FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2080346836> ?p ?o ?g. }

• W2080346836 endingPage "327" @default.
• W2080346836 startingPage "311" @default.
• W2080346836 abstract "We examine some simple mathematical models which have been recently employed to predict the evolution of population dynamical systems involving virus particles. They include: (1) A general two-component antibody-viral system; (2) A simplified two-component model for HIV-1 dynamics (3) An HIV-1 three-component model including virions and (4) A four-component HIV-1 dynamical model which includes both latently and actively infected cells. For each system we find equilibrium points and analyse their local stability properties in order to obtain a global phase portrait. Analytical methods are complemented with numerical solutions. In all four models there are at most two equilibrium points for physically meaningful values of the variables. As the viral growth rate parameter increases through a critical value, a transcritical bifurcation occurs. One critical point (P1) is always found at zero viral or infected cell levels and non-zero antibody or uninfected cell levels. For parameter values in their usual ranges, P1 is either an asymptotically stable node or a saddle point. When the critical point P2 occurs at biologically meaningful values, it is either an asymptotically stable node or an asymptotically stable spiral point. For all three HIV-1 models, the values of the parameters at which P2 makes a transition to physically meaningful values are precisely those at which P1 changes from an asymptotically stable node to an unstable saddle point. The global pictures for all four models are similar and examples are represented graphically. No limitcycle solutions were found in any of the models for parameter values in their usual ranges. In the four-component HIV-1 model, the effects of varying each parameter are found and conditions under which P2 changes from spiral point to node are investigated numerically. The effects of reverse transcriptase inhibitors and protease inhibitors, two classes of drugs used to treat HIV-1 infection, are examined in the three-component model for early HIV-1 dynamics." @default.
• W2080346836 created "2016-06-24" @default.
• W2080346836 creator A5029982474 @default.
• W2080346836 creator A5081316629 @default.
• W2080346836 date "2000-01-01" @default.
• W2080346836 modified "2023-09-27" @default.
• W2080346836 title "Nature of equilibria and effects of drug treatments in some simple viral population dynamical models" @default.
• W2080346836 cites W1980587508 @default.
• W2080346836 cites W2000816183 @default.
• W2080346836 cites W2006527137 @default.
• W2080346836 cites W2011442445 @default.
• W2080346836 cites W2013602955 @default.
• W2080346836 cites W2014984955 @default.
• W2080346836 cites W2022098233 @default.
• W2080346836 cites W2024102211 @default.
• W2080346836 cites W2043280201 @default.
• W2080346836 cites W2061657962 @default.
• W2080346836 cites W2145530262 @default.
• W2080346836 cites W228144990 @default.
• W2080346836 doi "https://doi.org/10.1093/imamci/17.4.311" @default.
• W2080346836 hasPublicationYear "2000" @default.
• W2080346836 type Work @default.
• W2080346836 sameAs 2080346836 @default.
• W2080346836 citedByCount "6" @default.
• W2080346836 countsByYear W20803468362019 @default.
• W2080346836 countsByYear W20803468362020 @default.
• W2080346836 countsByYear W20803468362021 @default.
• W2080346836 countsByYear W20803468362022 @default.
• W2080346836 crossrefType "journal-article" @default.
• W2080346836 hasAuthorship W2080346836A5029982474 @default.
• W2080346836 hasAuthorship W2080346836A5081316629 @default.
• W2080346836 hasConcept C111472728 @default.
• W2080346836 hasConcept C121332964 @default.
• W2080346836 hasConcept C121864883 @default.
• W2080346836 hasConcept C138885662 @default.
• W2080346836 hasConcept C186060115 @default.
• W2080346836 hasConcept C2780035454 @default.
• W2080346836 hasConcept C2780586882 @default.
• W2080346836 hasConcept C28826006 @default.
• W2080346836 hasConcept C2908647359 @default.
• W2080346836 hasConcept C33923547 @default.
• W2080346836 hasConcept C71924100 @default.
• W2080346836 hasConcept C86803240 @default.
• W2080346836 hasConcept C98274493 @default.
• W2080346836 hasConcept C99454951 @default.
• W2080346836 hasConceptScore W2080346836C111472728 @default.
• W2080346836 hasConceptScore W2080346836C121332964 @default.
• W2080346836 hasConceptScore W2080346836C121864883 @default.
• W2080346836 hasConceptScore W2080346836C138885662 @default.
• W2080346836 hasConceptScore W2080346836C186060115 @default.
• W2080346836 hasConceptScore W2080346836C2780035454 @default.
• W2080346836 hasConceptScore W2080346836C2780586882 @default.
• W2080346836 hasConceptScore W2080346836C28826006 @default.
• W2080346836 hasConceptScore W2080346836C2908647359 @default.
• W2080346836 hasConceptScore W2080346836C33923547 @default.
• W2080346836 hasConceptScore W2080346836C71924100 @default.
• W2080346836 hasConceptScore W2080346836C86803240 @default.
• W2080346836 hasConceptScore W2080346836C98274493 @default.
• W2080346836 hasConceptScore W2080346836C99454951 @default.
• W2080346836 hasIssue "4" @default.
• W2080346836 hasLocation W20803468361 @default.
• W2080346836 hasOpenAccess W2080346836 @default.
• W2080346836 hasPrimaryLocation W20803468361 @default.
• W2080346836 hasRelatedWork W1971886672 @default.
• W2080346836 hasRelatedWork W1985179660 @default.
• W2080346836 hasRelatedWork W1988387987 @default.
• W2080346836 hasRelatedWork W2044091769 @default.
• W2080346836 hasRelatedWork W2051197648 @default.
• W2080346836 hasRelatedWork W2072144437 @default.
• W2080346836 hasRelatedWork W2941150820 @default.
• W2080346836 hasRelatedWork W3105398560 @default.
• W2080346836 hasRelatedWork W4320497213 @default.
• W2080346836 hasRelatedWork W4321341751 @default.
• W2080346836 hasVolume "17" @default.
• W2080346836 isParatext "false" @default.
• W2080346836 isRetracted "false" @default.
• W2080346836 magId "2080346836" @default.
• W2080346836 workType "article" @default.