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Li J, Li J, Hao H, Lu F, Wang J, Ma M, Jia B, Zhuo M, Wang J, Chi Y, Zhai X, Wang Y, Wu M, An T, Zhao J, Yang F, Wang Z. Secreted proteins MDK, WFDC2, and CXCL14 as candidate biomarkers for early diagnosis of lung adenocarcinoma. BMC Cancer 2023; 23:110. [PMID: 36721112 PMCID: PMC9887767 DOI: 10.1186/s12885-023-10523-z] [Citation(s) in RCA: 4] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/05/2022] [Accepted: 01/09/2023] [Indexed: 02/01/2023] Open
Abstract
BACKGROUND Early diagnosis of lung adenocarcinoma (LUAD), one of the most common types of lung cancer, is very important to improve the prognosis of patients. The current methods can't meet the requirements of early diagnosis. There is a pressing need to identify novel diagnostic biomarkers. Secretory proteins are the richest source for biomarker research. This study aimed to identify candidate secretory protein biomarkers for early diagnosis of LUAD by integrated bioinformatics analysis and clinical validation. METHODS Differentially expressed genes (DEGs) of GSE31210, gene expression data of early stage of LUAD, were analyzed by GEO2R. Upregulated DEGs predicted to encode secreted proteins were obtained by taking the intersection of the DEGs list with the list of genes encoding secreted proteins predicted by the majority decision-based method (MDSEC). The expressions of the identified secreted proteins in the lung tissues of early-stage LUAD patients were further compared with the healthy control group in mRNA and protein levels by using the UALCAN database (TCGA and CPTAC). The selected proteins expressed in plasma were further validated by using Luminex technology. The diagnostic value of the screened proteins was evaluated by receiver operating characteristic (ROC) analysis. Cell counting kit-8 assay was carried out to investigate the proliferative effects of these screened proteins. RESULTS A total of 2183 DEGs, including 1240 downregulated genes and 943 upregulated genes, were identified in the GSE31210. Of the upregulated genes, 199 genes were predicted to encode secreted proteins. After analysis using the UALCAN database, 16 molecules were selected for further clinical validation. Plasma concentrations of three proteins, Midkine (MDK), WAP four-disulfide core domain 2 (WFDC2), and C-X-C motif chemokine ligand 14 (CXCL14), were significantly higher in LUAD patients than in healthy donors. The area under the curve values was 0.944, 0.881, and 0.809 for MDK, WFDC2, and CXCL14, 0.962 when combined them. Overexpression of the three proteins enhanced the proliferation activity of A549 cells. CONCLUSIONS MDK, WFDC2, and CXCL14 were identified as candidate diagnostic biomarkers for early-stage LUAD and might also play vital roles in tumorigenesis.
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Affiliation(s)
- Junfeng Li
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Jianjie Li
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Huifeng Hao
- grid.412474.00000 0001 0027 0586Department of Integration of Chinese and Western Medicine, Key Laboratory of Carcinogenesis and Translational Research (Ministry of Education, Beijing), Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Fangliang Lu
- grid.412474.00000 0001 0027 0586Department of Thoracic Surgery II, Key Laboratory of Carcinogenesis and Translational Research (Ministry of Education, Beijing), Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Jia Wang
- grid.412474.00000 0001 0027 0586Department of Thoracic Surgery II, Key Laboratory of Carcinogenesis and Translational Research (Ministry of Education, Beijing), Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Menglei Ma
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Bo Jia
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Minglei Zhuo
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Jingjing Wang
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Yujia Chi
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Xiaoyu Zhai
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Yuyan Wang
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Meina Wu
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Tongtong An
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Jun Zhao
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
| | - Fan Yang
- grid.411634.50000 0004 0632 4559Department of Thoracic Surgery, Peking University People’s Hospital, Beijing, 100044 China
| | - Ziping Wang
- grid.412474.00000 0001 0027 0586Departments of Thoracic Medical Oncology, Key Laboratory of Carcinogenesis and Translational Research, Peking University Cancer Hospital & Institute, Beijing, 100142 China
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Sheikh K, Sayeed S, Asif A, Siddiqui MF, Rafeeq MM, Sahu A, Ahmad S. Consequential Innovations in Nature-Inspired Intelligent Computing Techniques for Biomarkers and Potential Therapeutics Identification. NATURE-INSPIRED INTELLIGENT COMPUTING TECHNIQUES IN BIOINFORMATICS 2023:247-274. [DOI: 10.1007/978-981-19-6379-7_13] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 03/24/2024]
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Cancer secretome: finding out hidden messages in extracellular secretions. Clin Transl Oncol 2022; 25:1145-1155. [PMID: 36525229 DOI: 10.1007/s12094-022-03027-y] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/29/2022] [Accepted: 11/23/2022] [Indexed: 12/23/2022]
Abstract
Secretome analysis has gained popularity recently as a very well-designed proteomic approach that is being used to study various interactions and their effects on cellular activity. This analysis is especially helpful while studying the effects of the cells on their microenvironment, paracrine and autocrine processes, their therapeutic purposes, and as a new diagnostic perspective. Cancer is a condition rather than a specific type of disease and is still yet to be fully understood. Cancer secretome is a fairly new concept that is being implemented to examine the interactions taking place in the tumor microenvironment and can help to understand the phenomena like induction of tumorigenesis, stimulation of immune cells, etc. The secretome analysis helps to gain a different perspective on the existing knowledge on cancer and its effects. The recent advances in secretome studies are directed toward secreted components as drug targets, biomarkers, and companion tools for diagnostic and prognostic purposes in cancer. This review aims to find the interactors in different types of cancer and understand the existing unstructured secretome data and its application in prognosis, diagnosis, and in biomarker study.
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Zhang Y, Wu H, Gao J, Zhang Y, Yao R, Zhu Y. Effective method for detecting error causes from incoherent biological ontologies. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2022; 19:7388-7409. [PMID: 35730312 DOI: 10.3934/mbe.2022349] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
Computing the minimal axiom sets (MinAs) for an unsatisfiable class is an important task in incoherent ontology debugging. Ddebugging ontologies based on patterns (DOBP) is a pattern-based debugging method that uses a set of heuristic strategies based on four patterns. Each pattern is represented as a directed graph and the depth-first search strategy is used to find the axiom paths relevant to the MinAs of the unsatisfiable class. However, DOBP is inefficient when a debugging large incoherent ontology with a lot of unsatisfiable classes. To solve the problem, we first extract a module responsible for the erroneous classes and then compute the MinAs based on the extracted module. The basic idea of module extraction is that rather than computing MinAs based on the original ontology O, they are computed based on a module M extracted from O. M provides a smaller search space than O because M is considerably smaller than O. The experimental results on biological ontologies show that the module extracted using the Module-DOBP method is smaller than the original ontology. Lastly, our proposed approach optimized with the module extraction algorithm is more efficient than the DOBP method both for large-scale ontologies and numerous unsatisfiable classes.
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Affiliation(s)
- Yu Zhang
- College of Information Engineering, Huanghuai University, Zhumadian 463000, China
- Henan Key Laboratory of Smart Lighting, Zhumadian 463000, China
- Henan Joint International Research Laboratory of Behavior Optimization Control for Smart Robots, Zhumadian 463000, China
| | - Haitao Wu
- College of Information Engineering, Huanghuai University, Zhumadian 463000, China
- Henan Key Laboratory of Smart Lighting, Zhumadian 463000, China
| | - Jinfeng Gao
- College of Information Engineering, Huanghuai University, Zhumadian 463000, China
- Henan Key Laboratory of Smart Lighting, Zhumadian 463000, China
| | - Yongtao Zhang
- Department of Information and Electronic Engineering, Shangqiu Institute of Technology, Shangqiu 476000, China
| | - Ruxian Yao
- College of Information Engineering, Huanghuai University, Zhumadian 463000, China
- Henan Key Laboratory of Smart Lighting, Zhumadian 463000, China
| | - Yuxiang Zhu
- College of Information Engineering, Huanghuai University, Zhumadian 463000, China
- Henan Key Laboratory of Smart Lighting, Zhumadian 463000, China
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A Comprehensive Review of Computation-Based Metal-Binding Prediction Approaches at the Residue Level. BIOMED RESEARCH INTERNATIONAL 2022; 2022:8965712. [PMID: 35402609 PMCID: PMC8989566 DOI: 10.1155/2022/8965712] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/02/2022] [Accepted: 03/04/2022] [Indexed: 12/29/2022]
Abstract
Clear evidence has shown that metal ions strongly connect and delicately tune the dynamic homeostasis in living bodies. They have been proved to be associated with protein structure, stability, regulation, and function. Even small changes in the concentration of metal ions can shift their effects from natural beneficial functions to harmful. This leads to degenerative diseases, malignant tumors, and cancers. Accurate characterizations and predictions of metalloproteins at the residue level promise informative clues to the investigation of intrinsic mechanisms of protein-metal ion interactions. Compared to biophysical or biochemical wet-lab technologies, computational methods provide open web interfaces of high-resolution databases and high-throughput predictors for efficient investigation of metal-binding residues. This review surveys and details 18 public databases of metal-protein binding. We collect a comprehensive set of 44 computation-based methods and classify them into four categories, namely, learning-, docking-, template-, and meta-based methods. We analyze the benchmark datasets, assessment criteria, feature construction, and algorithms. We also compare several methods on two benchmark testing datasets and include a discussion about currently publicly available predictive tools. Finally, we summarize the challenges and underlying limitations of the current studies and propose several prospective directions concerning the future development of the related databases and methods.
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Lecca P. Machine Learning for Causal Inference in Biological Networks: Perspectives of This Challenge. FRONTIERS IN BIOINFORMATICS 2021; 1:746712. [PMID: 36303798 PMCID: PMC9581010 DOI: 10.3389/fbinf.2021.746712] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2021] [Accepted: 09/08/2021] [Indexed: 11/13/2022] Open
Abstract
Most machine learning-based methods predict outcomes rather than understanding causality. Machine learning methods have been proved to be efficient in finding correlations in data, but unskilful to determine causation. This issue severely limits the applicability of machine learning methods to infer the causal relationships between the entities of a biological network, and more in general of any dynamical system, such as medical intervention strategies and clinical outcomes system, that is representable as a network. From the perspective of those who want to use the results of network inference not only to understand the mechanisms underlying the dynamics, but also to understand how the network reacts to external stimuli (e. g. environmental factors, therapeutic treatments), tools that can understand the causal relationships between data are highly demanded. Given the increasing popularity of machine learning techniques in computational biology and the recent literature proposing the use of machine learning techniques for the inference of biological networks, we would like to present the challenges that mathematics and computer science research faces in generalising machine learning to an approach capable of understanding causal relationships, and the prospects that achieving this will open up for the medical application domains of systems biology, the main paradigm of which is precisely network biology at any physical scale.
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Affiliation(s)
- Paola Lecca
- Faculty of Computer Science, Free University of Bozen-Bolzano, Piazza Domenicani, Bolzano, Italy
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SecProCT: In Silico Prediction of Human Secretory Proteins Based on Capsule Network and Transformer. Int J Mol Sci 2021; 22:ijms22169054. [PMID: 34445760 PMCID: PMC8396571 DOI: 10.3390/ijms22169054] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/13/2021] [Revised: 08/12/2021] [Accepted: 08/20/2021] [Indexed: 12/23/2022] Open
Abstract
Identifying secretory proteins from blood, saliva or other body fluids has become an effective method of diagnosing diseases. Existing secretory protein prediction methods are mainly based on conventional machine learning algorithms and are highly dependent on the feature set from the protein. In this article, we propose a deep learning model based on the capsule network and transformer architecture, SecProCT, to predict secretory proteins using only amino acid sequences. The proposed model was validated using cross-validation and achieved 0.921 and 0.892 accuracy for predicting blood-secretory proteins and saliva-secretory proteins, respectively. Meanwhile, the proposed model was validated on an independent test set and achieved 0.917 and 0.905 accuracy for predicting blood-secretory proteins and saliva-secretory proteins, respectively, which are better than conventional machine learning methods and other deep learning methods for biological sequence analysis. The main contributions of this article are as follows: (1) a deep learning model based on a capsule network and transformer architecture is proposed for predicting secretory proteins. The results of this model are better than the those of existing conventional machine learning methods and deep learning methods for biological sequence analysis; (2) only amino acid sequences are used in the proposed model, which overcomes the high dependence of existing methods on the annotated protein features; (3) the proposed model can accurately predict most experimentally verified secretory proteins and cancer protein biomarkers in blood and saliva.
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Liu Z, Gong Y, Guo Y, Zhang X, Lu C, Zhang L, Wang H. TMP- SSurface2: A Novel Deep Learning-Based Surface Accessibility Predictor for Transmembrane Protein Sequence. Front Genet 2021; 12:656140. [PMID: 33790952 PMCID: PMC8006303 DOI: 10.3389/fgene.2021.656140] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/20/2021] [Accepted: 02/22/2021] [Indexed: 12/13/2022] Open
Abstract
Transmembrane protein (TMP) is an important type of membrane protein that is involved in various biological membranes related biological processes. As major drug targets, TMPs’ surfaces are highly concerned to form the structural biases of their material-bindings for drugs or other biological molecules. However, the quantity of determinate TMP structures is still far less than the requirements, while artificial intelligence technologies provide a promising approach to accurately identify the TMP surfaces, merely depending on their sequences without any feature-engineering. For this purpose, we present an updated TMP surface residue predictor TMP-SSurface2 which achieved an even higher prediction accuracy compared to our previous version. The method uses an attention-enhanced Bidirectional Long Short Term Memory (BiLSTM) network, benefiting from its efficient learning capability, some useful latent information is abstracted from protein sequences, thus improving the Pearson correlation coefficients (CC) value performance of the old version from 0.58 to 0.66 on an independent test dataset. The results demonstrate that TMP-SSurface2 is efficient in predicting the surface of transmembrane proteins, representing new progress in transmembrane protein structure modeling based on primary sequences. TMP-SSurface2 is freely accessible at https://github.com/NENUBioCompute/TMP-SSurface-2.0.
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Affiliation(s)
- Zhe Liu
- School of Computer Science and Engineering, Changchun University of Technology, Changchun, China.,School of Information Science and Technology, Institute of Computational Biology, Northeast Normal University, Changchun, China.,Shanghai Mental Health Center, Shanghai Jiao Tong University School of Medicine, School of Biomedical Engineering, Shanghai Jiao Tong University, Shanghai, China
| | - Yingli Gong
- College of Intelligence and Computing, Tianjin University, Tianjin, China
| | - Yuanzhao Guo
- School of Information Science and Technology, Institute of Computational Biology, Northeast Normal University, Changchun, China
| | - Xiao Zhang
- College of Computing and Software Engineering, Kennesaw State University, Kennesaw, GA, United States
| | - Chang Lu
- School of Information Science and Technology, Institute of Computational Biology, Northeast Normal University, Changchun, China
| | - Li Zhang
- School of Computer Science and Engineering, Changchun University of Technology, Changchun, China
| | - Han Wang
- School of Information Science and Technology, Institute of Computational Biology, Northeast Normal University, Changchun, China
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Zhang J, Zhang Y, Li Y, Guo S, Yang G. Identification of Cancer Biomarkers in Human Body Fluids by Using Enhanced Physicochemical-incorporated Evolutionary Conservation Scheme. Curr Top Med Chem 2020; 20:1888-1897. [PMID: 32648847 DOI: 10.2174/1568026620666200710100743] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2019] [Revised: 03/01/2020] [Accepted: 03/02/2020] [Indexed: 02/07/2023]
Abstract
OBJECTIVE Cancer is one of the most serious diseases affecting human health. Among all current cancer treatments, early diagnosis and control significantly help increase the chances of cure. Detecting cancer biomarkers in body fluids now is attracting more attention within oncologists. In-silico predictions of body fluid-related proteins, which can be served as cancer biomarkers, open a door for labor-intensive and time-consuming biochemical experiments. METHODS In this work, we propose a novel method for high-throughput identification of cancer biomarkers in human body fluids. We incorporate physicochemical properties into the weighted observed percentages (WOP) and position-specific scoring matrices (PSSM) profiles to enhance their attributes that reflect the evolutionary conservation of the body fluid-related proteins. The least absolute selection and shrinkage operator (LASSO) feature selection strategy is introduced to generate the optimal feature subset. RESULTS The ten-fold cross-validation results on training datasets demonstrate the accuracy of the proposed model. We also test our proposed method on independent testing datasets and apply it to the identification of potential cancer biomarkers in human body fluids. CONCLUSION The testing results promise a good generalization capability of our approach.
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Affiliation(s)
- Jian Zhang
- School of Computer and Information Technology, Xinyang Normal University, Xinyang, China
| | - Yu Zhang
- Information Engineering College, Huanghuai University, Zhumadian, China
| | - Yanlin Li
- School of Computer and Information Technology, Xinyang Normal University, Xinyang, China
| | - Song Guo
- School of Computer and Information Technology, Xinyang Normal University, Xinyang, China
| | - Guifu Yang
- College of Information Science and Technology, Northeast Normal University, Changchun, China
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Du W, Sun Y, Li G, Cao H, Pang R, Li Y. CapsNet-SSP: multilane capsule network for predicting human saliva-secretory proteins. BMC Bioinformatics 2020; 21:237. [PMID: 32517646 PMCID: PMC7285745 DOI: 10.1186/s12859-020-03579-2] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/10/2020] [Accepted: 06/01/2020] [Indexed: 01/24/2023] Open
Abstract
Background Compared with disease biomarkers in blood and urine, biomarkers in saliva have distinct advantages in clinical tests, as they can be conveniently examined through noninvasive sample collection. Therefore, identifying human saliva-secretory proteins and further detecting protein biomarkers in saliva have significant value in clinical medicine. There are only a few methods for predicting saliva-secretory proteins based on conventional machine learning algorithms, and all are highly dependent on annotated protein features. Unlike conventional machine learning algorithms, deep learning algorithms can automatically learn feature representations from input data and thus hold promise for predicting saliva-secretory proteins. Results We present a novel end-to-end deep learning model based on multilane capsule network (CapsNet) with differently sized convolution kernels to identify saliva-secretory proteins only from sequence information. The proposed model CapsNet-SSP outperforms existing methods based on conventional machine learning algorithms. Furthermore, the model performs better than other state-of-the-art deep learning architectures mostly used to analyze biological sequences. In addition, we further validate the effectiveness of CapsNet-SSP by comparison with human saliva-secretory proteins from existing studies and known salivary protein biomarkers of cancer. Conclusions The main contributions of this study are as follows: (1) an end-to-end model based on CapsNet is proposed to identify saliva-secretory proteins from the sequence information; (2) the proposed model achieves better performance and outperforms existing models; and (3) the saliva-secretory proteins predicted by our model are statistically significant compared with existing cancer biomarkers in saliva. In addition, a web server of CapsNet-SSP is developed for saliva-secretory protein identification, and it can be accessed at the following URL: http://www.csbg-jlu.info/CapsNet-SSP/. We believe that our model and web server will be useful for biomedical researchers who are interested in finding salivary protein biomarkers, especially when they have identified candidate proteins for analyzing diseased tissues near or distal to salivary glands using transcriptome or proteomics.
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Affiliation(s)
- Wei Du
- Key Laboratory of Symbol Computation and Knowledge Engineering of the Ministry of Education, College of Computer Science and Technology, Jilin University, Changchun, 130012, China
| | - Yu Sun
- Key Laboratory of Symbol Computation and Knowledge Engineering of the Ministry of Education, College of Computer Science and Technology, Jilin University, Changchun, 130012, China
| | - Gaoyang Li
- Key Laboratory of Symbol Computation and Knowledge Engineering of the Ministry of Education, College of Computer Science and Technology, Jilin University, Changchun, 130012, China
| | - Huansheng Cao
- Center for Fundamental and Applied Microbiomics, Biodesign Institute, Arizona State University, Tempe, AZ, 85287, USA
| | - Ran Pang
- Key Laboratory of Symbol Computation and Knowledge Engineering of the Ministry of Education, College of Computer Science and Technology, Jilin University, Changchun, 130012, China
| | - Ying Li
- Key Laboratory of Symbol Computation and Knowledge Engineering of the Ministry of Education, College of Computer Science and Technology, Jilin University, Changchun, 130012, China.
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