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Entropy-based link prediction in weighted networks 被引量:2
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作者 Zhongqi Xu Cunlai Pu +2 位作者 Rajput Ramiz Sharafat Lunbo Li Jian Yang 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第1期584-590,共7页
Information entropy has been proved to be an effective tool to quantify the structural importance of complex networks.In a previous work [Xu et al. Physica A, 456 294(2016)], we measure the contribution of a path in... Information entropy has been proved to be an effective tool to quantify the structural importance of complex networks.In a previous work [Xu et al. Physica A, 456 294(2016)], we measure the contribution of a path in link prediction with information entropy. In this paper, we further quantify the contribution of a path with both path entropy and path weight,and propose a weighted prediction index based on the contributions of paths, namely weighted path entropy(WPE), to improve the prediction accuracy in weighted networks. Empirical experiments on six weighted real-world networks show that WPE achieves higher prediction accuracy than three other typical weighted indices. 展开更多
关键词 link prediction weighted networks information entropy
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Weighted Networks Model Based on Traffic Dynamics with Local Perturbation 被引量:1
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作者 ZHAO Hui GAO Zi-You 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第5X期953-956,共4页
In the study of weighted complex networks, the interplay between traffic and topology have been paid much attention. However, the variation of topology and weight brought by new added vertices or edges should also be ... In the study of weighted complex networks, the interplay between traffic and topology have been paid much attention. However, the variation of topology and weight brought by new added vertices or edges should also be considered. In this paper, an evolution model of weighted networks driven by traffic dynamics with local perturbation is proposed. The model gives power-law distribution of degree, weight and strength, as confirmed by empirical measurements. By choosing appropriate parameters W and δ, the exponents of various power law distributions can be adjusted to meet real world networks. Nontrivial clustering coefficient C, degree assortativity coefficient r, and strength-degree correlation are also considered. What should be emphasized is that, with the consideration of local perturbation, one can adjust the exponent of strength-degree correlation more effectively. It makes our model more general than previous ones and may help reproducing real world networks more appropriately. PACS numbers: 87.23.Kg, 89.75.Da, 89.75.Fb, 89.75.Hc. 展开更多
关键词 weighted networks traffic dynamics scale free PERTURBATION
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Detecting and describing the modular structures of weighted networks
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作者 李克平 高自友 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第8期2304-2309,共6页
In the functional properties of complex networks, modules play a central role. In this paper, we propose a new method to detect and describe the modular structures of weighted networks. In order to test the proposed m... In the functional properties of complex networks, modules play a central role. In this paper, we propose a new method to detect and describe the modular structures of weighted networks. In order to test the proposed method, as an example, we use our method to analyse the structural properties of the Chinese railway network. Here, the stations are regarded as the nodes and the track sections are regarded as the links. Rigorous analysis of the existing data shows that using the proposed algorithm, the nodes of network can be classified naturally. Moreover, there are several core nodes in each module. Remarkably, we introduce the correlation function Grs, and use it to distinguish the different modules in weighted networks. 展开更多
关键词 weighted networks modular structure railway network
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Generating weighted community networks based on local events 被引量:1
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作者 徐琪欣 许新建 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第3期933-938,共6页
Many realistic networks have community structures, namely, a network consists of groups of nodes within which links are dense but among which links are sparse. This paper proposes a growing network model based on loca... Many realistic networks have community structures, namely, a network consists of groups of nodes within which links are dense but among which links are sparse. This paper proposes a growing network model based on local processes, the addition of new nodes intra-community and new links intra- or inter-community. Also, it utilizes the preferential attachment for building connections determined by nodes' strengths, which evolves dynamically during the growth of the system. The resulting network reflects the intrinsic community structure with generalized power-law distributions of nodes' degrees and strengths. 展开更多
关键词 complex networks community networks weighted networks
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Predictive Characteristics of Co-authorship Networks: Comparing the Unweighted, Weighted, and Bipartite Cases
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作者 Raf Guns 《Journal of Data and Information Science》 2016年第3期59-78,共20页
Purpose: This study aims to answer the question to what extent different types of networks can be used to predict future co-authorship among authors.Design/methodology/approach: We compare three types ot networks: ... Purpose: This study aims to answer the question to what extent different types of networks can be used to predict future co-authorship among authors.Design/methodology/approach: We compare three types ot networks: unwelgntea networks, in which a link represents a past collaboration; weighted networks, in which links are weighted by the number of joint publications; and bipartite author-publication networks. The analysis investigates their relation to positive stability, as well as their potential in predicting links in future versions of the co-authorship network. Several hypotheses are tested.Findings: Among other results, we find that weighted networks do not automatically lead to better predictions. Bipartite networks, however, outperform unweighted networks in almost all cases. Research limitations: Only two relatively small case studies are considered Practical implications: The study suggests that future link prediction studies on networks should consider using the bipartite network as a training network. Originality/value: This is the first systematic comparison of unweighted, weighted, and bipartite training networks in link prediction. 展开更多
关键词 Network evolution Link prediction weighted networks Bipartite networks Two-mode networks
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Weighted Evolving Networks with Self-organized Communities 被引量:2
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作者 XIE Zhou LI Xiang WANG Xiao-Fan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第7期261-266,共6页
In order to describe the self-organization of communities in the evolution of weighted networks, we propose a new evolving model for weighted community-structured networks with the preferential mechanisms functioned i... In order to describe the self-organization of communities in the evolution of weighted networks, we propose a new evolving model for weighted community-structured networks with the preferential mechanisms functioned in different levels according to community sizes and node strengths, respectively. Theoretical analyses and numerical simulations show that our model captures power-law distributions of community sizes, node strengths, and link weights, with tunable exponents of v ≥ 1, γ 〉 2, and α 〉 2, respectively, sharing large clustering coefficients and scaling clustering spectra, and covering the range from disassortative networks to assortative networks. Finally, we apply our new model to the scientific co-authorship networks with both their weighted and unweighted datasets to verify its effectiveness. 展开更多
关键词 weighted network community structure preferential growth SCALE-FREE HIERARCHY
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Malicious Code Modeling and Analysis in Weighted Scale-Free Networks 被引量:2
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作者 WANG Changguang WANG Fangwei +1 位作者 ZHANG Yangkai MA Jianfengi 《Wuhan University Journal of Natural Sciences》 CAS 2007年第1期51-54,共4页
We study the detailed malicious code propagating process in scale-free networks with link weights that denotes traffic between two nodes. It is found that the propagating velocity reaches a peak rapidly then decays in... We study the detailed malicious code propagating process in scale-free networks with link weights that denotes traffic between two nodes. It is found that the propagating velocity reaches a peak rapidly then decays in a power-law form, which is different from the well-known result in unweighted network case. Simulation results show that the nodes with larger strength are preferential to be infected, but the hierarchical dynamics are not clearly found. The simulation results also show that larger dispersion of weight of networks leads to slower propagating, which indicates that malicious code propagates more quickly in unweighted scale-free networks than in weighted scale-free networks under the same condition. These results show that not only the topology of networks but also the link weights affect the malicious propagating process. 展开更多
关键词 malicious code weighted scale-free networks propagation model
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Synchronization Stability in Weighted Complex Networks with Coupling Delays 被引量:1
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作者 WANG Qing-Yun DUAN Zhi-Sheng +1 位作者 CHEN Guan-Rong LU Qi-Shao 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第4期684-690,共7页
Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in connection strengths. In addition, the information spreading through a complex network is often ... Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in connection strengths. In addition, the information spreading through a complex network is often associated with time delays due to the finite speed of signal transmission over a distance. Hence, the weighted complex network with coupling delays have meaningful implications in real world, and resultantly gains increasing attention in various fields of science and engineering. Based on the theory of asymptotic stability of linear time-delay systems, synchronization stability of the weighted complex dynamical network with coupling delays is investigated, and simple criteria are obtained for both delay-independent and delay-dependent stabilities of synchronization states. The obtained criteria in this paper encompass the established results in the literature as special cases. Some examples are given to illustrate the theoretical results. 展开更多
关键词 weighted complex networks coupling delays synchronization stability
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Screening biomarkers for spinal cord injury using weighted gene co-expression network analysis and machine learning 被引量:6
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作者 Xiaolu Li Ye Yang +3 位作者 Senming Xu Yuchang Gui Jianmin Chen Jianwen Xu 《Neural Regeneration Research》 SCIE CAS CSCD 2024年第12期2723-2734,共12页
Immune changes and inflammatory responses have been identified as central events in the pathological process of spinal co rd injury.They can greatly affect nerve regeneration and functional recovery.However,there is s... Immune changes and inflammatory responses have been identified as central events in the pathological process of spinal co rd injury.They can greatly affect nerve regeneration and functional recovery.However,there is still limited understanding of the peripheral immune inflammato ry response in spinal cord inju ry.In this study.we obtained microRNA expression profiles from the peripheral blood of patients with spinal co rd injury using high-throughput sequencing.We also obtained the mRNA expression profile of spinal cord injury patients from the Gene Expression Omnibus(GEO)database(GSE151371).We identified 54 differentially expressed microRNAs and 1656 diffe rentially expressed genes using bioinformatics approaches.Functional enrichment analysis revealed that various common immune and inflammation-related signaling pathways,such as neutrophil extracellular trap formation pathway,T cell receptor signaling pathway,and nuclear factor-κB signal pathway,we re abnormally activated or inhibited in spinal cord inju ry patient samples.We applied an integrated strategy that combines weighted gene co-expression network analysis,LASSO logistic regression,and SVM-RFE algorithm and identified three biomarke rs associated with spinal cord injury:ANO10,BST1,and ZFP36L2.We verified the expression levels and diagnostic perfo rmance of these three genes in the original training dataset and clinical samples through the receiver operating characteristic curve.Quantitative polymerase chain reaction results showed that ANO20 and BST1 mRNA levels were increased and ZFP36L2 mRNA was decreased in the peripheral blood of spinal cord injury patients.We also constructed a small RNA-mRNA interaction network using Cytoscape.Additionally,we evaluated the proportion of 22 types of immune cells in the peripheral blood of spinal co rd injury patients using the CIBERSORT tool.The proportions of naive B cells,plasma cells,monocytes,and neutrophils were increased while the proportions of memory B cells,CD8^(+)T cells,resting natural killer cells,resting dendritic cells,and eosinophils were markedly decreased in spinal cord injury patients increased compared with healthy subjects,and ANO10,BST1 and ZFP26L2we re closely related to the proportion of certain immune cell types.The findings from this study provide new directions for the development of treatment strategies related to immune inflammation in spinal co rd inju ry and suggest that ANO10,BST2,and ZFP36L2 are potential biomarkers for spinal cord injury.The study was registe red in the Chinese Clinical Trial Registry(registration No.ChiCTR2200066985,December 12,2022). 展开更多
关键词 bioinformatics analysis BIOMARKER CIBERSORT GEO dataset LASSO miRNA-mRNA network RNA sequencing spinal cord injury SVM-RFE weighted gene co-expression network analysis
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A Mixed Mechanism of Weighted-Driven and Inner Selection in Networks
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作者 ZHANG Gui-Qing WANG Lin CHEN Tian-Lun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第5期947-953,共7页
For most networks, the weight of connection is changing with their attachment and inner affinity. By introducing a mixed mechanism of weighted-driven and inner selection, the model exhibits wide range power-law distri... For most networks, the weight of connection is changing with their attachment and inner affinity. By introducing a mixed mechanism of weighted-driven and inner selection, the model exhibits wide range power-law distributions of node strength and edge weight, and the exponent can be adjusted by not only the parameter δ but also the probability q. Furthermore, we investigate the weighted average shortest distance, clustering coefficient, and the correlation of our network. In addition, the weighted assortativity coefficient which characterizes important information of weighted topological networks has been discussed, but the variation of coefficients is much smaller than the former researches. 展开更多
关键词 complex network evolving weighted network clustering coefficient weighted assortativity coefficient CORRELATION
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Weighted Scaling in Non-growth Random Networks
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作者 陈光 杨旭华 徐新黎 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第9期456-462,共7页
We propose a weighted model to explain the self-organizing formation of scale-free phenomenon in nongrowth random networks. In this model, we use multiple-edges to represent the connections between vertices and define... We propose a weighted model to explain the self-organizing formation of scale-free phenomenon in nongrowth random networks. In this model, we use multiple-edges to represent the connections between vertices and define the weight of a multiple-edge as the total weights of all single-edges within it and the strength of a vertex as the sum of weights for those multiple-edges attached to it. The network evolves according to a vertex strength preferential selection mechanism. During the evolution process, the network always holds its totM number of vertices and its total number of single-edges constantly. We show analytically and numerically that a network will form steady scale-free distributions with our model. The results show that a weighted non-growth random network can evolve into scMe-free state. It is interesting that the network also obtains the character of an exponential edge weight distribution. Namely, coexistence of scale-free distribution and exponential distribution emerges. 展开更多
关键词 weighted network random network non-growth scale-free distribution
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Modeling Evolution of Weighted Clique Networks
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作者 杨旭华 蒋峰岭 +1 位作者 陈胜勇 王万良 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第11期952-956,共5页
We propose a weighted clique network evolution model, which expands continuously by the addition of a new clique (maximal complete sub-graph) at. each time step. And the cliques in the network overlap with each othe... We propose a weighted clique network evolution model, which expands continuously by the addition of a new clique (maximal complete sub-graph) at. each time step. And the cliques in the network overlap with each other. The structural expansion of the weighted clique network is combined with the edges' weight and vertices' strengths dynamical evolution. The model is based on a weight-driven dynamics and a weights' enhancement mechanism combining with the network growth. We study the network properties, which include the distribution of vertices' strength and the distribution o~ edges' weight, and find that both the distributions follow the scale-free distribution. At the same time, we also find that the relationship between strength and degree of a vertex are linear correlation during the growth of the network. On the basis of mean-field theory, we study the weighted network model and prove that both vertices' strength and edges' weight of this model follow the scale-free distribution. And we exploit an algorithm to forecast the network dynamics, which can be used to reckon the distributions and the corresponding scaling exponents. Furthermore, we observe that mean-field based theoretic results are consistent with the statistical data of the model, which denotes the theoretical result in this paper is effective. 展开更多
关键词 weighted clique networks SCALE-FREE mean-field theory
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Modeling Topology and Nonlinear Dynamical Behavior of the Weighted Scale-Free Networks
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作者 YANG Qiu-Ying ZHANG Gui-Qing ZHANG Ying-Yue CHEN Tian-Lun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第7期120-124,共5页
An improved weighted scale-free network, which has two evolution mechanisms: topological growth and strength dynamics, has been introduced. The topology structure of the model will be explored in details in this work... An improved weighted scale-free network, which has two evolution mechanisms: topological growth and strength dynamics, has been introduced. The topology structure of the model will be explored in details in this work. The evolution driven mechanism of Olami-Feder Christensen (OFC) model is added to our model to study the self-organlzed criticality and the dynamical behavior. We also.consider attack mechanism and the study of the model with attack is also investigated in this paper. We tlnd there are differences between the model with attack and without attack. 展开更多
关键词 weighted scale-free network ATTACK self-organized criticality
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Hash function construction using weighted complex dynamical networks
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作者 宋玉蓉 蒋国平 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第4期172-177,共6页
A novel scheme to construct a hash function based on a weighted complex dynamical network (WCDN) generated from an original message is proposed in this paper. First, the original message is divided into blocks. Then... A novel scheme to construct a hash function based on a weighted complex dynamical network (WCDN) generated from an original message is proposed in this paper. First, the original message is divided into blocks. Then, each block is divided into components, and the nodes and weighted edges are well defined from these components and their relations. Namely, the WCDN closely related to the original message is established. Furthermore, the node dynamics of the WCDN are chosen as a chaotic map. After chaotic iterations, quantization and exclusive-or operations, the fixed-length hash value is obtained. This scheme has the property that any tiny change in message can be diffused rapidly through the WCDN, leading to very different hash values. Analysis and simulation show that the scheme possesses good statistical properties, excellent confusion and diffusion, strong collision resistance and high efficiency. 展开更多
关键词 hash function weighted complex dynamical networks chaotic map CRYPTOGRAPHY
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Scaling of weighted spectral distribution in weighted small-world networks
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作者 Bo Jiao Xiao-Qun Wu 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第2期536-545,共10页
Many real-world systems can be modeled by weighted small-world networks with high clustering coefficients. Recent studies for rigorously analyzing the weighted spectral distribution(W SD) have focused on unweighted ... Many real-world systems can be modeled by weighted small-world networks with high clustering coefficients. Recent studies for rigorously analyzing the weighted spectral distribution(W SD) have focused on unweighted networks with low clustering coefficients. In this paper, we rigorously analyze the W SD in a deterministic weighted scale-free small-world network model and find that the W SD grows sublinearly with increasing network order(i.e., the number of nodes) and provides a sensitive discrimination for each input of this model. This study demonstrates that the scaling feature of the W SD exists in the weighted network model which has high and order-independent clustering coefficients and reasonable power-law exponents. 展开更多
关键词 weighted spectral distribution weighted small-world network scaling
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Integrating Local Closure Coefficient into Weighted Networks for Link Prediction
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作者 JieHua Wu 《国际计算机前沿大会会议论文集》 2021年第1期51-64,共14页
Triadic closure is a simple and fundamental kind of link formulation mechanism in network.Local closure coefficient(LCC),a new network property,is to measure the triadic closure with respect to the fraction of length-... Triadic closure is a simple and fundamental kind of link formulation mechanism in network.Local closure coefficient(LCC),a new network property,is to measure the triadic closure with respect to the fraction of length-2 paths for link prediction.In this paper,a weighted format of LCC(WLCC)is introduced to measure the weighted strength of local triadic structure,and a statistic similari-ty-based link prediction metric is proposed to incorporate the definition of WLCC.To prove the metrics effectiveness and scalability,the WLCC formula-tion was further investigated under weighted local Naive Bayes(WLNB)link prediction framework.Finally,extensive experimental studies was conducted with weighted baseline metrics on various public network datasets.The results demonstrate the merits of the proposed metrics in comparison with the weighted baselines. 展开更多
关键词 Link prediction Local closure coefficient Clustering coefficient Complex network weighted network
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Analysis of epidemic spreading with feedback mechanism in weighted networks
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作者 Jiancheng Zhang Jitao Sun 《International Journal of Biomathematics》 2015年第1期81-91,共11页
In this paper, we investigate a new model with a generalized feedback mechanism in weighted networks. Compare to previous models, we consider the initiative response of people and the important impact of nodes with di... In this paper, we investigate a new model with a generalized feedback mechanism in weighted networks. Compare to previous models, we consider the initiative response of people and the important impact of nodes with different edges on transmission rate as epidemics prevail. Furthermore, by constructing Lyapunov function, we prove that the disease-free equilibrium E^0 is globally asymptotically stable as the epidemic threshold R^*〈 1. When R^* 〉 1, we obtain the permanence of epidemic and the local stability of endemic equilibrium E*. Finally, one can find a good agreement between numerical simulations and our analytical results. 展开更多
关键词 SIS model weighted network feedback mechanism global analysis
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A Weighted Evolving Network with Community Size Preferential Attachment
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作者 卓志伟 单而芳 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第11期813-818,共6页
Community structure is an important characteristic in real complex network.It is a network consists ofgroups of nodes within which links are dense but among which links are sparse.In this paper, the evolving network i... Community structure is an important characteristic in real complex network.It is a network consists ofgroups of nodes within which links are dense but among which links are sparse.In this paper, the evolving network includenode, link and community growth and we apply the community size preferential attachment and strength preferentialattachment to a growing weighted network model and utilize weight assigning mechanism from BBV model.Theresulting network reflects the intrinsic community structure with generalized power-law distributions of nodes'degreesand strengths. 展开更多
关键词 community networks weighted networks BBV model community size preferential attachment power-law distribution degree distribution strength distribution
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Nav1.6 drives colorectal cancer proliferation and invasion through MAPK signaling pathway
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作者 Li-Ming Zhao Wan-Ying Hong +6 位作者 Jian-Guang Xu Shui-Quan Lin Ming-Sheng Liu Li-Hui Wang Xu-Li Jiang Ming Sang Yang-Bo Lv 《World Journal of Gastrointestinal Oncology》 2025年第7期281-296,共16页
BACKGROUND Voltage-gated sodium channels(VGSCs,or Navs)are highly expressed in various tumors and play a critical role in tumor metastasis and invasion.AIM To identify Nav1.6-associated cancer genes through bioinforma... BACKGROUND Voltage-gated sodium channels(VGSCs,or Navs)are highly expressed in various tumors and play a critical role in tumor metastasis and invasion.AIM To identify Nav1.6-associated cancer genes through bioinformatics analysis and experimental validation,with the goal of determining the role of Nav1.6 in colorectal cancer(CRC)metastasis.METHODS The Cancer Genome Atlas(TCGA)and Gene Expression Omnibus(GEO)data were analyzed using weighted correlation network analysis(WGCNA)and Venn analysis to identify Nav1.6-associated genes in CRC.siRNA,real-time PCR,and western blotting were employed to validate the Nav1.6-associated cancer genes and signaling pathways identified in CRC.Cell counting kit-8 and Transwell migration assays were used to assess the proliferation and migration of CRC cells.RESULTS The analysis of TCGA and GEO datasets,along with WGCNA,identified 575 differentially expressed genes associated with SCN8A(Nav1.6)in CRC,which were particularly enriched in MAPK signaling pathways.Tissue microarray analysis of surgical samples revealed elevated Nav1.6 levels in CRC tissues,which were predominantly in the cytoplasm and nucleus rather than in the membrane.Cytoplasmic Nav1.6 expression increased with T stage increases,consistent with the TCGA findings.SCN8A knockdown in colon tumor cells significantly reduced cell proliferation and invasion and downregulated key proteins in the RAF-MAPK pathway.CONCLUSION These findings suggest that Nav1.6 promotes CRC cell proliferation and invasion which is related to the MAPK signaling pathway. 展开更多
关键词 Nav1.6 Colorectal cancer weighted correlation network analysis MAPK signaling Cancer proliferation
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Transcriptional activation of MdDEF30 by MdWRKY75 enhances apple resistance to Cytospora canker
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作者 Hongchen Jia Youwei Du +6 位作者 Yuanyuan Liu Shuanghong Wang Yan Wang Sadia Noorin Mark LGleason Rong Zhang Guangyu Sun 《Journal of Integrative Agriculture》 2025年第3期1108-1125,共18页
Defensin,an essential component of plant development,is indispensable in pathogen resistance.However,the molecular function of defensins under pathological conditions of Cytospora canker has not been characterized in ... Defensin,an essential component of plant development,is indispensable in pathogen resistance.However,the molecular function of defensins under pathological conditions of Cytospora canker has not been characterized in apple plants.The present study exhibits a detailed overview of the phylogeny and structure of 29 defensins(MdDEF)in apple.Expression analysis revealed that MdDEF genes were spatiotemporally diverse across apple tissues.Five MdDEF genes were found to be significantly up-regulated following a challenge with Cytospora mali.The transgenic overexpression of five defensin genes in apple calli enhanced resistance to C.mali.Among them,MdDEF30 was strongly induced and conferred the highest resistance level in vivo.Meanwhile,antifungal activity assays in vitro demonstrated that a recombinant protein produced from MdDEF30could inhibit the growth of C.mali.Notably,MdDEF30 promoted the accumulation of reactive oxygen species(ROS)and activated defense-related genes such as PR4,PR10,CML13,and MPK3.Co-expression regulatory network analysis showed that MdWRKY75 may regulate the expression of MdDEF30.Further yeast onehybrid(Y1H),luciferase,and chromatin Immunoprecipitation quantitative polymerase chain reaction(ChIPqPCR)assays verified that MdWRKY75 could directly bind to the promoter of MdDEF30.Importantly,pathogen inoculation assays confirmed that MdWRKY75 positively regulates resistance by transcriptionally activating MdDEF30.Overall,these results demonstrated that MdDEF30 promotes resistance to C.mali in apple plants and that MdWRKY75 regulates MdDEF30 expression during the induction of resistance,thereby clarifying biochemical mechanisms of resistance to C.mali in apple trees. 展开更多
关键词 apple calli DEFENSIN gene family Cytospora mali induced resistance antifungal activity weighted correlation network analysis(WGCNA) transcription factors
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