CN106934252A - A kind of triple net Resources Spread method - Google Patents

A kind of triple net Resources Spread method Download PDF

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CN106934252A
CN106934252A CN201710133230.9A CN201710133230A CN106934252A CN 106934252 A CN106934252 A CN 106934252A CN 201710133230 A CN201710133230 A CN 201710133230A CN 106934252 A CN106934252 A CN 106934252A
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时媛媛
周杰
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South China University of Technology SCUT
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Abstract

The invention discloses a kind of triple net Resources Spread method.It is applied in bioinformatics, in the research process of environmental factor and long non-coding RNA incidence relation.By combining the resource transfers in lncRNAs miRNAs and miRNAs EFs related networks and network, the present invention proposes a kind of network inference method to infer the potential association between lncRNAs and EFs.Experiment analysis results of the present invention show that the method proposed with other, the present invention can predict more reliable lncRNAs and EFs relations.These results demonstrate the ability that our method predicts biologically significant association, and this can cause to more fully understand molecular process.

Description

A kind of triple net Resources Spread method
Technical field
The present invention relates to bioinformatics, more particularly to a kind of triple net Resources Spread method.LncRNA can be obtained Incidence relation and environmental factor between.
Background technology
The variation of biological character is congenital or posteriori arguement, mainly due to variation be caused by hereditary difference or The arguement that environmental difference causes.Current main science viewpoint thinks phenotypic difference, is not by single hereditary difference or ring Border difference is produced, but is influenced each other by the two, is together decided on.It means that phenotype and disease are considered as inherent cause (GFs) interaction relationship complicated and environmental factor (EFs) between is determined.To this day, it has been recognized that almost institute Some diseases are all the results from interaction complicated between individual genomic constitution and each residing environment.Some are common Human body diseases caused by interaction relationship complicated between GEs and EFs, such as cancer, heart disease, alzheimer ' Mo's disease, and diabetes.
Look back in the challenge for designing and run into researching and analysing, preferably to find mutual between genetic and environmental factor Interactively, and to provide better method in public health and clinical practice.Muriel Koehl have studied in adult neural In system, the dynamic interaction of genes and environmental factor.Su et al. has carried out case-control study to assess RAGE genes Variation and environment in influence of the carcinogen to OSCC.Yang et al., manual have collected reliably can be with The experimental data of miRNA-EF incidence relations is supported, and establishes miREnvironment databases.Qiu et al. is analyzed MiRNA-EF incidence relations pair relevant with human diseases in miREnvironment databases, and by analyzing miRNA-EF phases Mutual pattern obtains Main Conclusions.It is assumed that the disease given in miRNA-EFs incidence relations research based on disease, Similar miRNAs (EFs) often produces interaction relationship with similar EFs (miRNAs).Chen be based on this it is assumed that A new calculating is established using type Random Walk Algorithm (random walk with restart, RWR) is restarted The research framework of miRNA-EFs incidence relations, miREFRWR[14].However, with gene compared with miRNA, lncRNA and environment because The complete research system of neither one is gone back in the incidence relation research of element so far, it is desirable to be able to the method for predicting lncRNA-EFs relations To instruct the experimental study direction of lncRNA-EFs.
With reference to genes/miRNA-EFs incidence relation Forecasting Methodologies, have by hypergeometric distribution, between calculating biological information The discrete probabilistic of correlation degree determines incidence relation;Least square method is utilized, by calculating the minimum on biological information network Change cost functions to obtain the optimal classification of incidence relation;Have using type random walk method is restarted, one is set up to biological information The association migration network for magnifying, finds the incidence relation of each biological node by way of converged paths;Utilize machine The sorting technique of study, such as SVM, decision tree and Spectral Clustering, it is classified together by the close node of incidence relation;Or Person utilizes dissemination method, is iterated according to probability in network of personal connections, determines correlation degree.Other include neutral net, heat Diffusion also has the various methods of text mining etc., all for the prediction to gene-EFs incidence relations in the middle of.
Due to being set up currently without a complete reliable lncRNA-EFs linked database, we can select The data predicted as lncRNA-EFs are simultaneously few, limit the selection of Forecasting Methodology.
The pass between lncRNA and environmental factor is predicted by using the triple net in machine learning in this research Connection relation.This research conclusion lncRNA that may related multipair to 10,000 and environmental factor incidence relation have carried out possibility row Sequence, this can be directed to the larger lncRNA of possibility to playing a part of guidance during biologist's research ring afterwards With environmental factor carry out experiment sequencing, it is to avoid the sequencing of blindness is compared, and reduces workload.
The content of the invention
Present invention aim at the deficiency for solving above-mentioned prior art presence, there is provided a kind of triple net Resources Spread side Method, the present invention can be directed to the larger lncRNA of possibility and environmental factor and carry out experiment sequencing, it is to avoid the sequencing ratio of blindness It is right, reduce workload.The present invention is, based on the basis of two subnetwork models, two two subnetwork figures to be associated together, group Into a triple net transferring structure, the network of personal connections set up between node, based on this network of personal connections acquisition pass between points Connection relation.
In real life, if two nodes do not have reliable direct correlation relation, it is necessary to we are common by both Third party's node predict the degree of association of the two.In order to solve this problem, in the definition of bipartite graph, one can be defined The triple net figure of individual resource transfer, this triple net figure is connected two two subnetworks by a common intermediate node Pick up and.Define one and possess three undirected graph G=(V1, E12, V2, E23, V3) of node, wherein Eij is tie point Side between Vi, Vj, form such as Fig. 2.Comprising two networks of level in triple net, for the bipartite graph of each level, New interaction relationship can be extrapolated according to priori, for bipartite graph G1=(V1, E12, V2), it is believed that bag Projection containing both of which, V1 projection and V2 projection, wherein V1 projection represent be for non-directed graph G1, node from V1, The corresponding node in V2 is communicated to by side E12;V2 projections also have identical definition.The pattern of this projection, it is possible to regard knot as Resource, transmission path between point, the weights that resource is finally superimposed out as judge the weight of relevance.
We have proposed the invention of this algorithm of triple net.In triple net, the process of whole Resources Spread can be seen It is made in the transmittance process in two two subnetworks of level.In bipartite graph G1, resource by the projection on G1, by resource from V2 is delivered to V1, then is passed back to V2, and the weights for obtaining are namely based on the associated weights of two subnetwork G1;In G2, resource is first V2 is delivered to from V3 points, and the final weights as V2 points are merged with the associated weight value obtained in ground floor, this weight is led to again The projection for crossing V2 in G2 figures passes to V3 points.By this process, the weights of the V3 points for obtaining, as V1 and V3 incidence relations Weight.
The present invention is achieved through the following technical solutions:
A kind of triple net Resources Spread method, comprises the following steps:
Two two subnetworks are connected by common intermediate node, a triple net is formed, resource is in three nodes Between constantly transmission superposition, finally obtain the weights relation of initial point and finish node predicting and be mutually related between node journey Degree;
Triple net refers to that two networks are integrated by common intermediate node, and on new network, resource has direction Transmission superposition;Being superimposed the process of transmission can regard the two two points processes propagated with last resource consolidation as.
The triple net Resources Spread method is achieved by the steps of:
It is in fact process that resource mutually shifts superposition in individual node in the TRANSFER MODEL of triple net;Handle well Bipartite graph Nlm=(Vl,Vm,Elm) and Nme=(Vm,Ve,Eme) adjacency matrix is built respectivelyWith Wherein in bipartite graph NlmIn, ifWithIt is interrelated, thenOtherwiseTwo Component NmeIn also have similar definition, ifWith It is interrelated, thenOtherwise
The process of the resource transfers of triple net resource transfer method, really will be projected in tripartite on a bipartite graph Weighting procedure on network of network, i.e., based on middle miRNA, the unilateral projection on lncRNA-miRNA and miRNA-EF networks Weighting;Therefore three parts are divided into, i.e., calculate unilateral projections of the miRNA on two two subnetworks, and joint respectively Two projections constitute final recommendation matrix.Process is as follows:
In lncRNA-miRNA related networks Nlm=(Vl,Vm,Elm) in, resource is first from node VmTurn to Vl, then resource Node V is transferred back to againm, this process can obtain miRNA in NlmOn resource projection matrixIt is defined as
WhereinWithRepresent in bipartite graph NlmIn, miRNAs nodesWithIn vectorial VmDegree, it is sameRepresent in bipartite graph NlmIn, lncRNA nodesIn vectorial VlDegree, nlRepresent in NlmThe quantity of middle lncRNA, and join Number λ1∈[0,1];
The N on miRNA-EF related networksme=(Vm,Ve,Eme), the transmission of resource is from node VeStart to be delivered to node Vm, Then transfer back to V againeProcess;Final weights transfer matrix is defined as
WhereinWithRepresent in bipartite graph NmeIn, EF nodesWithIn vectorial VeDegree, it is sameTable Show in bipartite graph NmeIn, miRNA nodesIn vectorial VmDegree, nmRepresent in NmeThe quantity of middle miRNA, and parameter lambda2∈ [0,1];
Wherein parameter lambda1And λ2Weight for adjusting Resources Spread matrix;When λ value is closer to 0, the resource quilt of node is represented Be calculated as the average value of adjacent node, and closer to 1, represent resource be distributed in neck connects node it is more uniform;In prediction, parameter Closer to 0, predicted value is more conservative, and is worth close to 1, and last predicting the outcome more tend to and integrally predict the outcome;
The weight matrix W that above-mentioned two step is obtainedm, WeWith adjacency matrix AmeJoint, can obtain weight matrix After joint weight matrix will have been obtained, with bipartite graph NlmNeighbour Connect matrix AlmCombine again, final forecast power matrixCan be expressed as Wherein ri,jRepresentWithAssociated weights;In the recommendation matrix for finally giving, each node generation The correlation degree of table lncRNA and EF, weights are higher, and the two association possibility is bigger.
Relative to prior art, advantage of the present invention and effect are:
Predict that the association between lncRNA and environmental factor is closed by using the triple net in machine learning in invention System.The present invention lncRNA that may related multipair to 10,000 and environmental factor incidence relation have carried out possibility sequence, this opposite Play a part of guidance during thing scholar research ring afterwards, the larger lncRNA of possibility and environmental factor can be directed to Carry out experiment sequencing, it is to avoid the sequencing of blindness is compared, and reduces workload.
In sum, present invention illustrates a new triple net resource transfer method, and it is applied to biology In informatics, in the research process of environmental factor and long non-coding RNA incidence relation.By combine lncRNAs-miRNAs and Resource transfers in miRNAs-EFs related networks and network, it is proposed that a kind of network inference method is inferred Potential association between lncRNAs and EFs.
Triple net resource transfer method of the present invention can predict more reliable lncRNAs and EFs relations.
Brief description of the drawings
Fig. 1 is the algorithm flow chart of triple net resource transfer.
Fig. 2 is that algorithm is implemented after specific lncRNA-miRNA and miRNA-Efs associated datas, the lncRNA that obtains and The topological network of Efs incidence relations.
Fig. 3 is that algorithm is implemented after specific lncRNA-miRNA and miRNA-Efs associated datas, the lncRNA that obtains and The degree distribution of the topological network of Efs incidence relations, by spending distribution come the reasonability of test organisms network.
Specific embodiment
With reference to Fig. 1 to Fig. 3, the present invention is further described.
It is in fact process that resource mutually shifts superposition in individual node in the TRANSFER MODEL of triple net.To handle well Bipartite graph Nlm=(Vl,Vm,Elm) and Nme=(Vm,Ve,Eme) adjacency matrix is built respectivelyWithWherein in bipartite graph NlmIn, ifWithIt is interrelated, thenOtherwiseIn bipartite graph NmeIn also have similar definition, ifWithIt is interrelated, thenOtherwise
The process of the resource transfers of triple net resource transfer algorithm, actual is exactly that will be projected in three on a bipartite graph Weighting procedure on square network of network, i.e., based on middle miRNA, the unilateral projection on lncRNA-miRNA and miRNA-EF networks Weighting.Therefore algorithm is divided into three parts, i.e., calculate unilateral projections of the miRNA on two two subnetworks respectively, with And two projections of joint constitute final recommendation matrix.Process is as shown below:
In lncRNA-miRNA related networks Nlm=(Vl,Vm,Elm) in, resource is first from node VmTurn to Vl, then resource Node V is transferred back to againm.This process can obtain miRNA in NlmOn resource projection matrixIt is defined as
WhereinWithRepresent in bipartite graph NlmIn, miRNAs nodesWithIn vectorial VmDegree, it is sameRepresent in bipartite graph NlmIn, lncRNA nodesIn vectorial VlDegree, nlRepresent in NlmThe quantity of middle lncRNA, and join Number λ1∈[0,1]。
The N on miRNA-EF related networksme=(Vm,Ve,Eme), the transmission of resource is from node VeStart to be delivered to node Vm, Then transfer back to V againeProcess.Final weights transfer matrix is defined as
WhereinWithRepresent in bipartite graph NmeIn, EF nodesWithIn vectorial VeDegree, it is sameTable Show in bipartite graph NmeIn, miRNA nodesIn vectorial VmDegree, nmRepresent in NmeThe quantity of middle miRNA, and parameter lambda2∈ [0,1]。
Wherein parameter lambda1And λ2Weight for adjusting Resources Spread matrix.When λ value is closer to 0, the resource quilt of node is represented Be calculated as the average value of adjacent node, and closer to 1, represent resource be distributed in neck connects node it is more uniform.In prediction, parameter Closer to 0, predicted value is more conservative, and is worth close to 1, and last predicting the outcome more tend to and integrally predict the outcome.
By the weight matrix W that two steps are obtained abovem, WeWith adjacency matrix AmeJoint, can obtain weight matrix After joint weight matrix will have been obtained, with bipartite graph NlmNeighbour Connect matrix AlmCombine again, final forecast power matrixCan be expressed as Wherein ri,jRepresentWithAssociated weights.In the recommendation matrix for finally giving, each node is represented The correlation degree of lncRNA and EF, weights are higher, and the two association possibility is bigger.
In the foundation of model, it is intended that obtain the incidence relation between lncRNA and EF.Hypothesis based on ceRNA and Experiment support, and in view of the interaction incidence relation between miRNA and lncRNA and EF, it is proposed that a prediction The New Algorithm Model of lncRNA-EF associations.
Accumulative research shows, almost all of bio-networks such as metabolism network, protein-protein interaction network, The node degree of protein domain network, gene interaction, gene expression network etc. follows power law distribution, p (x)~cx-k。R2With it is equal Square error (root mean squared error, RMSE) is used to weigh predicts the lncRNA-EF related networks for obtaining to power Restrain the degree of agreement of distribution.
Algorithm is applied to based on the interaction contact between lncRNA and miRNA, using having studied what is obtained MiRNA-EFs associated datas and lncRNA-miRNA related networks build tripartite's resource transfer topological diagram.Original LncRNA-miRNA related networks can be downloaded from starbase V2.0 and obtained, and the database provides a large amount of by extensive CLIP-Seq sequencing experiments are obtained, most comprehensive lncRNA-miRNA associated datas.MiRNA-EFs association network from MiREnvironment databases obtain, the miRNA-EFs related informations in this database be by PUBMED Experiments prove that document, text mining arranges and obtains.
In paper, there are three parameters to have an impact the result predicted, including matrix is recommended in two lambda parameters and last interception The value α of weight.By combining different λ1=0.1,0.3 ..., 0.9, λ2=0.1,0.3 ..., 0.9 and α=100,150 ..., 500, the different lncRNA-EF prediction incidence matrix that will be obtained utilize R2Assessed with root-mean-square error.Result discovery, with The increase of threshold alpha, lncRNA-EF prediction associations are to reducing, and R2Increased trend is presented.For example, when α=500, it is most of R2Value is higher than 0.8, R in this value item more less than those α2Maximum is also big.For parameter lambda1Or λ2=0.9, it is most of R20.5, folding to be less than it is meant that in these, lncRNA-EF prediction related networks do not follow the degree distribution of power rate.
Finally, combine lncRNA-EF associations that all parameters correspondence obtains to number and corresponding power-law curve intend Conjunction value, it has been found that get 150, λ when the threshold value of matrix R is recommended1=0.3, λ2When=0.1, the lncRNA-EF networks of personal connections for obtaining The most compound power-law curve of network.Now, we have obtained 1086 lncRNAs and 326 the 8148 of EFs lncRNA-EF association It is right.

Claims (2)

1. a kind of triple net Resources Spread method, it is characterised in that comprise the following steps:
Two two subnetworks are connected by common intermediate node, a triple net is formed, resource between three nodes not Superposition is passed in stealpass, finally obtains the weights relation of initial point and finish node to predict degree of be mutually related between node;
Triple net refers to that two networks are integrated by common intermediate node, on new network, the directive biography of resource Pass superposition;Being superimposed the process of transmission can regard the two two points processes propagated with last resource consolidation as.
2. triple net Resources Spread method according to claim 1, it is characterised in that:The triple net Resources Spread side Method is achieved by the steps of:
It is in fact process that resource mutually shifts superposition in individual node in the TRANSFER MODEL of triple net;For handle well two Component Nlm=(Vl,Vm,Elm) and Nme=(Vm,Ve,Eme) adjacency matrix is built respectivelyWith Wherein in bipartite graph NlmIn, if lncRNAAnd miRNAIt is interrelated, thenOtherwiseIn bipartite graph Nme In also have similar definition, if miRNAWith EFIt is interrelated, thenOtherwise
The process of the resource transfers of triple net resource transfer method, really will be projected in triple net on a bipartite graph Weighting procedure on network, i.e., based on middle miRNA, unilateral projection adds on lncRNA-miRNA and miRNA-EF networks Power;Therefore three parts are divided into, i.e., calculate unilateral projections of the miRNA on two two subnetworks, and joint two respectively Individual projection constitutes final recommendation matrix.Process is as follows:
In lncRNA-miRNA related networks Nlm=(Vl,Vm,Elm) in, resource is first from node VmTurn to Vl, then resource pass again Return to node Vm, this process can obtain miRNA in NlmOn resource projection matrixIt is defined as
WhereinWithRepresent in bipartite graph NlmIn, miRNAs nodesWithIn vectorial VmDegree, it is same Represent in bipartite graph NlmIn, lncRNA nodesIn vectorial VlDegree, nlRepresent in NlmThe quantity of middle lncRNA, and parameter lambda1 ∈[0,1];
The N on miRNA-EF related networksme=(Vm,Ve,Eme), the transmission of resource is from node VeStart to be delivered to node Vm, then V is transferred back to againeProcess;Final weights transfer matrix is defined as
WhereinWithRepresent in bipartite graph NmeIn, EF nodesWithIn vectorial VeDegree, it is sameRepresent Bipartite graph NmeIn, miRNA nodesIn vectorial VmDegree, nmRepresent in NmeThe quantity of middle miRNA, and parameter lambda2∈[0,1];
Wherein parameter lambda1And λ2Weight for adjusting Resources Spread matrix;When λ value is closer to 0, the resource for representing node is calculated Be the average value of adjacent node, and closer to 1, represent resource be distributed in neck connects node it is more uniform;In prediction, parameter is got over and is connect Nearly 0, predicted value is more conservative, and is worth close to 1, and last predicting the outcome more tend to and integrally predict the outcome;
The weight matrix W that above-mentioned two step is obtainedm, WeWith adjacency matrix AmeJoint, can obtain weight matrixAfter joint weight matrix will have been obtained, with bipartite graph NlmAdjacency matrix AlmCombine again, final forecast power matrixCan be expressed asWherein ri,jRepresent lncRNAAnd EFAssociated weights;In the recommendation matrix for finally giving, often One node all represents the correlation degree of lncRNA and EF, and weights are higher, and the two association possibility is bigger.
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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108427865A (en) * 2018-03-14 2018-08-21 华南理工大学 A method of prediction LncRNA and environmental factor incidence relation
CN108712663A (en) * 2018-05-03 2018-10-26 武汉斗鱼网络科技有限公司 Direct broadcasting room based on bipartite graph recommends method, corresponding medium and equipment
CN109711653A (en) * 2017-10-26 2019-05-03 厦门一品威客网络科技股份有限公司 Prestige visitor's task recommendation method based on prestige visitor's-task-label tripartite's figure
CN112270958A (en) * 2020-10-23 2021-01-26 大连民族大学 Prediction method based on hierarchical deep learning miRNA-lncRNA interaction relation
CN112289373A (en) * 2020-10-27 2021-01-29 齐齐哈尔大学 lncRNA-miRNA-disease association method fusing similarity

Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109711653A (en) * 2017-10-26 2019-05-03 厦门一品威客网络科技股份有限公司 Prestige visitor's task recommendation method based on prestige visitor's-task-label tripartite's figure
CN109711653B (en) * 2017-10-26 2020-12-15 厦门一品威客网络科技股份有限公司 Weike task recommendation method based on Weike-task-label three-square diagram
CN108427865A (en) * 2018-03-14 2018-08-21 华南理工大学 A method of prediction LncRNA and environmental factor incidence relation
CN108427865B (en) * 2018-03-14 2022-04-22 华南理工大学 Method for predicting correlation between LncRNA and environmental factors
CN108712663A (en) * 2018-05-03 2018-10-26 武汉斗鱼网络科技有限公司 Direct broadcasting room based on bipartite graph recommends method, corresponding medium and equipment
CN108712663B (en) * 2018-05-03 2021-02-02 武汉斗鱼网络科技有限公司 Live broadcast room recommendation method based on bipartite graph, related storage medium and device
CN112270958A (en) * 2020-10-23 2021-01-26 大连民族大学 Prediction method based on hierarchical deep learning miRNA-lncRNA interaction relation
CN112270958B (en) * 2020-10-23 2023-06-20 大连民族大学 Prediction method based on layered deep learning miRNA-lncRNA interaction relationship
CN112289373A (en) * 2020-10-27 2021-01-29 齐齐哈尔大学 lncRNA-miRNA-disease association method fusing similarity
CN112289373B (en) * 2020-10-27 2021-07-06 齐齐哈尔大学 lncRNA-miRNA-disease association method fusing similarity

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Application publication date: 20170707