PMC:7047374 / 10084-11356
Annnotations
LitCovid-PD-MONDO
{"project":"LitCovid-PD-MONDO","denotations":[{"id":"T63","span":{"begin":1182,"end":1184},"obj":"Disease"},{"id":"T64","span":{"begin":1222,"end":1224},"obj":"Disease"},{"id":"T65","span":{"begin":1245,"end":1249},"obj":"Disease"},{"id":"T67","span":{"begin":1265,"end":1269},"obj":"Disease"}],"attributes":[{"id":"A63","pred":"mondo_id","subj":"T63","obj":"http://purl.obolibrary.org/obo/MONDO_0002754"},{"id":"A64","pred":"mondo_id","subj":"T64","obj":"http://purl.obolibrary.org/obo/MONDO_0002754"},{"id":"A65","pred":"mondo_id","subj":"T65","obj":"http://purl.obolibrary.org/obo/MONDO_0001437"},{"id":"A66","pred":"mondo_id","subj":"T65","obj":"http://purl.obolibrary.org/obo/MONDO_0012579"},{"id":"A67","pred":"mondo_id","subj":"T67","obj":"http://purl.obolibrary.org/obo/MONDO_0001437"},{"id":"A68","pred":"mondo_id","subj":"T67","obj":"http://purl.obolibrary.org/obo/MONDO_0012579"}],"text":"Therefore, the BHRP model was simplified as RP model and is shown as follows: \\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}$$ \\left\\{\\kern0.5em \\begin{array}{c}\\frac{d{S}_P}{dt}={\\varLambda}_P-{m}_P{S}_P-{\\beta}_P{S}_P\\left({I}_P+\\upkappa {A}_P\\right)-{\\beta}_W{S}_PW\\kern11em \\\\ {}\\frac{d{E}_P}{dt}={\\beta}_P{S}_P\\left({I}_P+\\upkappa {A}_P\\right)+{\\beta}_W{S}_PW-\\left(1-{\\delta}_P\\right){\\upomega}_P{E}_P-{\\delta}_P{\\upomega}_P^{\\prime }{E}_P-{m}_P{E}_P\\kern0.5em \\\\ {}\\frac{d{I}_P}{dt}=\\left(1-{\\delta}_P\\right){\\upomega}_P{E}_P-\\left({\\gamma}_P+{m}_P\\right){I}_P\\kern16.5em \\\\ {}\\frac{d{A}_P}{dt}={\\delta}_P{\\upomega}_P^{\\prime }{E}_P-\\left({\\gamma}_P^{\\prime }+{m}_P\\right){A}_P\\kern18.75em \\\\ {}\\frac{d{R}_P}{dt}={\\gamma}_P{I}_P+{\\gamma}_P^{\\prime }{A}_P-{m}_P{R}_P\\kern20em \\\\ {}\\frac{dW}{dt}={\\mu}_P{I}_P+{\\mu}_P^{\\prime }{A}_P-\\varepsilon W\\kern20.5em \\end{array}\\right. $$\\end{document}dSPdt=ΛP−mPSP−βPSPIP+κAP−βWSPWdEPdt=βPSPIP+κAP+βWSPW−1−δPωPEP−δPωP′EP−mPEPdIPdt=1−δPωPEP−γP+mPIPdAPdt=δPωP′EP−γP′+mPAPdRPdt=γPIP+γP′AP−mPRPdWdt=μPIP+μP′AP−εW"}
LitCovid-PD-CLO
{"project":"LitCovid-PD-CLO","denotations":[{"id":"T98","span":{"begin":459,"end":460},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T99","span":{"begin":555,"end":556},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T100","span":{"begin":808,"end":811},"obj":"http://www.ebi.ac.uk/efo/EFO_0000265"},{"id":"T101","span":{"begin":898,"end":899},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T102","span":{"begin":975,"end":976},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T103","span":{"begin":1050,"end":1051},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T104","span":{"begin":1137,"end":1139},"obj":"http://purl.obolibrary.org/obo/CLO_0001547"},{"id":"T105","span":{"begin":1159,"end":1161},"obj":"http://purl.obolibrary.org/obo/CLO_0001547"},{"id":"T106","span":{"begin":1247,"end":1249},"obj":"http://purl.obolibrary.org/obo/CLO_0001547"},{"id":"T107","span":{"begin":1267,"end":1269},"obj":"http://purl.obolibrary.org/obo/CLO_0001547"}],"text":"Therefore, the BHRP model was simplified as RP model and is shown as follows: \\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}$$ \\left\\{\\kern0.5em \\begin{array}{c}\\frac{d{S}_P}{dt}={\\varLambda}_P-{m}_P{S}_P-{\\beta}_P{S}_P\\left({I}_P+\\upkappa {A}_P\\right)-{\\beta}_W{S}_PW\\kern11em \\\\ {}\\frac{d{E}_P}{dt}={\\beta}_P{S}_P\\left({I}_P+\\upkappa {A}_P\\right)+{\\beta}_W{S}_PW-\\left(1-{\\delta}_P\\right){\\upomega}_P{E}_P-{\\delta}_P{\\upomega}_P^{\\prime }{E}_P-{m}_P{E}_P\\kern0.5em \\\\ {}\\frac{d{I}_P}{dt}=\\left(1-{\\delta}_P\\right){\\upomega}_P{E}_P-\\left({\\gamma}_P+{m}_P\\right){I}_P\\kern16.5em \\\\ {}\\frac{d{A}_P}{dt}={\\delta}_P{\\upomega}_P^{\\prime }{E}_P-\\left({\\gamma}_P^{\\prime }+{m}_P\\right){A}_P\\kern18.75em \\\\ {}\\frac{d{R}_P}{dt}={\\gamma}_P{I}_P+{\\gamma}_P^{\\prime }{A}_P-{m}_P{R}_P\\kern20em \\\\ {}\\frac{dW}{dt}={\\mu}_P{I}_P+{\\mu}_P^{\\prime }{A}_P-\\varepsilon W\\kern20.5em \\end{array}\\right. $$\\end{document}dSPdt=ΛP−mPSP−βPSPIP+κAP−βWSPWdEPdt=βPSPIP+κAP+βWSPW−1−δPωPEP−δPωP′EP−mPEPdIPdt=1−δPωPEP−γP+mPIPdAPdt=δPωP′EP−γP′+mPAPdRPdt=γPIP+γP′AP−mPRPdWdt=μPIP+μP′AP−εW"}
LitCovid-PD-CHEBI
{"project":"LitCovid-PD-CHEBI","denotations":[{"id":"T65","span":{"begin":44,"end":46},"obj":"Chemical"},{"id":"T66","span":{"begin":425,"end":429},"obj":"Chemical"},{"id":"T67","span":{"begin":473,"end":477},"obj":"Chemical"},{"id":"T68","span":{"begin":521,"end":525},"obj":"Chemical"},{"id":"T69","span":{"begin":569,"end":573},"obj":"Chemical"},{"id":"T70","span":{"begin":759,"end":764},"obj":"Chemical"},{"id":"T71","span":{"begin":866,"end":871},"obj":"Chemical"},{"id":"T72","span":{"begin":940,"end":945},"obj":"Chemical"},{"id":"T73","span":{"begin":956,"end":961},"obj":"Chemical"},{"id":"T74","span":{"begin":1137,"end":1139},"obj":"Chemical"},{"id":"T77","span":{"begin":1159,"end":1161},"obj":"Chemical"},{"id":"T80","span":{"begin":1173,"end":1176},"obj":"Chemical"},{"id":"T82","span":{"begin":1182,"end":1184},"obj":"Chemical"},{"id":"T83","span":{"begin":1200,"end":1203},"obj":"Chemical"},{"id":"T85","span":{"begin":1222,"end":1224},"obj":"Chemical"},{"id":"T86","span":{"begin":1240,"end":1243},"obj":"Chemical"},{"id":"T87","span":{"begin":1247,"end":1249},"obj":"Chemical"},{"id":"T90","span":{"begin":1260,"end":1263},"obj":"Chemical"},{"id":"T91","span":{"begin":1267,"end":1269},"obj":"Chemical"}],"attributes":[{"id":"A65","pred":"chebi_id","subj":"T65","obj":"http://purl.obolibrary.org/obo/CHEBI_141419"},{"id":"A66","pred":"chebi_id","subj":"T66","obj":"http://purl.obolibrary.org/obo/CHEBI_10545"},{"id":"A67","pred":"chebi_id","subj":"T67","obj":"http://purl.obolibrary.org/obo/CHEBI_10545"},{"id":"A68","pred":"chebi_id","subj":"T68","obj":"http://purl.obolibrary.org/obo/CHEBI_10545"},{"id":"A69","pred":"chebi_id","subj":"T69","obj":"http://purl.obolibrary.org/obo/CHEBI_10545"},{"id":"A70","pred":"chebi_id","subj":"T70","obj":"http://purl.obolibrary.org/obo/CHEBI_30212"},{"id":"A71","pred":"chebi_id","subj":"T71","obj":"http://purl.obolibrary.org/obo/CHEBI_30212"},{"id":"A72","pred":"chebi_id","subj":"T72","obj":"http://purl.obolibrary.org/obo/CHEBI_30212"},{"id":"A73","pred":"chebi_id","subj":"T73","obj":"http://purl.obolibrary.org/obo/CHEBI_30212"},{"id":"A74","pred":"chebi_id","subj":"T74","obj":"http://purl.obolibrary.org/obo/CHEBI_28971"},{"id":"A75","pred":"chebi_id","subj":"T74","obj":"http://purl.obolibrary.org/obo/CHEBI_73393"},{"id":"A76","pred":"chebi_id","subj":"T74","obj":"http://purl.obolibrary.org/obo/CHEBI_81686"},{"id":"A77","pred":"chebi_id","subj":"T77","obj":"http://purl.obolibrary.org/obo/CHEBI_28971"},{"id":"A78","pred":"chebi_id","subj":"T77","obj":"http://purl.obolibrary.org/obo/CHEBI_73393"},{"id":"A79","pred":"chebi_id","subj":"T77","obj":"http://purl.obolibrary.org/obo/CHEBI_81686"},{"id":"A80","pred":"chebi_id","subj":"T80","obj":"http://purl.obolibrary.org/obo/CHEBI_18021"},{"id":"A81","pred":"chebi_id","subj":"T80","obj":"http://purl.obolibrary.org/obo/CHEBI_44897"},{"id":"A82","pred":"chebi_id","subj":"T82","obj":"http://purl.obolibrary.org/obo/CHEBI_73508"},{"id":"A83","pred":"chebi_id","subj":"T83","obj":"http://purl.obolibrary.org/obo/CHEBI_18021"},{"id":"A84","pred":"chebi_id","subj":"T83","obj":"http://purl.obolibrary.org/obo/CHEBI_44897"},{"id":"A85","pred":"chebi_id","subj":"T85","obj":"http://purl.obolibrary.org/obo/CHEBI_73508"},{"id":"A86","pred":"chebi_id","subj":"T86","obj":"http://purl.obolibrary.org/obo/CHEBI_16500"},{"id":"A87","pred":"chebi_id","subj":"T87","obj":"http://purl.obolibrary.org/obo/CHEBI_28971"},{"id":"A88","pred":"chebi_id","subj":"T87","obj":"http://purl.obolibrary.org/obo/CHEBI_73393"},{"id":"A89","pred":"chebi_id","subj":"T87","obj":"http://purl.obolibrary.org/obo/CHEBI_81686"},{"id":"A90","pred":"chebi_id","subj":"T90","obj":"http://purl.obolibrary.org/obo/CHEBI_16500"},{"id":"A91","pred":"chebi_id","subj":"T91","obj":"http://purl.obolibrary.org/obo/CHEBI_28971"},{"id":"A92","pred":"chebi_id","subj":"T91","obj":"http://purl.obolibrary.org/obo/CHEBI_73393"},{"id":"A93","pred":"chebi_id","subj":"T91","obj":"http://purl.obolibrary.org/obo/CHEBI_81686"}],"text":"Therefore, the BHRP model was simplified as RP model and is shown as follows: \\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}$$ \\left\\{\\kern0.5em \\begin{array}{c}\\frac{d{S}_P}{dt}={\\varLambda}_P-{m}_P{S}_P-{\\beta}_P{S}_P\\left({I}_P+\\upkappa {A}_P\\right)-{\\beta}_W{S}_PW\\kern11em \\\\ {}\\frac{d{E}_P}{dt}={\\beta}_P{S}_P\\left({I}_P+\\upkappa {A}_P\\right)+{\\beta}_W{S}_PW-\\left(1-{\\delta}_P\\right){\\upomega}_P{E}_P-{\\delta}_P{\\upomega}_P^{\\prime }{E}_P-{m}_P{E}_P\\kern0.5em \\\\ {}\\frac{d{I}_P}{dt}=\\left(1-{\\delta}_P\\right){\\upomega}_P{E}_P-\\left({\\gamma}_P+{m}_P\\right){I}_P\\kern16.5em \\\\ {}\\frac{d{A}_P}{dt}={\\delta}_P{\\upomega}_P^{\\prime }{E}_P-\\left({\\gamma}_P^{\\prime }+{m}_P\\right){A}_P\\kern18.75em \\\\ {}\\frac{d{R}_P}{dt}={\\gamma}_P{I}_P+{\\gamma}_P^{\\prime }{A}_P-{m}_P{R}_P\\kern20em \\\\ {}\\frac{dW}{dt}={\\mu}_P{I}_P+{\\mu}_P^{\\prime }{A}_P-\\varepsilon W\\kern20.5em \\end{array}\\right. $$\\end{document}dSPdt=ΛP−mPSP−βPSPIP+κAP−βWSPWdEPdt=βPSPIP+κAP+βWSPW−1−δPωPEP−δPωP′EP−mPEPdIPdt=1−δPωPEP−γP+mPIPdAPdt=δPωP′EP−γP′+mPAPdRPdt=γPIP+γP′AP−mPRPdWdt=μPIP+μP′AP−εW"}
LitCovid-sentences
{"project":"LitCovid-sentences","denotations":[{"id":"T104","span":{"begin":0,"end":1272},"obj":"Sentence"}],"namespaces":[{"prefix":"_base","uri":"http://pubannotation.org/ontology/tao.owl#"}],"text":"Therefore, the BHRP model was simplified as RP model and is shown as follows: \\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}$$ \\left\\{\\kern0.5em \\begin{array}{c}\\frac{d{S}_P}{dt}={\\varLambda}_P-{m}_P{S}_P-{\\beta}_P{S}_P\\left({I}_P+\\upkappa {A}_P\\right)-{\\beta}_W{S}_PW\\kern11em \\\\ {}\\frac{d{E}_P}{dt}={\\beta}_P{S}_P\\left({I}_P+\\upkappa {A}_P\\right)+{\\beta}_W{S}_PW-\\left(1-{\\delta}_P\\right){\\upomega}_P{E}_P-{\\delta}_P{\\upomega}_P^{\\prime }{E}_P-{m}_P{E}_P\\kern0.5em \\\\ {}\\frac{d{I}_P}{dt}=\\left(1-{\\delta}_P\\right){\\upomega}_P{E}_P-\\left({\\gamma}_P+{m}_P\\right){I}_P\\kern16.5em \\\\ {}\\frac{d{A}_P}{dt}={\\delta}_P{\\upomega}_P^{\\prime }{E}_P-\\left({\\gamma}_P^{\\prime }+{m}_P\\right){A}_P\\kern18.75em \\\\ {}\\frac{d{R}_P}{dt}={\\gamma}_P{I}_P+{\\gamma}_P^{\\prime }{A}_P-{m}_P{R}_P\\kern20em \\\\ {}\\frac{dW}{dt}={\\mu}_P{I}_P+{\\mu}_P^{\\prime }{A}_P-\\varepsilon W\\kern20.5em \\end{array}\\right. $$\\end{document}dSPdt=ΛP−mPSP−βPSPIP+κAP−βWSPWdEPdt=βPSPIP+κAP+βWSPW−1−δPωPEP−δPωP′EP−mPEPdIPdt=1−δPωPEP−γP+mPIPdAPdt=δPωP′EP−γP′+mPAPdRPdt=γPIP+γP′AP−mPRPdWdt=μPIP+μP′AP−εW"}