Functional Clustering of Periodic Transcriptional Profiles through ARMA(p,q)
Events
Loading … Spinner

Mendeley | Further Information

{"title"=>"Functional clustering of periodic transcriptional profiles through ARMA(p,q)", "type"=>"journal", "authors"=>[{"first_name"=>"Ning", "last_name"=>"Li", "scopus_author_id"=>"55547128673"}, {"first_name"=>"Timothy", "last_name"=>"McMurry", "scopus_author_id"=>"7004027029"}, {"first_name"=>"Arthur", "last_name"=>"Berg", "scopus_author_id"=>"7401596610"}, {"first_name"=>"Zhong", "last_name"=>"Wang", "scopus_author_id"=>"55719623300"}, {"first_name"=>"Scott A.", "last_name"=>"Berceli", "scopus_author_id"=>"6701708096"}, {"first_name"=>"Rongling", "last_name"=>"Wu", "scopus_author_id"=>"7402944700"}], "year"=>2010, "source"=>"PLoS ONE", "identifiers"=>{"issn"=>"19326203", "isbn"=>"1932-6203 (Electronic)\\n1932-6203 (Linking)", "sgr"=>"77956316758", "doi"=>"10.1371/journal.pone.0009894", "scopus"=>"2-s2.0-77956316758", "pui"=>"359482299", "pmid"=>"20419127"}, "id"=>"53a326a1-3662-3151-abe8-58d69aa1e457", "abstract"=>"BACKGROUND: Gene clustering of periodic transcriptional profiles provides an opportunity to shed light on a variety of biological processes, but this technique relies critically upon the robust modeling of longitudinal covariance structure over time.\\n\\nMETHODOLOGY: We propose a statistical method for functional clustering of periodic gene expression by modeling the covariance matrix of serial measurements through a general autoregressive moving-average process of order (p,q), the so-called ARMA(p,q). We derive a sophisticated EM algorithm to estimate the proportions of each gene cluster, the Fourier series parameters that define gene-specific differences in periodic expression trajectories, and the ARMA parameters that model the covariance structure within a mixture model framework. The orders and of the ARMA process that provide the best fit are identified by model selection criteria.\\n\\nCONCLUSIONS: Through simulated data we show that whenever it is necessary, employment of sophisticated covariance structures such as ARMA is crucial in order to obtain unbiased estimates of the mean structure parameters and increased precision of estimation. The methods were implemented on recently published time-course gene expression data in yeast and the procedure was shown to effectively identify interesting periodic clusters in the dataset. The new approach will provide a powerful tool for understanding biological functions on a genomic scale.", "link"=>"http://www.mendeley.com/research/functional-clustering-periodic-transcriptional-profiles-through-armapq", "reader_count"=>17, "reader_count_by_academic_status"=>{"Professor > Associate Professor"=>1, "Student > Doctoral Student"=>1, "Researcher"=>1, "Student > Ph. D. Student"=>5, "Student > Postgraduate"=>1, "Other"=>3, "Professor"=>5}, "reader_count_by_user_role"=>{"Professor > Associate Professor"=>1, "Student > Doctoral Student"=>1, "Researcher"=>1, "Student > Ph. D. Student"=>5, "Student > Postgraduate"=>1, "Other"=>3, "Professor"=>5}, "reader_count_by_subject_area"=>{"Engineering"=>2, "Environmental Science"=>1, "Mathematics"=>1, "Agricultural and Biological Sciences"=>8, "Medicine and Dentistry"=>2, "Computer Science"=>3}, "reader_count_by_subdiscipline"=>{"Engineering"=>{"Engineering"=>2}, "Medicine and Dentistry"=>{"Medicine and Dentistry"=>2}, "Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>8}, "Computer Science"=>{"Computer Science"=>3}, "Mathematics"=>{"Mathematics"=>1}, "Environmental Science"=>{"Environmental Science"=>1}}, "reader_count_by_country"=>{"United States"=>1, "France"=>1}, "group_count"=>1}

Scopus | Further Information

{"@_fa"=>"true", "link"=>[{"@_fa"=>"true", "@ref"=>"self", "@href"=>"https://api.elsevier.com/content/abstract/scopus_id/77956316758"}, {"@_fa"=>"true", "@ref"=>"author-affiliation", "@href"=>"https://api.elsevier.com/content/abstract/scopus_id/77956316758?field=author,affiliation"}, {"@_fa"=>"true", "@ref"=>"scopus", "@href"=>"https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77956316758&origin=inward"}, {"@_fa"=>"true", "@ref"=>"scopus-citedby", "@href"=>"https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=77956316758&origin=inward"}], "prism:url"=>"https://api.elsevier.com/content/abstract/scopus_id/77956316758", "dc:identifier"=>"SCOPUS_ID:77956316758", "eid"=>"2-s2.0-77956316758", "dc:title"=>"Functional clustering of periodic transcriptional profiles through ARMA(p,q)", "dc:creator"=>"Li N.", "prism:publicationName"=>"PLoS ONE", "prism:eIssn"=>"19326203", "prism:volume"=>"5", "prism:issueIdentifier"=>"4", "prism:pageRange"=>nil, "prism:coverDate"=>"2010-09-10", "prism:coverDisplayDate"=>"2010", "prism:doi"=>"10.1371/journal.pone.0009894", "citedby-count"=>"22", "affiliation"=>[{"@_fa"=>"true", "affilname"=>"University of Florida", "affiliation-city"=>"Gainesville", "affiliation-country"=>"United States"}], "pubmed-id"=>"20419127", "prism:aggregationType"=>"Journal", "subtype"=>"ar", "subtypeDescription"=>"Article", "article-number"=>"e9894", "source-id"=>"10600153309", "openaccess"=>"1", "openaccessFlag"=>true}

Facebook

  • {"url"=>"http%3A%2F%2Fjournals.plos.org%2Fplosone%2Farticle%3Fid%3D10.1371%252Fjournal.pone.0009894", "share_count"=>0, "like_count"=>0, "comment_count"=>0, "click_count"=>0, "total_count"=>0}

Counter

  • {"month"=>"4", "year"=>"2010", "pdf_views"=>"35", "xml_views"=>"2", "html_views"=>"158"}
  • {"month"=>"5", "year"=>"2010", "pdf_views"=>"15", "xml_views"=>"0", "html_views"=>"78"}
  • {"month"=>"6", "year"=>"2010", "pdf_views"=>"8", "xml_views"=>"1", "html_views"=>"30"}
  • {"month"=>"7", "year"=>"2010", "pdf_views"=>"9", "xml_views"=>"0", "html_views"=>"38"}
  • {"month"=>"8", "year"=>"2010", "pdf_views"=>"5", "xml_views"=>"0", "html_views"=>"23"}
  • {"month"=>"9", "year"=>"2010", "pdf_views"=>"7", "xml_views"=>"2", "html_views"=>"35"}
  • {"month"=>"10", "year"=>"2010", "pdf_views"=>"5", "xml_views"=>"1", "html_views"=>"34"}
  • {"month"=>"11", "year"=>"2010", "pdf_views"=>"4", "xml_views"=>"0", "html_views"=>"72"}
  • {"month"=>"12", "year"=>"2010", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"21"}
  • {"month"=>"1", "year"=>"2011", "pdf_views"=>"6", "xml_views"=>"2", "html_views"=>"38"}
  • {"month"=>"2", "year"=>"2011", "pdf_views"=>"6", "xml_views"=>"0", "html_views"=>"31"}
  • {"month"=>"3", "year"=>"2011", "pdf_views"=>"4", "xml_views"=>"0", "html_views"=>"29"}
  • {"month"=>"4", "year"=>"2011", "pdf_views"=>"7", "xml_views"=>"0", "html_views"=>"28"}
  • {"month"=>"5", "year"=>"2011", "pdf_views"=>"6", "xml_views"=>"1", "html_views"=>"21"}
  • {"month"=>"6", "year"=>"2011", "pdf_views"=>"4", "xml_views"=>"1", "html_views"=>"8"}
  • {"month"=>"7", "year"=>"2011", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"12"}
  • {"month"=>"8", "year"=>"2011", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"5"}
  • {"month"=>"9", "year"=>"2011", "pdf_views"=>"1", "xml_views"=>"1", "html_views"=>"14"}
  • {"month"=>"10", "year"=>"2011", "pdf_views"=>"5", "xml_views"=>"0", "html_views"=>"29"}
  • {"month"=>"11", "year"=>"2011", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"18"}
  • {"month"=>"12", "year"=>"2011", "pdf_views"=>"5", "xml_views"=>"0", "html_views"=>"24"}
  • {"month"=>"1", "year"=>"2012", "pdf_views"=>"2", "xml_views"=>"1", "html_views"=>"14"}
  • {"month"=>"2", "year"=>"2012", "pdf_views"=>"4", "xml_views"=>"0", "html_views"=>"19"}
  • {"month"=>"3", "year"=>"2012", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"12"}
  • {"month"=>"4", "year"=>"2012", "pdf_views"=>"6", "xml_views"=>"1", "html_views"=>"32"}
  • {"month"=>"5", "year"=>"2012", "pdf_views"=>"6", "xml_views"=>"0", "html_views"=>"22"}
  • {"month"=>"6", "year"=>"2012", "pdf_views"=>"6", "xml_views"=>"0", "html_views"=>"26"}
  • {"month"=>"7", "year"=>"2012", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"13"}
  • {"month"=>"8", "year"=>"2012", "pdf_views"=>"4", "xml_views"=>"5", "html_views"=>"11"}
  • {"month"=>"9", "year"=>"2012", "pdf_views"=>"5", "xml_views"=>"1", "html_views"=>"7"}
  • {"month"=>"10", "year"=>"2012", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"16"}
  • {"month"=>"11", "year"=>"2012", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"6"}
  • {"month"=>"12", "year"=>"2012", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"5"}
  • {"month"=>"1", "year"=>"2013", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"27"}
  • {"month"=>"2", "year"=>"2013", "pdf_views"=>"3", "xml_views"=>"1", "html_views"=>"27"}
  • {"month"=>"3", "year"=>"2013", "pdf_views"=>"4", "xml_views"=>"0", "html_views"=>"35"}
  • {"month"=>"4", "year"=>"2013", "pdf_views"=>"1", "xml_views"=>"0", "html_views"=>"25"}
  • {"month"=>"5", "year"=>"2013", "pdf_views"=>"6", "xml_views"=>"0", "html_views"=>"21"}
  • {"month"=>"6", "year"=>"2013", "pdf_views"=>"1", "xml_views"=>"0", "html_views"=>"12"}
  • {"month"=>"7", "year"=>"2013", "pdf_views"=>"1", "xml_views"=>"0", "html_views"=>"16"}
  • {"month"=>"8", "year"=>"2013", "pdf_views"=>"1", "xml_views"=>"0", "html_views"=>"5"}
  • {"month"=>"9", "year"=>"2013", "pdf_views"=>"4", "xml_views"=>"0", "html_views"=>"8"}
  • {"month"=>"10", "year"=>"2013", "pdf_views"=>"2", "xml_views"=>"1", "html_views"=>"16"}
  • {"month"=>"11", "year"=>"2013", "pdf_views"=>"3", "xml_views"=>"1", "html_views"=>"11"}
  • {"month"=>"12", "year"=>"2013", "pdf_views"=>"4", "xml_views"=>"0", "html_views"=>"14"}
  • {"month"=>"1", "year"=>"2014", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"16"}
  • {"month"=>"2", "year"=>"2014", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"7"}
  • {"month"=>"3", "year"=>"2014", "pdf_views"=>"2", "xml_views"=>"2", "html_views"=>"22"}
  • {"month"=>"4", "year"=>"2014", "pdf_views"=>"3", "xml_views"=>"2", "html_views"=>"7"}
  • {"month"=>"5", "year"=>"2014", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"5"}
  • {"month"=>"6", "year"=>"2014", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"18"}
  • {"month"=>"7", "year"=>"2014", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"14"}
  • {"month"=>"8", "year"=>"2014", "pdf_views"=>"2", "xml_views"=>"2", "html_views"=>"7"}
  • {"month"=>"9", "year"=>"2014", "pdf_views"=>"3", "xml_views"=>"1", "html_views"=>"5"}
  • {"month"=>"10", "year"=>"2014", "pdf_views"=>"1", "xml_views"=>"1", "html_views"=>"7"}
  • {"month"=>"11", "year"=>"2014", "pdf_views"=>"2", "xml_views"=>"2", "html_views"=>"26"}
  • {"month"=>"12", "year"=>"2014", "pdf_views"=>"2", "xml_views"=>"1", "html_views"=>"6"}
  • {"month"=>"1", "year"=>"2015", "pdf_views"=>"1", "xml_views"=>"0", "html_views"=>"8"}
  • {"month"=>"2", "year"=>"2015", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"6"}
  • {"month"=>"3", "year"=>"2015", "pdf_views"=>"4", "xml_views"=>"0", "html_views"=>"9"}
  • {"month"=>"4", "year"=>"2015", "pdf_views"=>"2", "xml_views"=>"1", "html_views"=>"9"}
  • {"month"=>"5", "year"=>"2015", "pdf_views"=>"4", "xml_views"=>"0", "html_views"=>"12"}
  • {"month"=>"6", "year"=>"2015", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"17"}
  • {"month"=>"7", "year"=>"2015", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"17"}
  • {"month"=>"8", "year"=>"2015", "pdf_views"=>"0", "xml_views"=>"2", "html_views"=>"5"}
  • {"month"=>"9", "year"=>"2015", "pdf_views"=>"5", "xml_views"=>"0", "html_views"=>"60"}
  • {"month"=>"10", "year"=>"2015", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"100"}
  • {"month"=>"11", "year"=>"2015", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"104"}
  • {"month"=>"12", "year"=>"2015", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"133"}
  • {"month"=>"1", "year"=>"2016", "pdf_views"=>"4", "xml_views"=>"0", "html_views"=>"114"}
  • {"month"=>"2", "year"=>"2016", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"28"}
  • {"month"=>"3", "year"=>"2016", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"98"}
  • {"month"=>"4", "year"=>"2016", "pdf_views"=>"8", "xml_views"=>"0", "html_views"=>"50"}
  • {"month"=>"5", "year"=>"2016", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"8"}
  • {"month"=>"6", "year"=>"2016", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"9"}
  • {"month"=>"7", "year"=>"2016", "pdf_views"=>"1", "xml_views"=>"0", "html_views"=>"7"}
  • {"month"=>"8", "year"=>"2016", "pdf_views"=>"5", "xml_views"=>"0", "html_views"=>"14"}
  • {"month"=>"9", "year"=>"2016", "pdf_views"=>"6", "xml_views"=>"0", "html_views"=>"20"}
  • {"month"=>"10", "year"=>"2016", "pdf_views"=>"9", "xml_views"=>"0", "html_views"=>"14"}
  • {"month"=>"11", "year"=>"2016", "pdf_views"=>"1", "xml_views"=>"0", "html_views"=>"14"}
  • {"month"=>"12", "year"=>"2016", "pdf_views"=>"6", "xml_views"=>"0", "html_views"=>"11"}
  • {"month"=>"1", "year"=>"2017", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"9"}
  • {"month"=>"2", "year"=>"2017", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"18"}
  • {"month"=>"3", "year"=>"2017", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"17"}
  • {"month"=>"4", "year"=>"2017", "pdf_views"=>"4", "xml_views"=>"0", "html_views"=>"21"}
  • {"month"=>"5", "year"=>"2017", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"19"}
  • {"month"=>"6", "year"=>"2017", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"13"}
  • {"month"=>"7", "year"=>"2017", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"14"}
  • {"month"=>"8", "year"=>"2017", "pdf_views"=>"0", "xml_views"=>"1", "html_views"=>"8"}
  • {"month"=>"9", "year"=>"2017", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"13"}
  • {"month"=>"10", "year"=>"2017", "pdf_views"=>"5", "xml_views"=>"2", "html_views"=>"18"}
  • {"month"=>"11", "year"=>"2017", "pdf_views"=>"2", "xml_views"=>"1", "html_views"=>"7"}
  • {"month"=>"12", "year"=>"2017", "pdf_views"=>"1", "xml_views"=>"1", "html_views"=>"9"}
  • {"month"=>"1", "year"=>"2018", "pdf_views"=>"1", "xml_views"=>"0", "html_views"=>"11"}
  • {"month"=>"2", "year"=>"2018", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"1"}
  • {"month"=>"3", "year"=>"2018", "pdf_views"=>"5", "xml_views"=>"0", "html_views"=>"7"}
  • {"month"=>"4", "year"=>"2018", "pdf_views"=>"1", "xml_views"=>"0", "html_views"=>"0"}
  • {"month"=>"5", "year"=>"2018", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"1"}
  • {"month"=>"6", "year"=>"2018", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"1"}
  • {"month"=>"7", "year"=>"2018", "pdf_views"=>"2", "xml_views"=>"3", "html_views"=>"2"}
  • {"month"=>"8", "year"=>"2018", "pdf_views"=>"2", "xml_views"=>"1", "html_views"=>"1"}
  • {"month"=>"9", "year"=>"2018", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"1"}
  • {"month"=>"10", "year"=>"2018", "pdf_views"=>"2", "xml_views"=>"4", "html_views"=>"2"}
  • {"month"=>"11", "year"=>"2018", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"1"}
  • {"month"=>"12", "year"=>"2018", "pdf_views"=>"0", "xml_views"=>"0", "html_views"=>"2"}
  • {"month"=>"1", "year"=>"2019", "pdf_views"=>"1", "xml_views"=>"0", "html_views"=>"2"}
  • {"month"=>"2", "year"=>"2019", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"1"}
  • {"month"=>"3", "year"=>"2019", "pdf_views"=>"5", "xml_views"=>"0", "html_views"=>"0"}
  • {"month"=>"4", "year"=>"2019", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"2"}
  • {"month"=>"5", "year"=>"2019", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"1"}
  • {"month"=>"6", "year"=>"2019", "pdf_views"=>"5", "xml_views"=>"0", "html_views"=>"1"}
  • {"month"=>"7", "year"=>"2019", "pdf_views"=>"7", "xml_views"=>"0", "html_views"=>"2"}
  • {"month"=>"8", "year"=>"2019", "pdf_views"=>"4", "xml_views"=>"0", "html_views"=>"0"}
  • {"month"=>"9", "year"=>"2019", "pdf_views"=>"5", "xml_views"=>"0", "html_views"=>"1"}
  • {"month"=>"10", "year"=>"2019", "pdf_views"=>"2", "xml_views"=>"0", "html_views"=>"2"}
  • {"month"=>"11", "year"=>"2019", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"1"}
  • {"month"=>"12", "year"=>"2019", "pdf_views"=>"6", "xml_views"=>"0", "html_views"=>"2"}
  • {"month"=>"1", "year"=>"2020", "pdf_views"=>"5", "xml_views"=>"1", "html_views"=>"2"}
  • {"month"=>"2", "year"=>"2020", "pdf_views"=>"6", "xml_views"=>"1", "html_views"=>"1"}
  • {"month"=>"3", "year"=>"2020", "pdf_views"=>"3", "xml_views"=>"0", "html_views"=>"0"}
  • {"month"=>"4", "year"=>"2020", "pdf_views"=>"1", "xml_views"=>"0", "html_views"=>"0"}

Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/853913"], "description"=>"<p>The ARMA model with smallest AIC/BIC turned out to be the AR(2) model.</p>", "links"=>[], "tags"=>["aic", "bic", "arma", "structures", "calculated", "varying", "sizes"], "article_id"=>524357, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.g005", "stats"=>{"downloads"=>2, "page_views"=>14, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_In_real_data_application_AIC_and_BIC_values_for_different_ARMA_structures_are_calculated_over_varying_number_of_cluster_sizes_/524357", "title"=>"In real data application, AIC and BIC values for different ARMA structures are calculated over varying number of cluster sizes ().", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2010-04-16 01:12:37"}
  • {"files"=>["https://ndownloader.figshare.com/files/853793"], "description"=>"<p>AIC and BIC selected three mean curves and the illustrated mean profiles are small compared with the variation of the data as drawn in the background.</p>", "links"=>[], "tags"=>["clustering", "was", "applied", "stationary", "covariance"], "article_id"=>524239, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.g004", "stats"=>{"downloads"=>0, "page_views"=>2, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Functional_clustering_was_applied_to_stationary_noise_following_an_AR_2_covariance_structure_/524239", "title"=>"Functional clustering was applied to stationary noise following an AR(2) covariance structure.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2010-04-16 01:10:39"}
  • {"files"=>["https://ndownloader.figshare.com/files/854431"], "description"=>"<p>Minimum AIC and BIC values, as well as the corresponding optimal number of clusters, over varying number of clusters for the ARMA(1,0), ARMA(1,1), and ARMA(2,0) covariance structures.</p>", "links"=>[], "tags"=>["aic", "bic", "corresponding", "optimal", "varying", "clusters", "covariance"], "article_id"=>524871, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.t007", "stats"=>{"downloads"=>1, "page_views"=>1, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Minimum_AIC_and_BIC_values_as_well_as_the_corresponding_optimal_number_of_clusters_over_varying_number_of_clusters_for_the_ARMA_1_0_ARMA_1_1_and_ARMA_2_0_covariance_structures_/524871", "title"=>"Minimum AIC and BIC values, as well as the corresponding optimal number of clusters, over varying number of clusters for the ARMA(1,0), ARMA(1,1), and ARMA(2,0) covariance structures.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2010-04-16 01:21:11"}
  • {"files"=>["https://ndownloader.figshare.com/files/854053"], "description"=>"<p>A gene is classified to the cluster if it has greater than a 90% probability of belonging to the cluster.</p>", "links"=>[], "tags"=>["curves", "clusters", "individually", "graphed", "time-course", "profiles", "genes", "classified"], "article_id"=>524494, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.g006", "stats"=>{"downloads"=>0, "page_views"=>2, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Mean_curves_for_each_of_the_9_clusters_identified_are_individually_graphed_together_with_time_course_gene_expression_profiles_of_genes_classified_to_the_cluster_/524494", "title"=>"Mean curves for each of the 9 clusters identified are individually graphed together with time-course gene expression profiles of genes classified to the cluster.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2010-04-16 01:14:54"}
  • {"files"=>["https://ndownloader.figshare.com/files/854199"], "description"=>"<p>Pie charts depict the distribution of biological process (bp), cellular component (cc), and molecular function (mf) in each of the clusters. The most prevalent GO category is indicated below the title with number of times it is present and a p-value computed from a hypergeometric test. The GO listed categories include (GO:0005634, “nucleus”; GO:0016021, “integral to membrane”; GO:0003677, “DNA binding”; GO:0005829, “cytosol”).</p>", "links"=>[], "tags"=>["clusters"], "article_id"=>524653, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.g007", "stats"=>{"downloads"=>1, "page_views"=>5, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_GO_analysis_of_seven_clusters_identified_in_the_real_data_analysis_/524653", "title"=>"GO analysis of seven clusters identified in the real data analysis.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2010-04-16 01:17:33"}
  • {"files"=>["https://ndownloader.figshare.com/files/854627"], "description"=>"<p>The effects of classification threshold on cluster sizes.</p>", "links"=>[], "tags"=>["classification"], "article_id"=>525077, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.t008", "stats"=>{"downloads"=>1, "page_views"=>2, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_effects_of_classification_threshold_on_cluster_sizes_/525077", "title"=>"The effects of classification threshold on cluster sizes.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2010-04-16 01:24:37"}
  • {"files"=>["https://ndownloader.figshare.com/files/854380"], "description"=>"<p>Effects of classification threshold on cluster sizes for the three cluster estimation on simulated noise.</p>", "links"=>[], "tags"=>["classification", "sizes", "estimation", "simulated"], "article_id"=>524827, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.t006", "stats"=>{"downloads"=>1, "page_views"=>2, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Effects_of_classification_threshold_on_cluster_sizes_for_the_three_cluster_estimation_on_simulated_noise_/524827", "title"=>"Effects of classification threshold on cluster sizes for the three cluster estimation on simulated noise.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2010-04-16 01:20:27"}
  • {"files"=>["https://ndownloader.figshare.com/files/853656"], "description"=>"<p>Estimated mean curves estimated from the simulated data with parameters (top) and (bottom).</p>", "links"=>[], "tags"=>["curves", "simulated", "parameters"], "article_id"=>524101, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.g003", "stats"=>{"downloads"=>1, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Estimated_mean_curves_estimated_from_the_simulated_data_with_parameters_top_and_bottom_/524101", "title"=>"Estimated mean curves estimated from the simulated data with parameters (top) and (bottom).", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2010-04-16 01:08:21"}
  • {"files"=>["https://ndownloader.figshare.com/files/424726"], "description"=>"<div><h3>Background</h3><p>Gene clustering of periodic transcriptional profiles provides an opportunity to shed light on a variety of biological processes, but this technique relies critically upon the robust modeling of longitudinal covariance structure over time.</p><h3>Methodology</h3><p>We propose a statistical method for functional clustering of periodic gene expression by modeling the covariance matrix of serial measurements through a general autoregressive moving-average process of order (,), the so-called ARMA(,). We derive a sophisticated EM algorithm to estimate the proportions of each gene cluster, the Fourier series parameters that define gene-specific differences in periodic expression trajectories, and the ARMA parameters that model the covariance structure within a mixture model framework. The orders and of the ARMA process that provide the best fit are identified by model selection criteria.</p><h3>Conclusions</h3><p>Through simulated data we show that whenever it is necessary, employment of sophisticated covariance structures such as ARMA is crucial in order to obtain unbiased estimates of the mean structure parameters and increased precision of estimation. The methods were implemented on recently published time-course gene expression data in yeast and the procedure was shown to effectively identify interesting periodic clusters in the dataset. The new approach will provide a powerful tool for understanding biological functions on a genomic scale.</p></div>", "links"=>[], "tags"=>["clustering", "periodic", "transcriptional", "profiles"], "article_id"=>143840, "categories"=>["Genetics", "Mathematics", "Cancer"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894", "stats"=>{"downloads"=>1, "page_views"=>7, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/Functional_Clustering_of_Periodic_Transcriptional_Profiles_through_ARMA_p_q_/143840", "title"=>"Functional Clustering of Periodic Transcriptional Profiles through ARMA(<em>p</em>,<em>q</em>)", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2010-04-16 01:04:00"}
  • {"files"=>["https://ndownloader.figshare.com/files/854589"], "description"=>"<p>Simulated averages and standard errors of parameter estimates using the ARMA(1,1) model when the true covariance structure is ARMA(2,2) (No. simulations = 200).</p>", "links"=>[], "tags"=>["averages", "errors", "parameter", "estimates", "covariance"], "article_id"=>525030, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.t003", "stats"=>{"downloads"=>0, "page_views"=>0, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Simulated_averages_and_standard_errors_of_parameter_estimates_using_the_ARMA_1_1_model_when_the_true_covariance_structure_is_ARMA_2_2_No_simulations_8202_8202_200_/525030", "title"=>"Simulated averages and standard errors of parameter estimates using the ARMA(1,1) model when the true covariance structure is ARMA(2,2) (No. simulations = 200).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2010-04-16 01:23:50"}
  • {"files"=>["https://ndownloader.figshare.com/files/853442"], "description"=>"<p>In the first simulation study, AIC and BIC values calculated using a simulated dataset whose true covariance structure is ARMA (1,1) to identify the optimal covariance structure to be used.</p>", "links"=>[], "tags"=>["simulation", "aic", "bic", "calculated", "simulated", "dataset", "covariance", "arma", "optimal"], "article_id"=>523879, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.g001", "stats"=>{"downloads"=>1, "page_views"=>9, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_In_the_first_simulation_study_AIC_and_BIC_values_calculated_using_a_simulated_dataset_whose_true_covariance_structure_is_ARMA_1_1_to_identify_the_optimal_covariance_structure_to_be_used_/523879", "title"=>"In the first simulation study, AIC and BIC values calculated using a simulated dataset whose true covariance structure is ARMA (1,1) to identify the optimal covariance structure to be used.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2010-04-16 01:04:39"}
  • {"files"=>["https://ndownloader.figshare.com/files/854291"], "description"=>"<p>Simulated averages and standard errors of parameter estimates using the ARMA(1,0) model when the true covariance structure is ARMA(2,2) (No. simulations = 200).</p>", "links"=>[], "tags"=>["averages", "errors", "parameter", "estimates", "covariance"], "article_id"=>524732, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.t004", "stats"=>{"downloads"=>0, "page_views"=>1, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Simulated_averages_and_standard_errors_of_parameter_estimates_using_the_ARMA_1_0_model_when_the_true_covariance_structure_is_ARMA_2_2_No_simulations_8202_8202_200_/524732", "title"=>"Simulated averages and standard errors of parameter estimates using the ARMA(1,0) model when the true covariance structure is ARMA(2,2) (No. simulations = 200).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2010-04-16 01:18:52"}
  • {"files"=>["https://ndownloader.figshare.com/files/854332"], "description"=>"<p>Simulated averages and standard errors of parameter estimates using the ARMA(2,2) model when the true covariance structure is ARMA(1,0) (No. simulations = 200).</p>", "links"=>[], "tags"=>["averages", "errors", "parameter", "estimates", "covariance"], "article_id"=>524781, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.t005", "stats"=>{"downloads"=>1, "page_views"=>2, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Simulated_averages_and_standard_errors_of_parameter_estimates_using_the_ARMA_2_2_model_when_the_true_covariance_structure_is_ARMA_1_0_No_simulations_8202_8202_200_/524781", "title"=>"Simulated averages and standard errors of parameter estimates using the ARMA(2,2) model when the true covariance structure is ARMA(1,0) (No. simulations = 200).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2010-04-16 01:19:41"}
  • {"files"=>["https://ndownloader.figshare.com/files/854535"], "description"=>"<p>Simulated averages and standard errors of parameter estimates using the ARMA(2,1) model when the true covariance structure is ARMA(2,2) (No. simulations = 200).</p>", "links"=>[], "tags"=>["averages", "errors", "parameter", "estimates", "covariance"], "article_id"=>524978, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.t002", "stats"=>{"downloads"=>1, "page_views"=>3, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Simulated_averages_and_standard_errors_of_parameter_estimates_using_the_ARMA_2_1_model_when_the_true_covariance_structure_is_ARMA_2_2_No_simulations_8202_8202_200_/524978", "title"=>"Simulated averages and standard errors of parameter estimates using the ARMA(2,1) model when the true covariance structure is ARMA(2,2) (No. simulations = 200).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2010-04-16 01:22:58"}
  • {"files"=>["https://ndownloader.figshare.com/files/854676"], "description"=>"<p>The names of the genes and their original aliases in clusters 3 and 4.</p>", "links"=>[], "tags"=>["names", "genes", "aliases", "clusters"], "article_id"=>525125, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.t009", "stats"=>{"downloads"=>1, "page_views"=>5, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_names_of_the_genes_and_their_original_aliases_in_clusters_3_and_4_/525125", "title"=>"The names of the genes and their original aliases in clusters 3 and 4.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2010-04-16 01:25:25"}
  • {"files"=>["https://ndownloader.figshare.com/files/854491"], "description"=>"<p>Simulated averages and standard errors of parameter estimates using the ARMA(2,2) model when the true covariance structure is ARMA(2,2) (No. simulations = 200).</p>", "links"=>[], "tags"=>["averages", "errors", "parameter", "estimates", "covariance"], "article_id"=>524924, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.t001", "stats"=>{"downloads"=>0, "page_views"=>2, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Simulated_averages_and_standard_errors_of_parameter_estimates_using_the_ARMA_2_2_model_when_the_true_covariance_structure_is_ARMA_2_2_No_simulations_8202_8202_200_/524924", "title"=>"Simulated averages and standard errors of parameter estimates using the ARMA(2,2) model when the true covariance structure is ARMA(2,2) (No. simulations = 200).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2010-04-16 01:22:04"}
  • {"files"=>["https://ndownloader.figshare.com/files/853528"], "description"=>"<p>Simulations were performed using time-course expression data with 40 time points and 100 genes per cluster simulated from eight mean curves graphed here.</p>", "links"=>[], "tags"=>["performed", "time-course", "40", "points", "100", "genes", "simulated", "curves", "graphed"], "article_id"=>523967, "categories"=>["Genetics", "Mathematics", "Infectious Diseases"], "users"=>["Ning Li", "Timothy McMurry", "Arthur Berg", "Zhong Wang", "Scott A. Berceli", "Rongling Wu"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0009894.g002", "stats"=>{"downloads"=>1, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Simulations_were_performed_using_time_course_expression_data_with_40_time_points_and_100_genes_per_cluster_simulated_from_eight_mean_curves_graphed_here_/523967", "title"=>"Simulations were performed using time-course expression data with 40 time points and 100 genes per cluster simulated from eight mean curves graphed here.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2010-04-16 01:06:07"}

PMC Usage Stats | Further Information

  • {"month"=>"4", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"1", "year"=>"2010", "pdf"=>"0", "unique-ip"=>"1", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"scanned-page-browse"=>"0", "month"=>"5", "cited-by"=>"0", "abstract"=>"1", "full-text"=>"9", "unique-ip"=>"9", "pdf"=>"5", "year"=>"2010", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"6", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"10", "year"=>"2010", "pdf"=>"4", "unique-ip"=>"9", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"scanned-page-browse"=>"0", "month"=>"7", "cited-by"=>"0", "abstract"=>"1", "full-text"=>"10", "unique-ip"=>"9", "pdf"=>"5", "year"=>"2010", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"8", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"14", "year"=>"2010", "pdf"=>"4", "unique-ip"=>"9", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"scanned-page-browse"=>"0", "month"=>"9", "cited-by"=>"0", "abstract"=>"1", "full-text"=>"3", "unique-ip"=>"5", "pdf"=>"2", "year"=>"2010", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"10", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"1", "full-text"=>"2", "year"=>"2010", "pdf"=>"0", "unique-ip"=>"3", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"scanned-page-browse"=>"0", "month"=>"11", "cited-by"=>"0", "abstract"=>"1", "full-text"=>"2", "unique-ip"=>"4", "pdf"=>"1", "year"=>"2010", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"12", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"2", "full-text"=>"3", "year"=>"2010", "pdf"=>"1", "unique-ip"=>"4", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"scanned-page-browse"=>"0", "month"=>"2", "cited-by"=>"0", "abstract"=>"1", "full-text"=>"5", "unique-ip"=>"6", "pdf"=>"0", "year"=>"2011", "figure"=>"5", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"3", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"5", "year"=>"2011", "pdf"=>"2", "unique-ip"=>"4", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"1"}
  • {"scanned-page-browse"=>"0", "month"=>"4", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"5", "unique-ip"=>"5", "pdf"=>"0", "year"=>"2011", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"5", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"1", "full-text"=>"3", "year"=>"2011", "pdf"=>"2", "unique-ip"=>"4", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"scanned-page-browse"=>"0", "month"=>"6", "cited-by"=>"0", "abstract"=>"2", "full-text"=>"4", "unique-ip"=>"6", "pdf"=>"2", "year"=>"2011", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"7", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"2", "full-text"=>"2", "year"=>"2011", "pdf"=>"0", "unique-ip"=>"4", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"scanned-page-browse"=>"0", "month"=>"9", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"1", "unique-ip"=>"1", "pdf"=>"1", "year"=>"2011", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"10", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"1", "full-text"=>"2", "year"=>"2011", "pdf"=>"2", "unique-ip"=>"3", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"scanned-page-browse"=>"0", "month"=>"11", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"2", "unique-ip"=>"1", "pdf"=>"1", "year"=>"2011", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"12", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"1", "full-text"=>"0", "year"=>"2011", "pdf"=>"0", "unique-ip"=>"1", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"scanned-page-browse"=>"0", "month"=>"1", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"1", "unique-ip"=>"1", "pdf"=>"0", "year"=>"2012", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"2", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"4", "year"=>"2012", "pdf"=>"0", "unique-ip"=>"4", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"scanned-page-browse"=>"0", "month"=>"3", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"7", "unique-ip"=>"7", "pdf"=>"4", "year"=>"2012", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"4", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"2", "year"=>"2012", "pdf"=>"0", "unique-ip"=>"2", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"scanned-page-browse"=>"0", "month"=>"5", "cited-by"=>"0", "abstract"=>"2", "full-text"=>"1", "unique-ip"=>"2", "pdf"=>"3", "year"=>"2012", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"month"=>"6", "scanned-page-browse"=>"0", "cited-by"=>"0", "abstract"=>"0", "full-text"=>"1", "year"=>"2012", "pdf"=>"0", "unique-ip"=>"1", "figure"=>"0", "scanned-summary"=>"0", "supp-data"=>"0"}
  • {"unique-ip"=>"2", "full-text"=>"3", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2012", "month"=>"7"}
  • {"unique-ip"=>"3", "full-text"=>"4", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2012", "month"=>"8"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2012", "month"=>"9"}
  • {"unique-ip"=>"2", "full-text"=>"2", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2012", "month"=>"10"}
  • {"unique-ip"=>"2", "full-text"=>"2", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"1", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2012", "month"=>"12"}
  • {"unique-ip"=>"2", "full-text"=>"2", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2013", "month"=>"1"}
  • {"unique-ip"=>"3", "full-text"=>"3", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2013", "month"=>"3"}
  • {"unique-ip"=>"9", "full-text"=>"10", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2013", "month"=>"2"}
  • {"unique-ip"=>"60", "full-text"=>"74", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2013", "month"=>"4"}
  • {"unique-ip"=>"5", "full-text"=>"5", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2012", "month"=>"11"}
  • {"unique-ip"=>"8", "full-text"=>"10", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2013", "month"=>"5"}
  • {"unique-ip"=>"7", "full-text"=>"4", "pdf"=>"6", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2013", "month"=>"6"}
  • {"unique-ip"=>"2", "full-text"=>"2", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2013", "month"=>"7"}
  • {"unique-ip"=>"4", "full-text"=>"3", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2013", "month"=>"9"}
  • {"unique-ip"=>"3", "full-text"=>"2", "pdf"=>"3", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2013", "month"=>"10"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2013", "month"=>"11"}
  • {"unique-ip"=>"2", "full-text"=>"2", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"1", "year"=>"2014", "month"=>"1"}
  • {"unique-ip"=>"1", "full-text"=>"2", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"1", "year"=>"2014", "month"=>"2"}
  • {"unique-ip"=>"6", "full-text"=>"3", "pdf"=>"5", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2014", "month"=>"3"}
  • {"unique-ip"=>"4", "full-text"=>"3", "pdf"=>"4", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2014", "month"=>"5"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2014", "month"=>"6"}
  • {"unique-ip"=>"1", "full-text"=>"0", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2014", "month"=>"4"}
  • {"unique-ip"=>"8", "full-text"=>"8", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2015", "month"=>"4"}
  • {"unique-ip"=>"6", "full-text"=>"8", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2015", "month"=>"5"}
  • {"unique-ip"=>"8", "full-text"=>"8", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2015", "month"=>"6"}
  • {"unique-ip"=>"4", "full-text"=>"5", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"2", "cited-by"=>"0", "year"=>"2015", "month"=>"7"}
  • {"unique-ip"=>"5", "full-text"=>"5", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2015", "month"=>"3"}
  • {"unique-ip"=>"5", "full-text"=>"3", "pdf"=>"3", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2015", "month"=>"2"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2015", "month"=>"8"}
  • {"unique-ip"=>"4", "full-text"=>"4", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2015", "month"=>"9"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2015", "month"=>"10"}
  • {"unique-ip"=>"12", "full-text"=>"10", "pdf"=>"2", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2014", "month"=>"7"}
  • {"unique-ip"=>"7", "full-text"=>"1", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"1", "supp-data"=>"0", "cited-by"=>"2", "year"=>"2014", "month"=>"8"}
  • {"unique-ip"=>"6", "full-text"=>"0", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"2", "supp-data"=>"0", "cited-by"=>"1", "year"=>"2014", "month"=>"9"}
  • {"unique-ip"=>"10", "full-text"=>"9", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"3", "supp-data"=>"1", "cited-by"=>"2", "year"=>"2014", "month"=>"10"}
  • {"unique-ip"=>"3", "full-text"=>"3", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2016", "month"=>"2"}
  • {"unique-ip"=>"11", "full-text"=>"6", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"1", "cited-by"=>"0", "year"=>"2014", "month"=>"11"}
  • {"unique-ip"=>"4", "full-text"=>"2", "pdf"=>"2", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2014", "month"=>"12"}
  • {"unique-ip"=>"7", "full-text"=>"4", "pdf"=>"5", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2015", "month"=>"1"}
  • {"unique-ip"=>"5", "full-text"=>"4", "pdf"=>"4", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"1", "year"=>"2015", "month"=>"11"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2016", "month"=>"1"}
  • {"unique-ip"=>"3", "full-text"=>"2", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2016", "month"=>"3"}
  • {"unique-ip"=>"4", "full-text"=>"3", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"1", "year"=>"2016", "month"=>"4"}
  • {"unique-ip"=>"1", "full-text"=>"0", "pdf"=>"2", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2016", "month"=>"5"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2016", "month"=>"7"}
  • {"unique-ip"=>"2", "full-text"=>"2", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2016", "month"=>"9"}
  • {"unique-ip"=>"4", "full-text"=>"2", "pdf"=>"2", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2016", "month"=>"10"}
  • {"unique-ip"=>"3", "full-text"=>"4", "pdf"=>"2", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"1", "cited-by"=>"0", "year"=>"2016", "month"=>"11"}
  • {"unique-ip"=>"3", "full-text"=>"3", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2016", "month"=>"12"}
  • {"unique-ip"=>"12", "full-text"=>"2", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"1", "year"=>"2017", "month"=>"1"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2017", "month"=>"2"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"2", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2017", "month"=>"3"}
  • {"unique-ip"=>"2", "full-text"=>"2", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2017", "month"=>"5"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"4", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2017", "month"=>"7"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2017", "month"=>"8"}
  • {"unique-ip"=>"1", "full-text"=>"0", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2017", "month"=>"9"}
  • {"unique-ip"=>"4", "full-text"=>"3", "pdf"=>"0", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"2", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2017", "month"=>"10"}
  • {"unique-ip"=>"4", "full-text"=>"3", "pdf"=>"1", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2017", "month"=>"11"}
  • {"unique-ip"=>"3", "full-text"=>"3", "pdf"=>"2", "abstract"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2018", "month"=>"3"}
  • {"unique-ip"=>"6", "full-text"=>"5", "pdf"=>"1", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"1"}
  • {"unique-ip"=>"8", "full-text"=>"7", "pdf"=>"1", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2018", "month"=>"5"}
  • {"unique-ip"=>"7", "full-text"=>"6", "pdf"=>"3", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"2", "cited-by"=>"0", "year"=>"2018", "month"=>"7"}
  • {"unique-ip"=>"4", "full-text"=>"3", "pdf"=>"1", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2018", "month"=>"8"}
  • {"unique-ip"=>"24", "full-text"=>"2", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2018", "month"=>"10"}
  • {"unique-ip"=>"10", "full-text"=>"11", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2018", "month"=>"12"}
  • {"unique-ip"=>"9", "full-text"=>"8", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"1", "cited-by"=>"0", "year"=>"2018", "month"=>"11"}
  • {"unique-ip"=>"8", "full-text"=>"10", "pdf"=>"2", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"2"}
  • {"unique-ip"=>"1", "full-text"=>"1", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"3"}
  • {"unique-ip"=>"4", "full-text"=>"5", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"5"}
  • {"unique-ip"=>"2", "full-text"=>"2", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"8"}
  • {"unique-ip"=>"3", "full-text"=>"1", "pdf"=>"2", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"9"}
  • {"unique-ip"=>"9", "full-text"=>"8", "pdf"=>"2", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"1", "cited-by"=>"0", "year"=>"2019", "month"=>"10"}
  • {"unique-ip"=>"4", "full-text"=>"1", "pdf"=>"2", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2019", "month"=>"12"}
  • {"unique-ip"=>"7", "full-text"=>"6", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"1", "cited-by"=>"0", "year"=>"2020", "month"=>"2"}

Relative Metric

{"start_date"=>"2010-01-01T00:00:00Z", "end_date"=>"2010-12-31T00:00:00Z", "subject_areas"=>[{"subject_area"=>"/Biology and life sciences", "average_usage"=>[288, 576, 733, 867, 984, 1087, 1182, 1267, 1346, 1424, 1501, 1577, 1646, 1711, 1778, 1841, 1908, 1970, 2034, 2102, 2162, 2227, 2296, 2359, 2422, 2482, 2550, 2610, 2679, 2747, 2820, 2887, 2955, 3009, 3067, 3130, 3200, 3257, 3322, 3379, 3443, 3507, 3571, 3632, 3683, 3753, 3822, 3877]}, {"subject_area"=>"/Biology and life sciences/Computational biology", "average_usage"=>[334, 662, 847, 1004, 1136, 1245, 1346, 1439, 1513, 1595, 1657, 1726, 1787, 1853, 1905, 1972, 2049, 2112, 2182, 2254, 2335, 2411, 2473, 2537, 2587, 2662, 2729, 2786, 2849, 2932, 2997, 3055, 3122, 3190, 3270, 3331, 3398, 3472, 3534, 3611, 3684, 3766, 3814, 3865, 3909, 3956, 4011, 4073, 4112]}, {"subject_area"=>"/Computer and information sciences", "average_usage"=>[375, 666, 837, 949, 1062, 1171, 1233, 1318, 1399, 1470, 1550, 1608, 1701, 1771, 1835, 1908, 1973, 2046, 2091, 2160, 2220, 2285, 2359, 2455, 2537, 2610, 2687, 2778, 2836, 2908, 2974, 3021, 3082, 3169, 3224, 3300, 3382, 3469, 3550, 3640, 3728, 3765, 3814, 3858, 3915, 3952, 3991, 4067, 4107]}, {"subject_area"=>"/Physical sciences/Mathematics", "average_usage"=>[314, 590, 728, 851, 953, 1050, 1127, 1206, 1276, 1336, 1390, 1451, 1504, 1569, 1619, 1674, 1732, 1792, 1851, 1900, 1959, 2004, 2076, 2126, 2182, 2239, 2292, 2353, 2427, 2522, 2595, 2676, 2735, 2785, 2836, 2893, 2943, 2993, 3041, 3097, 3160, 3214, 3251, 3299, 3357, 3428, 3482, 3515, 3555]}]}
Loading … Spinner
There are currently no alerts