Influence of delayed viral production on viral dynamics in HIV-1 infected patients
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Publication:1306963
DOI10.1016/S0025-5564(98)10027-5zbMath0946.92011OpenAlexW2090297178WikidataQ52234163 ScholiaQ52234163MaRDI QIDQ1306963
Avidan U. Neumann, Alan S. Perelson, John E. Mittler, Bernhard Sulzer
Publication date: 25 October 2000
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0025-5564(98)10027-5
time delayordinary differential equationsAIDSHIV-1antiretroviral therapyviral loadviral dynamicsprotease inhibitorsnonlinear least-squares regression
Epidemiology (92D30) General nonlinear regression (62J02) Integro-ordinary differential equations (45J05) Medical applications (general) (92C50)
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Cites Work
