PMC:7039910 / 21106-22741 JSONTXT

{"project":"LitCovid-PubTator","denotations":[{"id":"257","span":{"begin":557,"end":558},"obj":"Gene"},{"id":"258","span":{"begin":572,"end":573},"obj":"Gene"},{"id":"259","span":{"begin":202,"end":207},"obj":"Disease"},{"id":"260","span":{"begin":251,"end":257},"obj":"Disease"},{"id":"261","span":{"begin":383,"end":391},"obj":"Disease"},{"id":"262","span":{"begin":648,"end":656},"obj":"Disease"},{"id":"263","span":{"begin":1493,"end":1502},"obj":"Disease"}],"attributes":[{"id":"A257","pred":"tao:has_database_id","subj":"257","obj":"Gene:43740575"},{"id":"A258","pred":"tao:has_database_id","subj":"258","obj":"Gene:43740575"},{"id":"A259","pred":"tao:has_database_id","subj":"259","obj":"MESH:D003643"},{"id":"A260","pred":"tao:has_database_id","subj":"260","obj":"MESH:D003643"},{"id":"A261","pred":"tao:has_database_id","subj":"261","obj":"MESH:D007239"},{"id":"A262","pred":"tao:has_database_id","subj":"262","obj":"MESH:D007239"},{"id":"A263","pred":"tao:has_database_id","subj":"263","obj":"MESH:D007239"}],"namespaces":[{"prefix":"Tax","uri":"https://www.ncbi.nlm.nih.gov/taxonomy/"},{"prefix":"MESH","uri":"https://id.nlm.nih.gov/mesh/"},{"prefix":"Gene","uri":"https://www.ncbi.nlm.nih.gov/gene/"},{"prefix":"CVCL","uri":"https://web.expasy.org/cellosaurus/CVCL_"}],"text":"We assumed no new transmissions from animals, no differences in individual immunity, the time-scale of the epidemic is much faster than characteristic times for demographic processes (natural birth and death), and no differences in natural births and deaths. In this model, individuals are classified into four types: susceptible (S; at risk of contracting the disease), exposed (E; infected but not yet infectious), infectious (I; capable of transmitting the disease), and removed (R; those who recover or die from the disease). The total population size (N) is given by N = S + E + I + R. It is assumed that susceptible individuals who have been infected first enter a latent (exposed) stage, during which they may have a low level of infectivity. The differential equations of the SEIR model are given as:32,33\\documentclass[12pt]{minimal} \t\t\t\t\\usepackage{amsmath} \t\t\t\t\\usepackage{wasysym} \t\t\t\t\\usepackage{amsfonts} \t\t\t\t\\usepackage{amssymb} \t\t\t\t\\usepackage{amsbsy} \t\t\t\t\\usepackage{mathrsfs} \t\t\t\t\\usepackage{upgreek} \t\t\t\t\\setlength{\\oddsidemargin}{-69pt} \t\t\t\t\\begin{document}$$\\begin{array}{l}{\\mathrm{d}}S/{\\mathrm{d}}t = - {\\beta}\\,{S}\\,{I}/{N},\\\\ {\\mathrm{d}}E/{\\mathrm{d}}t = {\\beta}\\,{S}\\,{I}/{N} - {\\sigma}\\,{E},\\\\ {\\mathrm{d}}I/{\\mathrm{d}}t = {\\sigma}\\,{E} - {\\gamma}\\,{I},\\\\ {\\mathrm{d}}R/{\\mathrm{d}}t = {\\gamma}\\,{I},\\\\ {\\beta} = {R}_{\\mathrm{0}}{\\gamma},\\end{array}$$\\end{document}dS∕dt=−βSI∕N,dE∕dt=βSI∕N−σE,dI∕dt=σE−γI,dR∕dt=γI,β=R0γ,where β is the transmission rate, σ is the infection rate calculated by the inverse of the mean latent period, and γ is the recovery rate calculated by the inverse of infectious period."}

{"project":"LitCovid-PD-UBERON","denotations":[{"id":"T5","span":{"begin":94,"end":99},"obj":"Body_part"}],"attributes":[{"id":"A5","pred":"uberon_id","subj":"T5","obj":"http://purl.obolibrary.org/obo/UBERON_0002542"}],"text":"We assumed no new transmissions from animals, no differences in individual immunity, the time-scale of the epidemic is much faster than characteristic times for demographic processes (natural birth and death), and no differences in natural births and deaths. In this model, individuals are classified into four types: susceptible (S; at risk of contracting the disease), exposed (E; infected but not yet infectious), infectious (I; capable of transmitting the disease), and removed (R; those who recover or die from the disease). The total population size (N) is given by N = S + E + I + R. It is assumed that susceptible individuals who have been infected first enter a latent (exposed) stage, during which they may have a low level of infectivity. The differential equations of the SEIR model are given as:32,33\\documentclass[12pt]{minimal} \t\t\t\t\\usepackage{amsmath} \t\t\t\t\\usepackage{wasysym} \t\t\t\t\\usepackage{amsfonts} \t\t\t\t\\usepackage{amssymb} \t\t\t\t\\usepackage{amsbsy} \t\t\t\t\\usepackage{mathrsfs} \t\t\t\t\\usepackage{upgreek} \t\t\t\t\\setlength{\\oddsidemargin}{-69pt} \t\t\t\t\\begin{document}$$\\begin{array}{l}{\\mathrm{d}}S/{\\mathrm{d}}t = - {\\beta}\\,{S}\\,{I}/{N},\\\\ {\\mathrm{d}}E/{\\mathrm{d}}t = {\\beta}\\,{S}\\,{I}/{N} - {\\sigma}\\,{E},\\\\ {\\mathrm{d}}I/{\\mathrm{d}}t = {\\sigma}\\,{E} - {\\gamma}\\,{I},\\\\ {\\mathrm{d}}R/{\\mathrm{d}}t = {\\gamma}\\,{I},\\\\ {\\beta} = {R}_{\\mathrm{0}}{\\gamma},\\end{array}$$\\end{document}dS∕dt=−βSI∕N,dE∕dt=βSI∕N−σE,dI∕dt=σE−γI,dR∕dt=γI,β=R0γ,where β is the transmission rate, σ is the infection rate calculated by the inverse of the mean latent period, and γ is the recovery rate calculated by the inverse of infectious period."}

{"project":"LitCovid-PD-MONDO","denotations":[{"id":"T79","span":{"begin":404,"end":414},"obj":"Disease"},{"id":"T80","span":{"begin":417,"end":427},"obj":"Disease"},{"id":"T81","span":{"begin":1403,"end":1407},"obj":"Disease"},{"id":"T82","span":{"begin":1415,"end":1419},"obj":"Disease"},{"id":"T83","span":{"begin":1493,"end":1502},"obj":"Disease"},{"id":"T84","span":{"begin":1617,"end":1627},"obj":"Disease"}],"attributes":[{"id":"A79","pred":"mondo_id","subj":"T79","obj":"http://purl.obolibrary.org/obo/MONDO_0005550"},{"id":"A80","pred":"mondo_id","subj":"T80","obj":"http://purl.obolibrary.org/obo/MONDO_0005550"},{"id":"A81","pred":"mondo_id","subj":"T81","obj":"http://purl.obolibrary.org/obo/MONDO_0024475"},{"id":"A82","pred":"mondo_id","subj":"T82","obj":"http://purl.obolibrary.org/obo/MONDO_0024475"},{"id":"A83","pred":"mondo_id","subj":"T83","obj":"http://purl.obolibrary.org/obo/MONDO_0005550"},{"id":"A84","pred":"mondo_id","subj":"T84","obj":"http://purl.obolibrary.org/obo/MONDO_0005550"}],"text":"We assumed no new transmissions from animals, no differences in individual immunity, the time-scale of the epidemic is much faster than characteristic times for demographic processes (natural birth and death), and no differences in natural births and deaths. In this model, individuals are classified into four types: susceptible (S; at risk of contracting the disease), exposed (E; infected but not yet infectious), infectious (I; capable of transmitting the disease), and removed (R; those who recover or die from the disease). The total population size (N) is given by N = S + E + I + R. It is assumed that susceptible individuals who have been infected first enter a latent (exposed) stage, during which they may have a low level of infectivity. The differential equations of the SEIR model are given as:32,33\\documentclass[12pt]{minimal} \t\t\t\t\\usepackage{amsmath} \t\t\t\t\\usepackage{wasysym} \t\t\t\t\\usepackage{amsfonts} \t\t\t\t\\usepackage{amssymb} \t\t\t\t\\usepackage{amsbsy} \t\t\t\t\\usepackage{mathrsfs} \t\t\t\t\\usepackage{upgreek} \t\t\t\t\\setlength{\\oddsidemargin}{-69pt} \t\t\t\t\\begin{document}$$\\begin{array}{l}{\\mathrm{d}}S/{\\mathrm{d}}t = - {\\beta}\\,{S}\\,{I}/{N},\\\\ {\\mathrm{d}}E/{\\mathrm{d}}t = {\\beta}\\,{S}\\,{I}/{N} - {\\sigma}\\,{E},\\\\ {\\mathrm{d}}I/{\\mathrm{d}}t = {\\sigma}\\,{E} - {\\gamma}\\,{I},\\\\ {\\mathrm{d}}R/{\\mathrm{d}}t = {\\gamma}\\,{I},\\\\ {\\beta} = {R}_{\\mathrm{0}}{\\gamma},\\end{array}$$\\end{document}dS∕dt=−βSI∕N,dE∕dt=βSI∕N−σE,dI∕dt=σE−γI,dR∕dt=γI,β=R0γ,where β is the transmission rate, σ is the infection rate calculated by the inverse of the mean latent period, and γ is the recovery rate calculated by the inverse of infectious period."}

{"project":"LitCovid-PD-CLO","denotations":[{"id":"T74","span":{"begin":37,"end":44},"obj":"http://purl.obolibrary.org/obo/NCBITaxon_33208"},{"id":"T75","span":{"begin":669,"end":670},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T76","span":{"begin":722,"end":723},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T77","span":{"begin":1406,"end":1410},"obj":"http://purl.obolibrary.org/obo/CLO_0008147"}],"text":"We assumed no new transmissions from animals, no differences in individual immunity, the time-scale of the epidemic is much faster than characteristic times for demographic processes (natural birth and death), and no differences in natural births and deaths. In this model, individuals are classified into four types: susceptible (S; at risk of contracting the disease), exposed (E; infected but not yet infectious), infectious (I; capable of transmitting the disease), and removed (R; those who recover or die from the disease). The total population size (N) is given by N = S + E + I + R. It is assumed that susceptible individuals who have been infected first enter a latent (exposed) stage, during which they may have a low level of infectivity. The differential equations of the SEIR model are given as:32,33\\documentclass[12pt]{minimal} \t\t\t\t\\usepackage{amsmath} \t\t\t\t\\usepackage{wasysym} \t\t\t\t\\usepackage{amsfonts} \t\t\t\t\\usepackage{amssymb} \t\t\t\t\\usepackage{amsbsy} \t\t\t\t\\usepackage{mathrsfs} \t\t\t\t\\usepackage{upgreek} \t\t\t\t\\setlength{\\oddsidemargin}{-69pt} \t\t\t\t\\begin{document}$$\\begin{array}{l}{\\mathrm{d}}S/{\\mathrm{d}}t = - {\\beta}\\,{S}\\,{I}/{N},\\\\ {\\mathrm{d}}E/{\\mathrm{d}}t = {\\beta}\\,{S}\\,{I}/{N} - {\\sigma}\\,{E},\\\\ {\\mathrm{d}}I/{\\mathrm{d}}t = {\\sigma}\\,{E} - {\\gamma}\\,{I},\\\\ {\\mathrm{d}}R/{\\mathrm{d}}t = {\\gamma}\\,{I},\\\\ {\\beta} = {R}_{\\mathrm{0}}{\\gamma},\\end{array}$$\\end{document}dS∕dt=−βSI∕N,dE∕dt=βSI∕N−σE,dI∕dt=σE−γI,dR∕dt=γI,β=R0γ,where β is the transmission rate, σ is the infection rate calculated by the inverse of the mean latent period, and γ is the recovery rate calculated by the inverse of infectious period."}

{"project":"LitCovid-PD-CHEBI","denotations":[{"id":"T7","span":{"begin":1129,"end":1133},"obj":"Chemical"},{"id":"T8","span":{"begin":1184,"end":1188},"obj":"Chemical"},{"id":"T9","span":{"begin":1271,"end":1276},"obj":"Chemical"},{"id":"T10","span":{"begin":1318,"end":1323},"obj":"Chemical"},{"id":"T11","span":{"begin":1335,"end":1339},"obj":"Chemical"},{"id":"T12","span":{"begin":1361,"end":1366},"obj":"Chemical"},{"id":"T13","span":{"begin":1403,"end":1405},"obj":"Chemical"},{"id":"T14","span":{"begin":1415,"end":1417},"obj":"Chemical"}],"attributes":[{"id":"A7","pred":"chebi_id","subj":"T7","obj":"http://purl.obolibrary.org/obo/CHEBI_10545"},{"id":"A8","pred":"chebi_id","subj":"T8","obj":"http://purl.obolibrary.org/obo/CHEBI_10545"},{"id":"A9","pred":"chebi_id","subj":"T9","obj":"http://purl.obolibrary.org/obo/CHEBI_30212"},{"id":"A10","pred":"chebi_id","subj":"T10","obj":"http://purl.obolibrary.org/obo/CHEBI_30212"},{"id":"A11","pred":"chebi_id","subj":"T11","obj":"http://purl.obolibrary.org/obo/CHEBI_10545"},{"id":"A12","pred":"chebi_id","subj":"T12","obj":"http://purl.obolibrary.org/obo/CHEBI_30212"},{"id":"A13","pred":"chebi_id","subj":"T13","obj":"http://purl.obolibrary.org/obo/CHEBI_90326"},{"id":"A14","pred":"chebi_id","subj":"T14","obj":"http://purl.obolibrary.org/obo/CHEBI_90326"}],"text":"We assumed no new transmissions from animals, no differences in individual immunity, the time-scale of the epidemic is much faster than characteristic times for demographic processes (natural birth and death), and no differences in natural births and deaths. In this model, individuals are classified into four types: susceptible (S; at risk of contracting the disease), exposed (E; infected but not yet infectious), infectious (I; capable of transmitting the disease), and removed (R; those who recover or die from the disease). The total population size (N) is given by N = S + E + I + R. It is assumed that susceptible individuals who have been infected first enter a latent (exposed) stage, during which they may have a low level of infectivity. The differential equations of the SEIR model are given as:32,33\\documentclass[12pt]{minimal} \t\t\t\t\\usepackage{amsmath} \t\t\t\t\\usepackage{wasysym} \t\t\t\t\\usepackage{amsfonts} \t\t\t\t\\usepackage{amssymb} \t\t\t\t\\usepackage{amsbsy} \t\t\t\t\\usepackage{mathrsfs} \t\t\t\t\\usepackage{upgreek} \t\t\t\t\\setlength{\\oddsidemargin}{-69pt} \t\t\t\t\\begin{document}$$\\begin{array}{l}{\\mathrm{d}}S/{\\mathrm{d}}t = - {\\beta}\\,{S}\\,{I}/{N},\\\\ {\\mathrm{d}}E/{\\mathrm{d}}t = {\\beta}\\,{S}\\,{I}/{N} - {\\sigma}\\,{E},\\\\ {\\mathrm{d}}I/{\\mathrm{d}}t = {\\sigma}\\,{E} - {\\gamma}\\,{I},\\\\ {\\mathrm{d}}R/{\\mathrm{d}}t = {\\gamma}\\,{I},\\\\ {\\beta} = {R}_{\\mathrm{0}}{\\gamma},\\end{array}$$\\end{document}dS∕dt=−βSI∕N,dE∕dt=βSI∕N−σE,dI∕dt=σE−γI,dR∕dt=γI,β=R0γ,where β is the transmission rate, σ is the infection rate calculated by the inverse of the mean latent period, and γ is the recovery rate calculated by the inverse of infectious period."}

{"project":"LitCovid-sentences","denotations":[{"id":"T148","span":{"begin":0,"end":258},"obj":"Sentence"},{"id":"T149","span":{"begin":259,"end":529},"obj":"Sentence"},{"id":"T150","span":{"begin":530,"end":590},"obj":"Sentence"},{"id":"T151","span":{"begin":591,"end":749},"obj":"Sentence"},{"id":"T152","span":{"begin":750,"end":1635},"obj":"Sentence"}],"namespaces":[{"prefix":"_base","uri":"http://pubannotation.org/ontology/tao.owl#"}],"text":"We assumed no new transmissions from animals, no differences in individual immunity, the time-scale of the epidemic is much faster than characteristic times for demographic processes (natural birth and death), and no differences in natural births and deaths. In this model, individuals are classified into four types: susceptible (S; at risk of contracting the disease), exposed (E; infected but not yet infectious), infectious (I; capable of transmitting the disease), and removed (R; those who recover or die from the disease). The total population size (N) is given by N = S + E + I + R. It is assumed that susceptible individuals who have been infected first enter a latent (exposed) stage, during which they may have a low level of infectivity. The differential equations of the SEIR model are given as:32,33\\documentclass[12pt]{minimal} \t\t\t\t\\usepackage{amsmath} \t\t\t\t\\usepackage{wasysym} \t\t\t\t\\usepackage{amsfonts} \t\t\t\t\\usepackage{amssymb} \t\t\t\t\\usepackage{amsbsy} \t\t\t\t\\usepackage{mathrsfs} \t\t\t\t\\usepackage{upgreek} \t\t\t\t\\setlength{\\oddsidemargin}{-69pt} \t\t\t\t\\begin{document}$$\\begin{array}{l}{\\mathrm{d}}S/{\\mathrm{d}}t = - {\\beta}\\,{S}\\,{I}/{N},\\\\ {\\mathrm{d}}E/{\\mathrm{d}}t = {\\beta}\\,{S}\\,{I}/{N} - {\\sigma}\\,{E},\\\\ {\\mathrm{d}}I/{\\mathrm{d}}t = {\\sigma}\\,{E} - {\\gamma}\\,{I},\\\\ {\\mathrm{d}}R/{\\mathrm{d}}t = {\\gamma}\\,{I},\\\\ {\\beta} = {R}_{\\mathrm{0}}{\\gamma},\\end{array}$$\\end{document}dS∕dt=−βSI∕N,dE∕dt=βSI∕N−σE,dI∕dt=σE−γI,dR∕dt=γI,β=R0γ,where β is the transmission rate, σ is the infection rate calculated by the inverse of the mean latent period, and γ is the recovery rate calculated by the inverse of infectious period."}

{"project":"2_test","denotations":[{"id":"32133152-17254982-19616457","span":{"begin":808,"end":810},"obj":"17254982"},{"id":"32133152-15178190-19616458","span":{"begin":811,"end":813},"obj":"15178190"}],"text":"We assumed no new transmissions from animals, no differences in individual immunity, the time-scale of the epidemic is much faster than characteristic times for demographic processes (natural birth and death), and no differences in natural births and deaths. In this model, individuals are classified into four types: susceptible (S; at risk of contracting the disease), exposed (E; infected but not yet infectious), infectious (I; capable of transmitting the disease), and removed (R; those who recover or die from the disease). The total population size (N) is given by N = S + E + I + R. It is assumed that susceptible individuals who have been infected first enter a latent (exposed) stage, during which they may have a low level of infectivity. The differential equations of the SEIR model are given as:32,33\\documentclass[12pt]{minimal} \t\t\t\t\\usepackage{amsmath} \t\t\t\t\\usepackage{wasysym} \t\t\t\t\\usepackage{amsfonts} \t\t\t\t\\usepackage{amssymb} \t\t\t\t\\usepackage{amsbsy} \t\t\t\t\\usepackage{mathrsfs} \t\t\t\t\\usepackage{upgreek} \t\t\t\t\\setlength{\\oddsidemargin}{-69pt} \t\t\t\t\\begin{document}$$\\begin{array}{l}{\\mathrm{d}}S/{\\mathrm{d}}t = - {\\beta}\\,{S}\\,{I}/{N},\\\\ {\\mathrm{d}}E/{\\mathrm{d}}t = {\\beta}\\,{S}\\,{I}/{N} - {\\sigma}\\,{E},\\\\ {\\mathrm{d}}I/{\\mathrm{d}}t = {\\sigma}\\,{E} - {\\gamma}\\,{I},\\\\ {\\mathrm{d}}R/{\\mathrm{d}}t = {\\gamma}\\,{I},\\\\ {\\beta} = {R}_{\\mathrm{0}}{\\gamma},\\end{array}$$\\end{document}dS∕dt=−βSI∕N,dE∕dt=βSI∕N−σE,dI∕dt=σE−γI,dR∕dt=γI,β=R0γ,where β is the transmission rate, σ is the infection rate calculated by the inverse of the mean latent period, and γ is the recovery rate calculated by the inverse of infectious period."}