Influenza viruses are divided into three types: A, B and C. Among them, type A virus is the most virulent human pathogen and causes the most severe disease. In this paper, we propose a new time series model for influenza A virus DNA sequence, i.e.chaos game representation (CGR) radians series. The CGR coordinates are converted into a time series model, and a long-memory ARFIMA( p,d,q ) model is introduced to simulate the time series model. We select randomly 10 H1N1 sequences and 10 H3N2 sequences in analysis. we find in these data a remarkably long-range correlation and fit the model reasonably by ARFIMA (p,d,q) model, and also find that we can use different ARFIMA models to identify the two kinds of sequences, i.e. ARFIMA(0, d ,5) model and ARFIMA(1, d ,1) model that can identify H1N1 and H3N2 respectively.
{"title":"Long-memory ARFIMA model for DNA sequences of influenza A virus","authors":"Liu Juan, Gao Jie","doi":"10.7498/aps.60.048702","DOIUrl":"https://doi.org/10.7498/aps.60.048702","url":null,"abstract":"Influenza viruses are divided into three types: A, B and C. Among them, type A virus is the most virulent human pathogen and causes the most severe disease. In this paper, we propose a new time series model for influenza A virus DNA sequence, i.e.chaos game representation (CGR) radians series. The CGR coordinates are converted into a time series model, and a long-memory ARFIMA( p,d,q ) model is introduced to simulate the time series model. We select randomly 10 H1N1 sequences and 10 H3N2 sequences in analysis. we find in these data a remarkably long-range correlation and fit the model reasonably by ARFIMA (p,d,q) model, and also find that we can use different ARFIMA models to identify the two kinds of sequences, i.e. ARFIMA(0, d ,5) model and ARFIMA(1, d ,1) model that can identify H1N1 and H3N2 respectively.","PeriodicalId":152943,"journal":{"name":"China Journal of Bioinformatics","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127252330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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