PMC:7047374 / 12610-13757 JSONTXT

{"project":"LitCovid-PD-CLO","denotations":[{"id":"T116","span":{"begin":373,"end":374},"obj":"http://purl.obolibrary.org/obo/CLO_0001021"},{"id":"T117","span":{"begin":404,"end":405},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T118","span":{"begin":417,"end":418},"obj":"http://purl.obolibrary.org/obo/CLO_0001021"},{"id":"T119","span":{"begin":451,"end":452},"obj":"http://purl.obolibrary.org/obo/CLO_0001021"},{"id":"T120","span":{"begin":482,"end":483},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T121","span":{"begin":495,"end":496},"obj":"http://purl.obolibrary.org/obo/CLO_0001021"},{"id":"T122","span":{"begin":708,"end":711},"obj":"http://www.ebi.ac.uk/efo/EFO_0000265"},{"id":"T123","span":{"begin":798,"end":799},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T124","span":{"begin":874,"end":875},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T125","span":{"begin":934,"end":935},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T126","span":{"begin":1000,"end":1002},"obj":"http://purl.obolibrary.org/obo/CLO_0008192"},{"id":"T127","span":{"begin":1016,"end":1018},"obj":"http://purl.obolibrary.org/obo/CLO_0001547"},{"id":"T128","span":{"begin":1038,"end":1040},"obj":"http://purl.obolibrary.org/obo/CLO_0001547"},{"id":"T129","span":{"begin":1126,"end":1128},"obj":"http://purl.obolibrary.org/obo/CLO_0001547"}],"text":"The normalized RP model is changed 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}$$ \\left\\{\\begin{array}{c}\\frac{d{s}_P}{dt}={n}_P-{m}_P{s}_P-{b}_P{s}_P\\left({i}_P+\\upkappa {a}_P\\right)-{b}_W{s}_Pw\\\\ {}\\frac{d{e}_P}{dt}={b}_P{s}_P\\left({i}_P+\\upkappa {a}_P\\right)+{b}_W{s}_Pw-\\left(1-{\\delta}_P\\right){\\upomega}_P{e}_P-{\\delta}_P{\\upomega}_P^{\\prime }{e}_P-{m}_P{e}_P\\\\ {}\\frac{d{i}_P}{dt}=\\left(1-{\\delta}_P\\right){\\upomega}_P{e}_P-\\left({\\gamma}_P+{m}_P\\right){i}_P\\\\ {}\\frac{d{a}_P}{dt}={\\delta}_P{\\upomega}_P^{\\prime }{e}_P-\\left({\\gamma}_P^{\\prime }+{m}_P\\right){a}_P\\kern26.5em \\\\ {}\\frac{d{r}_P}{dt}={\\gamma}_P{i}_P+{\\gamma}_P^{\\prime }{a}_P-{m}_P{r}_P\\\\ {}\\frac{dw}{dt}=\\varepsilon \\left({i}_P+c{a}_P-w\\right)\\kern28.2em \\end{array}\\right. $$\\end{document}dsPdt=nP−mPsP−bPsPiP+κaP−bWsPwdePdt=bPsPiP+κaP+bWsPw−1−δPωPeP−δPωP′eP−mPePdiPdt=1−δPωPeP−γP+mPiPdaPdt=δPωP′eP−γP′+mPaPdrPdt=γPiP+γP′aP−mPrPdwdt=εiP+caP−w"}

{"project":"LitCovid-PD-CHEBI","denotations":[{"id":"T104","span":{"begin":15,"end":17},"obj":"Chemical"},{"id":"T105","span":{"begin":671,"end":676},"obj":"Chemical"},{"id":"T106","span":{"begin":766,"end":771},"obj":"Chemical"},{"id":"T107","span":{"begin":839,"end":844},"obj":"Chemical"},{"id":"T108","span":{"begin":855,"end":860},"obj":"Chemical"},{"id":"T109","span":{"begin":1139,"end":1141},"obj":"Chemical"}],"attributes":[{"id":"A104","pred":"chebi_id","subj":"T104","obj":"http://purl.obolibrary.org/obo/CHEBI_141419"},{"id":"A105","pred":"chebi_id","subj":"T105","obj":"http://purl.obolibrary.org/obo/CHEBI_30212"},{"id":"A106","pred":"chebi_id","subj":"T106","obj":"http://purl.obolibrary.org/obo/CHEBI_30212"},{"id":"A107","pred":"chebi_id","subj":"T107","obj":"http://purl.obolibrary.org/obo/CHEBI_30212"},{"id":"A108","pred":"chebi_id","subj":"T108","obj":"http://purl.obolibrary.org/obo/CHEBI_30212"},{"id":"A109","pred":"chebi_id","subj":"T109","obj":"http://purl.obolibrary.org/obo/CHEBI_17660"}],"text":"The normalized RP model is changed 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}$$ \\left\\{\\begin{array}{c}\\frac{d{s}_P}{dt}={n}_P-{m}_P{s}_P-{b}_P{s}_P\\left({i}_P+\\upkappa {a}_P\\right)-{b}_W{s}_Pw\\\\ {}\\frac{d{e}_P}{dt}={b}_P{s}_P\\left({i}_P+\\upkappa {a}_P\\right)+{b}_W{s}_Pw-\\left(1-{\\delta}_P\\right){\\upomega}_P{e}_P-{\\delta}_P{\\upomega}_P^{\\prime }{e}_P-{m}_P{e}_P\\\\ {}\\frac{d{i}_P}{dt}=\\left(1-{\\delta}_P\\right){\\upomega}_P{e}_P-\\left({\\gamma}_P+{m}_P\\right){i}_P\\\\ {}\\frac{d{a}_P}{dt}={\\delta}_P{\\upomega}_P^{\\prime }{e}_P-\\left({\\gamma}_P^{\\prime }+{m}_P\\right){a}_P\\kern26.5em \\\\ {}\\frac{d{r}_P}{dt}={\\gamma}_P{i}_P+{\\gamma}_P^{\\prime }{a}_P-{m}_P{r}_P\\\\ {}\\frac{dw}{dt}=\\varepsilon \\left({i}_P+c{a}_P-w\\right)\\kern28.2em \\end{array}\\right. $$\\end{document}dsPdt=nP−mPsP−bPsPiP+κaP−bWsPwdePdt=bPsPiP+κaP+bWsPw−1−δPωPeP−δPωP′eP−mPePdiPdt=1−δPωPeP−γP+mPiPdaPdt=δPωP′eP−γP′+mPaPdrPdt=γPiP+γP′aP−mPrPdwdt=εiP+caP−w"}

{"project":"LitCovid-sentences","denotations":[{"id":"T111","span":{"begin":0,"end":1147},"obj":"Sentence"}],"namespaces":[{"prefix":"_base","uri":"http://pubannotation.org/ontology/tao.owl#"}],"text":"The normalized RP model is changed 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}$$ \\left\\{\\begin{array}{c}\\frac{d{s}_P}{dt}={n}_P-{m}_P{s}_P-{b}_P{s}_P\\left({i}_P+\\upkappa {a}_P\\right)-{b}_W{s}_Pw\\\\ {}\\frac{d{e}_P}{dt}={b}_P{s}_P\\left({i}_P+\\upkappa {a}_P\\right)+{b}_W{s}_Pw-\\left(1-{\\delta}_P\\right){\\upomega}_P{e}_P-{\\delta}_P{\\upomega}_P^{\\prime }{e}_P-{m}_P{e}_P\\\\ {}\\frac{d{i}_P}{dt}=\\left(1-{\\delta}_P\\right){\\upomega}_P{e}_P-\\left({\\gamma}_P+{m}_P\\right){i}_P\\\\ {}\\frac{d{a}_P}{dt}={\\delta}_P{\\upomega}_P^{\\prime }{e}_P-\\left({\\gamma}_P^{\\prime }+{m}_P\\right){a}_P\\kern26.5em \\\\ {}\\frac{d{r}_P}{dt}={\\gamma}_P{i}_P+{\\gamma}_P^{\\prime }{a}_P-{m}_P{r}_P\\\\ {}\\frac{dw}{dt}=\\varepsilon \\left({i}_P+c{a}_P-w\\right)\\kern28.2em \\end{array}\\right. $$\\end{document}dsPdt=nP−mPsP−bPsPiP+κaP−bWsPwdePdt=bPsPiP+κaP+bWsPw−1−δPωPeP−δPωP′eP−mPePdiPdt=1−δPωPeP−γP+mPiPdaPdt=δPωP′eP−γP′+mPaPdrPdt=γPiP+γP′aP−mPrPdwdt=εiP+caP−w"}