PMC:7047374 / 12510-13757 JSONTXT

Annnotations TAB JSON ListView MergeView

{"target":"https://pubannotation.org/docs/sourcedb/PMC/sourceid/7047374","sourcedb":"PMC","sourceid":"7047374","source_url":"https://www.ncbi.nlm.nih.gov/pmc/7047374","text":"In the normalization, parameter c refers to the relative shedding coefficient of AP compared to IP. 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","tracks":[{"project":"LitCovid-PD-CLO","denotations":[{"id":"T115","span":{"begin":81,"end":83},"obj":"http://purl.obolibrary.org/obo/CLO_0001547"},{"id":"T116","span":{"begin":473,"end":474},"obj":"http://purl.obolibrary.org/obo/CLO_0001021"},{"id":"T117","span":{"begin":504,"end":505},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T118","span":{"begin":517,"end":518},"obj":"http://purl.obolibrary.org/obo/CLO_0001021"},{"id":"T119","span":{"begin":551,"end":552},"obj":"http://purl.obolibrary.org/obo/CLO_0001021"},{"id":"T120","span":{"begin":582,"end":583},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T121","span":{"begin":595,"end":596},"obj":"http://purl.obolibrary.org/obo/CLO_0001021"},{"id":"T122","span":{"begin":808,"end":811},"obj":"http://www.ebi.ac.uk/efo/EFO_0000265"},{"id":"T123","span":{"begin":898,"end":899},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T124","span":{"begin":974,"end":975},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T125","span":{"begin":1034,"end":1035},"obj":"http://purl.obolibrary.org/obo/CLO_0001020"},{"id":"T126","span":{"begin":1100,"end":1102},"obj":"http://purl.obolibrary.org/obo/CLO_0008192"},{"id":"T127","span":{"begin":1116,"end":1118},"obj":"http://purl.obolibrary.org/obo/CLO_0001547"},{"id":"T128","span":{"begin":1138,"end":1140},"obj":"http://purl.obolibrary.org/obo/CLO_0001547"},{"id":"T129","span":{"begin":1226,"end":1228},"obj":"http://purl.obolibrary.org/obo/CLO_0001547"}],"attributes":[{"subj":"T115","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T116","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T117","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T118","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T119","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T120","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T121","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T122","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T123","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T124","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T125","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T126","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T127","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T128","pred":"source","obj":"LitCovid-PD-CLO"},{"subj":"T129","pred":"source","obj":"LitCovid-PD-CLO"}]},{"project":"LitCovid-PD-CHEBI","denotations":[{"id":"T100","span":{"begin":81,"end":83},"obj":"Chemical"},{"id":"T103","span":{"begin":96,"end":98},"obj":"Chemical"},{"id":"T104","span":{"begin":115,"end":117},"obj":"Chemical"},{"id":"T105","span":{"begin":771,"end":776},"obj":"Chemical"},{"id":"T106","span":{"begin":866,"end":871},"obj":"Chemical"},{"id":"T107","span":{"begin":939,"end":944},"obj":"Chemical"},{"id":"T108","span":{"begin":955,"end":960},"obj":"Chemical"},{"id":"T109","span":{"begin":1239,"end":1241},"obj":"Chemical"}],"attributes":[{"id":"A100","pred":"chebi_id","subj":"T100","obj":"http://purl.obolibrary.org/obo/CHEBI_28971"},{"id":"A101","pred":"chebi_id","subj":"T100","obj":"http://purl.obolibrary.org/obo/CHEBI_73393"},{"id":"A102","pred":"chebi_id","subj":"T100","obj":"http://purl.obolibrary.org/obo/CHEBI_81686"},{"id":"A103","pred":"chebi_id","subj":"T103","obj":"http://purl.obolibrary.org/obo/CHEBI_74076"},{"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"},{"subj":"T100","pred":"source","obj":"LitCovid-PD-CHEBI"},{"subj":"T103","pred":"source","obj":"LitCovid-PD-CHEBI"},{"subj":"T104","pred":"source","obj":"LitCovid-PD-CHEBI"},{"subj":"T105","pred":"source","obj":"LitCovid-PD-CHEBI"},{"subj":"T106","pred":"source","obj":"LitCovid-PD-CHEBI"},{"subj":"T107","pred":"source","obj":"LitCovid-PD-CHEBI"},{"subj":"T108","pred":"source","obj":"LitCovid-PD-CHEBI"},{"subj":"T109","pred":"source","obj":"LitCovid-PD-CHEBI"}]},{"project":"LitCovid-sentences","denotations":[{"id":"T110","span":{"begin":0,"end":99},"obj":"Sentence"},{"id":"T111","span":{"begin":100,"end":1247},"obj":"Sentence"}],"namespaces":[{"prefix":"_base","uri":"http://pubannotation.org/ontology/tao.owl#"}],"attributes":[{"subj":"T110","pred":"source","obj":"LitCovid-sentences"},{"subj":"T111","pred":"source","obj":"LitCovid-sentences"}]}],"config":{"attribute types":[{"pred":"source","value type":"selection","values":[{"id":"LitCovid-PD-CLO","color":"#a1ec93","default":true},{"id":"LitCovid-PD-CHEBI","color":"#ec93bb"},{"id":"LitCovid-sentences","color":"#93d5ec"}]}]}}