PubMed:29710733 JSONTXT

Annnotations TAB JSON ListView MergeView

{"target":"https://pubannotation.org/docs/sourcedb/PubMed/sourceid/29710733","sourcedb":"PubMed","sourceid":"29710733","source_url":"https://www.ncbi.nlm.nih.gov/pubmed/29710733","text":"Stability of latent pathogen infection model with adaptive immunity and delays.\nIn this paper we propose and analyze a pathogen dynamics model with antibody and Cytotoxic T Lymphocyte (CTL) immune responses. We incorporate latently infected cells and three distributed time delays into the model. We show that the solutions of the proposed model are nonnegative and ultimately bounded. We derive four threshold parameters which fully determine the existence and stability of the five steady states of the model. Using Lyapunov functionals, we established the global stability of the steady states of the model. The theoretical results are confirmed by numerical simulations.","tracks":[{"project":"GoldHamster","denotations":[{"id":"T1","span":{"begin":29,"end":38},"obj":"D007239"},{"id":"T2","span":{"begin":29,"end":38},"obj":"D007239"},{"id":"T6","span":{"begin":148,"end":156},"obj":"GO:0019815"},{"id":"T7","span":{"begin":148,"end":156},"obj":"GO:0042571"},{"id":"T8","span":{"begin":148,"end":156},"obj":"GO:0019814"},{"id":"T9","span":{"begin":148,"end":156},"obj":"GO:0003823"},{"id":"T10","span":{"begin":161,"end":183},"obj":"CL:0000794"},{"id":"T11","span":{"begin":161,"end":183},"obj":"CL:0000910"},{"id":"T14","span":{"begin":185,"end":188},"obj":"P0DM36"},{"id":"T15","span":{"begin":185,"end":188},"obj":"A7X3W1"},{"id":"T16","span":{"begin":185,"end":188},"obj":"Q9PSM4"},{"id":"T17","span":{"begin":185,"end":188},"obj":"Q9PSN0"},{"id":"T18","span":{"begin":185,"end":188},"obj":"A1XXJ9"},{"id":"T19","span":{"begin":185,"end":188},"obj":"Q90WI7"},{"id":"T20","span":{"begin":185,"end":188},"obj":"D2YVI2"},{"id":"T21","span":{"begin":185,"end":188},"obj":"A7X406"},{"id":"T22","span":{"begin":185,"end":188},"obj":"A7X401"},{"id":"T23","span":{"begin":185,"end":188},"obj":"D2YVK1"},{"id":"T24","span":{"begin":185,"end":188},"obj":"C6JUN9"},{"id":"T25","span":{"begin":185,"end":188},"obj":"D2YVH7"},{"id":"T26","span":{"begin":185,"end":188},"obj":"A7X3X8"},{"id":"T27","span":{"begin":185,"end":188},"obj":"A7X3X0"},{"id":"T28","span":{"begin":185,"end":188},"obj":"D2YVK5"},{"id":"T29","span":{"begin":185,"end":188},"obj":"Q90WI6"},{"id":"T30","span":{"begin":185,"end":188},"obj":"D2YVJ6"},{"id":"T31","span":{"begin":185,"end":188},"obj":"Q9YGP1"},{"id":"T32","span":{"begin":185,"end":188},"obj":"D2YVJ8"},{"id":"T33","span":{"begin":185,"end":188},"obj":"Q9PRY7"},{"id":"T34","span":{"begin":185,"end":188},"obj":"A3FM55"},{"id":"T35","span":{"begin":185,"end":188},"obj":"C0HJX1"},{"id":"T36","span":{"begin":185,"end":188},"obj":"A7X3X3"},{"id":"T37","span":{"begin":185,"end":188},"obj":"A7X413"},{"id":"T38","span":{"begin":185,"end":188},"obj":"A7X3W6"},{"id":"T39","span":{"begin":185,"end":188},"obj":"A7X409"},{"id":"T40","span":{"begin":185,"end":188},"obj":"P21963"},{"id":"T41","span":{"begin":185,"end":188},"obj":"A7X3Y2"},{"id":"T42","span":{"begin":185,"end":188},"obj":"P0DL30"},{"id":"T43","span":{"begin":185,"end":188},"obj":"A7X3Y6"},{"id":"T44","span":{"begin":185,"end":188},"obj":"P86970"},{"id":"T45","span":{"begin":185,"end":188},"obj":"A7X3Z7"},{"id":"T46","span":{"begin":185,"end":188},"obj":"P83519"},{"id":"T47","span":{"begin":185,"end":188},"obj":"Q6QX33"},{"id":"T48","span":{"begin":185,"end":188},"obj":"D8VNS6"},{"id":"T49","span":{"begin":185,"end":188},"obj":"Q66S03"},{"id":"T50","span":{"begin":185,"end":188},"obj":"A7X3Z4"},{"id":"T51","span":{"begin":185,"end":188},"obj":"P84987"},{"id":"T52","span":{"begin":185,"end":188},"obj":"P0DM53"},{"id":"T53","span":{"begin":185,"end":188},"obj":"Q90WI8"},{"id":"T54","span":{"begin":185,"end":188},"obj":"Q6T7B7"},{"id":"T55","span":{"begin":185,"end":188},"obj":"A7X3Z0"}],"attributes":[{"subj":"T1","pred":"source","obj":"GoldHamster"},{"subj":"T2","pred":"source","obj":"GoldHamster"},{"subj":"T6","pred":"source","obj":"GoldHamster"},{"subj":"T7","pred":"source","obj":"GoldHamster"},{"subj":"T8","pred":"source","obj":"GoldHamster"},{"subj":"T9","pred":"source","obj":"GoldHamster"},{"subj":"T10","pred":"source","obj":"GoldHamster"},{"subj":"T11","pred":"source","obj":"GoldHamster"},{"subj":"T14","pred":"source","obj":"GoldHamster"},{"subj":"T15","pred":"source","obj":"GoldHamster"},{"subj":"T16","pred":"source","obj":"GoldHamster"},{"subj":"T17","pred":"source","obj":"GoldHamster"},{"subj":"T18","pred":"source","obj":"GoldHamster"},{"subj":"T19","pred":"source","obj":"GoldHamster"},{"subj":"T20","pred":"source","obj":"GoldHamster"},{"subj":"T21","pred":"source","obj":"GoldHamster"},{"subj":"T22","pred":"source","obj":"GoldHamster"},{"subj":"T23","pred":"source","obj":"GoldHamster"},{"subj":"T24","pred":"source","obj":"GoldHamster"},{"subj":"T25","pred":"source","obj":"GoldHamster"},{"subj":"T26","pred":"source","obj":"GoldHamster"},{"subj":"T27","pred":"source","obj":"GoldHamster"},{"subj":"T28","pred":"source","obj":"GoldHamster"},{"subj":"T29","pred":"source","obj":"GoldHamster"},{"subj":"T30","pred":"source","obj":"GoldHamster"},{"subj":"T31","pred":"source","obj":"GoldHamster"},{"subj":"T32","pred":"source","obj":"GoldHamster"},{"subj":"T33","pred":"source","obj":"GoldHamster"},{"subj":"T34","pred":"source","obj":"GoldHamster"},{"subj":"T35","pred":"source","obj":"GoldHamster"},{"subj":"T36","pred":"source","obj":"GoldHamster"},{"subj":"T37","pred":"source","obj":"GoldHamster"},{"subj":"T38","pred":"source","obj":"GoldHamster"},{"subj":"T39","pred":"source","obj":"GoldHamster"},{"subj":"T40","pred":"source","obj":"GoldHamster"},{"subj":"T41","pred":"source","obj":"GoldHamster"},{"subj":"T42","pred":"source","obj":"GoldHamster"},{"subj":"T43","pred":"source","obj":"GoldHamster"},{"subj":"T44","pred":"source","obj":"GoldHamster"},{"subj":"T45","pred":"source","obj":"GoldHamster"},{"subj":"T46","pred":"source","obj":"GoldHamster"},{"subj":"T47","pred":"source","obj":"GoldHamster"},{"subj":"T48","pred":"source","obj":"GoldHamster"},{"subj":"T49","pred":"source","obj":"GoldHamster"},{"subj":"T50","pred":"source","obj":"GoldHamster"},{"subj":"T51","pred":"source","obj":"GoldHamster"},{"subj":"T52","pred":"source","obj":"GoldHamster"},{"subj":"T53","pred":"source","obj":"GoldHamster"},{"subj":"T54","pred":"source","obj":"GoldHamster"},{"subj":"T55","pred":"source","obj":"GoldHamster"}]},{"project":"PubMed_ArguminSci","denotations":[{"id":"T1","span":{"begin":80,"end":207},"obj":"DRI_Outcome"},{"id":"T2","span":{"begin":208,"end":296},"obj":"DRI_Approach"},{"id":"T3","span":{"begin":297,"end":385},"obj":"DRI_Outcome"},{"id":"T4","span":{"begin":386,"end":511},"obj":"DRI_Approach"},{"id":"T5","span":{"begin":512,"end":610},"obj":"DRI_Approach"}],"attributes":[{"subj":"T1","pred":"source","obj":"PubMed_ArguminSci"},{"subj":"T2","pred":"source","obj":"PubMed_ArguminSci"},{"subj":"T3","pred":"source","obj":"PubMed_ArguminSci"},{"subj":"T4","pred":"source","obj":"PubMed_ArguminSci"},{"subj":"T5","pred":"source","obj":"PubMed_ArguminSci"}]},{"project":"Goldhamster2_Cellosaurus","denotations":[{"id":"T1","span":{"begin":94,"end":96},"obj":"CVCL_5M23|Cancer_cell_line|Mesocricetus auratus"},{"id":"T2","span":{"begin":117,"end":118},"obj":"CVCL_6479|Finite_cell_line|Mus musculus"},{"id":"T3","span":{"begin":208,"end":210},"obj":"CVCL_5M23|Cancer_cell_line|Mesocricetus auratus"},{"id":"T4","span":{"begin":269,"end":273},"obj":"CVCL_0047|Telomerase_immortalized_cell_line|Homo sapiens"},{"id":"T5","span":{"begin":297,"end":299},"obj":"CVCL_5M23|Cancer_cell_line|Mesocricetus auratus"},{"id":"T6","span":{"begin":386,"end":388},"obj":"CVCL_5M23|Cancer_cell_line|Mesocricetus auratus"},{"id":"T7","span":{"begin":540,"end":542},"obj":"CVCL_5M23|Cancer_cell_line|Mesocricetus auratus"}],"attributes":[{"subj":"T1","pred":"source","obj":"Goldhamster2_Cellosaurus"},{"subj":"T2","pred":"source","obj":"Goldhamster2_Cellosaurus"},{"subj":"T3","pred":"source","obj":"Goldhamster2_Cellosaurus"},{"subj":"T4","pred":"source","obj":"Goldhamster2_Cellosaurus"},{"subj":"T5","pred":"source","obj":"Goldhamster2_Cellosaurus"},{"subj":"T6","pred":"source","obj":"Goldhamster2_Cellosaurus"},{"subj":"T7","pred":"source","obj":"Goldhamster2_Cellosaurus"}]}],"config":{"attribute types":[{"pred":"source","value type":"selection","values":[{"id":"GoldHamster","color":"#ece093","default":true},{"id":"PubMed_ArguminSci","color":"#c693ec"},{"id":"Goldhamster2_Cellosaurus","color":"#93ecac"}]}]}}