10.1002/prot.1035" class="nowrap">doi:10.1002/prot.1035</a></td> </tr><tr> <td>[14]</td> <td class="space">K. C. Chou, “Using amphiphilic pseudo amino acid composition to predict enzyme subfamily classes,” Bioinformatics, vol. 21, no. 1, pp. 10-19, 2005. · <a href="https://doi.org/10.1093/bioinformatics/bth466" class="nowrap">doi:10.1093/bioinformatics/bth466</a></td> </tr><tr> <td>[15]</td> <td class="space">L. Nanni, A. Lumini, D. Gupta, and A. Garg, “Identifying bacterial virulent proteins by fusing a set of classifiers based on variants of Chou’s pseudo amino acid composition and on evolutionary information,” IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 9, no. 2, pp. 467-475, 2012. · <a href="https://doi.org/10.1109/TCBB.2011.117" class="nowrap">doi:10.1109/TCBB.2011.117</a></td> </tr><tr> <td>[16]</td> <td class="space">D. Zou, Z. He, J. He, and Y. Xia, “Supersecondary structure prediction using Chou’s pseudo amino acid composition,” Journal of Computational Chemistry, vol. 32, no. 2, pp. 271-278, 2011. · <a href="https://doi.org/10.1002/jcc.21616" class="nowrap">doi:10.1002/jcc.21616</a></td> </tr><tr> <td>[17]</td> <td class="space">S. W. Zhang, Y. L. Zhang, H. F. Yang, C. H. Zhao, and Q. Pan, “Using the concept of Chou’s pseudo amino acid composition to predict protein subcellular localization: an approach by incorporating evolutionary information and von Neumann entropies,” Amino Acids, vol. 34, no. 4, pp. 565-572, 2008. · <a href="https://doi.org/10.1007/s00726-007-0010-9" class="nowrap">doi:10.1007/s00726-007-0010-9</a></td> </tr><tr> <td>[18]</td> <td class="space">K. K. Kandaswamy, G. Pugalenthi, S. Möller et al., “Prediction of apoptosis protein locations with genetic algorithms and support vector machines through a new mode of pseudo amino acid composition,” Protein and Peptide Letters, vol. 17, no. 12, pp. 1473-1479, 2010.</td> </tr><tr> <td>[19]</td> <td class="space">S. Mei, “Predicting plant protein subcellular multi-localization by Chou’s PseAAC formulation based multi-label homolog knowledge transfer learning,” Journal of Theoretical Biology, vol. 310, pp. 80-87, 2012. · <a href="/1337.92065" class="nowrap">Zbl 1337.92065</a> · <a href="https://doi.org/10.1016/j.jtbi.2012.06.028" class="nowrap">doi:10.1016/j.jtbi.2012.06.028</a></td> </tr><tr> <td>[20]</td> <td class="space">Y. K. Chen and K. B. Li, “Predicting membrane protein types by incorporating protein topology, domains, signal peptides, and physicochemical properties into the general form of Chou’s pseudo amino acid composition,” Journal of Theoretical Biology, vol. 318, pp. 1-12, 2013.</td> </tr><tr> <td>[21]</td> <td class="space">M. Hayat and A. Khan, “Discriminating outer membrane proteins with fuzzy K-nearest neighbor algorithms based on the general form of Chou’s PseAAC,” Protein and Peptide Letters, vol. 19, no. 4, pp. 411-421, 2012.</td> </tr><tr> <td>[22]</td> <td class="space">M. Khosravian, F. K. Faramarzi, M. M. Beigi, M. Behbahani, and H. Mohabatkar, “Predicting antibacterial peptides by the concept of Chou’s pseudo-amino acid composition and machine learning methods,” Protein and Peptide Letters, vol. 20, no. 2, pp. 180-186, 2012.</td> </tr><tr> <td>[23]</td> <td class="space">H. Mohabatkar, M. M. Beigi, K. Abdolahi, and S. Mohsenzadeh, “Prediction of allergenic proteins by means of the concept of Chou’s pseudo amino acid composition and a machine learning approach,” Medicinal Chemistry, vol. 9, no. 1, pp. 133-137, 2013.</td> </tr><tr> <td>[24]</td> <td class="space">M. M. Beigi, M. Behjati, and H. Mohabatkar, “Prediction of metalloproteinase family based on the concept of Chou’s pseudo amino acid composition using a machine learning approach,” Journal of Structural and Functional Genomics, vol. 12, no. 4, pp. 191-197, 2011.</td> </tr><tr> <td>[25]</td> <td class="space">S. S. Sahu and G. Panda, “A novel feature representation method based on Chou’s pseudo amino acid composition for protein structural class prediction,” Computational Biology and Chemistry, vol. 34, no. 5-6, pp. 320-327, 2010. · <a href="/1403.92221" class="nowrap">Zbl 1403.92221</a> · <a href="https://doi.org/10.1016/j.compbiolchem.2010.09.002" class="nowrap">doi:10.1016/j.compbiolchem.2010.09.002</a></td> </tr><tr> <td>[26]</td> <td class="space">R. Zia-Ur and A. Khan, “Identifying GPCRs and their types with Chou’s pseudo amino acid composition: an approach from multi-scale energy representation and position specific scoring matrix,” Protein and Peptide Letters, vol. 19, no. 8, pp. 890-903, 2012.</td> </tr><tr> <td>[27]</td> <td class="space">X. Y. Sun, S. P. Shi, J. D. Qiu, S. B. Suo, S. Y. Huang, and R. P. Liang, “Identifying protein quaternary structural attributes by incorporating physicochemical properties into the general form of Chou’s PseAAC via discrete wavelet transform,” Molecular BioSystems, vol. 8, no. 12, pp. 3178-3184, 2012.</td> </tr><tr> <td>[28]</td> <td class="space">L. Nanni and A. Lumini, “Genetic programming for creating Chou’s pseudo amino acid based features for submitochondria localization,” Amino Acids, vol. 34, no. 4, pp. 653-660, 2008. · <a href="https://doi.org/10.1007/s00726-007-0018-1" class="nowrap">doi:10.1007/s00726-007-0018-1</a></td> </tr><tr> <td>[29]</td> <td class="space">M. Esmaeili, H. Mohabatkar, and S. Mohsenzadeh, “Using the concept of Chou’s pseudo amino acid composition for risk type prediction of human papillomaviruses,” Journal of Theoretical Biology, vol. 263, no. 2, pp. 203-209, 2010. · <a href="https://doi.org/10.1016/j.jtbi.2009.11.016" class="nowrap">doi:10.1016/j.jtbi.2009.11.016</a></td> </tr><tr> <td>[30]</td> <td class="space">H. Mohabatkar, “Prediction of cyclin proteins using Chou’s pseudo amino acid composition,” Protein and Peptide Letters, vol. 17, no. 10, pp. 1207-1214, 2010. · <a href="https://doi.org/10.2174/092986610792231564" class="nowrap">doi:10.2174/092986610792231564</a></td> </tr><tr> <td>[31]</td> <td class="space">H. Mohabatkar, M. Mohammad Beigi, and A. Esmaeili, “Prediction of GABAA receptor proteins using the concept of Chou’s pseudo-amino acid composition and support vector machine,” Journal of Theoretical Biology, vol. 281, no. 1, pp. 18-23, 2011. · <a href="/1397.92215" class="nowrap">Zbl 1397.92215</a> · <a href="https://doi.org/10.1016/j.jtbi.2011.04.017" class="nowrap">doi:10.1016/j.jtbi.2011.04.017</a></td> </tr><tr> <td>[32]</td> <td class="space">D. N. Georgiou, T. E. Karakasidis, J. J. Nieto, and A. Torres, “Use of fuzzy clustering technique and matrices to classify amino acids and its impact to Chou’s pseudo amino acid composition,” Journal of Theoretical Biology, vol. 257, no. 1, pp. 17-26, 2009. · <a href="/1400.92393" class="nowrap">Zbl 1400.92393</a> · <a href="https://doi.org/10.1016/j.jtbi.2008.11.003" class="nowrap">doi:10.1016/j.jtbi.2008.11.003</a></td> </tr><tr> <td>[33]</td> <td class="space">B. Q. Li, T. Huang, L. Liu, Y. D. Cai, and K. C. Chou, “Identification of colorectal cancer related genes with mRMR and shortest path in protein-protein interaction network,” PLoS ONE, vol. 7, no. 4, Article ID e33393, 2012.</td> </tr><tr> <td>[34]</td> <td class="space">T. Huang, J. Wang, Y. D. Cai, H. Yu, and K. C. Chou, “Hepatitis C virus network based classification of hepatocellular cirrhosis and carcinoma,” PLoS ONE, vol. 7, no. 4, Article ID e34460, 2012.</td> </tr><tr> <td>[35]</td> <td class="space">P. Du, X. Wang, C. Xu, and Y. Gao, “PseAAC-Builder: a cross-platform stand-alone program for generating various special Chou’s pseudo-amino acid compositions,” Analytical Biochemistry, vol. 425, no. 2, pp. 117-119, 2012.</td> </tr><tr> <td>[36]</td> <td class="space">D. S. Cao, Q. S. Xu, and Y. Z. Liang, “Propy: a tool to generate various modes of Chou’s PseAAC,” Bioinformatics, vol. 29, no. 7, pp. 960-962, 2013.</td> </tr><tr> <td>[37]</td> <td class="space">L. Montanucci, P. Fariselli, P. L. Martelli, and R. Casadio, “Predicting protein thermostability changes from sequence upon multiple mutations,” Bioinformatics, vol. 24, no. 13, pp. i190-i195, 2008. · <a href="https://doi.org/10.1093/bioinformatics/btn166" class="nowrap">doi:10.1093/bioinformatics/btn166</a></td> </tr><tr> <td>[38]</td> <td class="space">M. M. Gromiha and M. X. Suresh, “Discrimination of mesophilic and thermophilic proteins using machine learning algorithms,” Proteins, vol. 70, no. 4, pp. 1274-1279, 2008. · <a href="https://doi.org/10.1002/prot.21616" class="nowrap">doi:10.1002/prot.21616</a></td> </tr><tr> <td>[39]</td> <td class="space">L. C. Wu, J. X. Lee, H. D. Huang, B. J. Liu, and J. T. Horng, “An expert system to predict protein thermostability using decision tree,” Expert Systems with Applications, vol. 36, no. 5, pp. 9007-9014, 2009. · <a href="https://doi.org/10.1016/j.eswa.2008.12.020" class="nowrap">doi:10.1016/j.eswa.2008.12.020</a></td> </tr><tr> <td>[40]</td> <td class="space">H. Lin and W. Chen, “Prediction of thermophilic proteins using feature selection technique,” Journal of Microbiological Methods, vol. 84, no. 1, pp. 67-70, 2011. · <a href="https://doi.org/10.1016/j.mimet.2010.10.013" class="nowrap">doi:10.1016/j.mimet.2010.10.013</a></td> </tr><tr> <td>[41]</td> <td class="space">W. Chen and H. Lin, “Identification of voltage-gated potassium channel subfamilies from sequence information using support vector machine,” Computers in Biology and Medicine, vol. 42, no. 4, pp. 504-507, 2012.</td> </tr><tr> <td>[42]</td> <td class="space">T. M. Mitchell, Machine Learning, McGraw-Hill, New York, NY, USA, 1997. · <a href="/0913.68167" class="nowrap">Zbl 0913.68167</a></td> </tr><tr> <td>[43]</td> <td class="space">J. Cao, R. Panetta, S. Yue, A. Steyaert, M. Young-Bellido, and S. Ahmad, “A naive Bayes model to predict coupling between seven transmembrane domain receptors and G-proteins,” Bioinformatics, vol. 19, no. 2, pp. 234-240, 2003. · <a href="https://doi.org/10.1093/bioinformatics/19.2.234" class="nowrap">doi:10.1093/bioinformatics/19.2.234</a></td> </tr><tr> <td>[44]</td> <td class="space">M. Yousef, S. Jung, A. V. Kossenkov, L. C. Showe, and M. K. Showe, “Naïve Bayes for microRNA target predictions-machine learning for microRNA targets,” Bioinformatics, vol. 23, no. 22, pp. 2987-2992, 2007. · <a href="https://doi.org/10.1093/bioinformatics/btm484" class="nowrap">doi:10.1093/bioinformatics/btm484</a></td> </tr><tr> <td>[45]</td> <td class="space">Y. Murakami and K. Mizuguchi, “Applying the Naïve Bayes classifier with kernel density estimation to the prediction of protein-protein interaction sites,” Bioinformatics, vol. 26, no. 15, pp. 1841-1848, 2010. · <a href="https://doi.org/10.1093/bioinformatics/btq302" class="nowrap">doi:10.1093/bioinformatics/btq302</a></td> </tr><tr> <td>[46]</td> <td class="space">F. Sambo, E. Trifoglio, B. Di Camillo, G. M. Toffolo, and C. Cobelli, “Bag of Naïve Bayes: biomarker selection and classification from genome-wide SNP data,” BMC Bioinformatics, vol. 13, supplement 14, article S2, 2012.</td> </tr><tr> <td>[47]</td> <td class="space">K. C. Chou, “A novel approach to predicting protein structural classes in a (20-1)-D amino acid composition space,” Proteins, vol. 21, no. 4, pp. 319-344, 1995. · <a href="https://doi.org/10.1002/prot.340210406" class="nowrap">doi:10.1002/prot.340210406</a></td> </tr><tr> <td>[48]</td> <td class="space">G. P. Zhou, “An intriguing controversy over protein structural class prediction,” Journal of Protein Chemistry, vol. 17, no. 8, pp. 729-738, 1998. · <a href="https://doi.org/10.1023/A:1020713915365" class="nowrap">doi:10.1023/A:1020713915365</a></td> </tr><tr> <td>[49]</td> <td class="space">K. C. Chou and D. W. Elrod, “Using discriminant function for prediction of subcellular location of prokaryotic proteins,” Biochemical and Biophysical Research Communications, vol. 252, no. 1, pp. 63-68, 1998. · <a href="https://doi.org/10.1006/bbrc.1998.9498" class="nowrap">doi:10.1006/bbrc.1998.9498</a></td> </tr><tr> <td>[50]</td> <td class="space">G. P. Zhou and N. Assa-Munt, “Some insights into protein structural class prediction,” Proteins, vol. 44, no. 1, pp. 57-59, 2001. · <a href="https://doi.org/10.1002/prot.1071" class="nowrap">doi:10.1002/prot.1071</a></td> </tr><tr> <td>[51]</td> <td class="space">Y. X. Pan, Z. Z. Zhang, Z. M. Guo, G. Y. Feng, Z. D. Huang, and L. He, “Application of pseudo amino acid composition for predicting protein subcellular location: stochastic signal processing approach,” Journal of Protein Chemistry, vol. 22, no. 4, pp. 395-402, 2003. · <a href="https://doi.org/10.1023/A:1025350409648" class="nowrap">doi:10.1023/A:1025350409648</a></td> </tr><tr> <td>[52]</td> <td class="space">G. P. Zhou and K. Doctor, “Subcellular location prediction of apoptosis proteins,” Proteins, vol. 50, no. 1, pp. 44-48, 2003. · <a href="https://doi.org/10.1002/prot.10251" class="nowrap">doi:10.1002/prot.10251</a></td> </tr><tr> <td>[53]</td> <td class="space">K. C. Chou and H. B. Shen, “Cell-PLoc 2.0: an improved package of web-servers for predicting subcellular localization of proteins in various organisms,” Natural Science, vol. 2, no. 10, pp. 1090-1103, 2010.</td> </tr><tr> <td>[54]</td> <td class="space">M. Hayat and A. Khan, “MemHyb: predicting membrane protein types by hybridizing SAAC and PSSM,” Journal of Theoretical Biology, vol. 292, pp. 93-102, 2012. · <a href="/1307.92308" class="nowrap">Zbl 1307.92308</a> · <a href="https://doi.org/10.1016/j.jtbi.2011.09.026" class="nowrap">doi:10.1016/j.jtbi.2011.09.026</a></td> </tr><tr> <td>[55]</td> <td class="space">X. Xiao, Z. C. Wu, and K. C. Chou, “iLoc-Virus: a multi-label learning classifier for identifying the subcellular localization of virus proteins with both single and multiple sites,” Journal of Theoretical Biology, vol. 284, no. 1, pp. 42-51, 2011. · <a href="/1397.92238" class="nowrap">Zbl 1397.92238</a> · <a href="https://doi.org/10.1016/j.jtbi.2011.06.005" class="nowrap">doi:10.1016/j.jtbi.2011.06.005</a></td> </tr><tr> <td>[56]</td> <td class="space">K. C. Chou, Z. C. Wu, and X. Xiao, “iLoc-Euk: a multi-label classifier for predicting the subcellular localization of singleplex and multiplex eukaryotic proteins,” PLoS ONE, vol. 6, no. 3, Article ID e18258, 2011. · <a href="https://doi.org/10.1371/journal.pone.0018258" class="nowrap">doi:10.1371/journal.pone.0018258</a></td> </tr><tr> <td>[57]</td> <td class="space">H. Witten and E. Frank, Data Mining: Practical Machine Learning Tools and Techniques, Morgan Kaufmann, San Francisco, Calif, USA, 2005. · <a href="/1076.68555" class="nowrap">Zbl 1076.68555</a></td> </tr><tr> <td>[58]</td> <td class="space">K. C. Chou and H. B. Shen, “Review: recent advances in developing web-servers for predicting protein attributes,” Natural Science, vol. 2, pp. 63-92, 2009.</td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. 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