Early HIV infection in vivo: branching-process model for studying timing of immune reponses and drug therapy

DOI10.1016/S0025-5564(00)00013-4zbMath0963.92022OpenAlexW2112427880WikidataQ52077454 ScholiaQ52077454MaRDI QIDQ1579751

Steven G. Self, David Wick

Publication date: 7 November 2000

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0025-5564(00)00013-4

zbMATH Keywords

extinctionHAARTantiretroviral treatmentearly interventionin vivo kineticspathogen eradicationPMPAprimary HIV infectionprimary SIV infection

Mathematics Subject Classification ID

Applications of branching processes (60J85) Medical applications (general) (92C50) Medical epidemiology (92C60)

Related Items (8)

Incorporation of variability into the modeling of viral delays in HIV infection dynamics ⋮ On simulating strongly interacting, stochastic population models. II: Multiple compartments ⋮ Stochastic investigation of HIV infection and the emergence of drug resistance ⋮ An in-depth analysis of the HIV-1/AIDS dynamics by comprehensive mathematical modeling ⋮ Sampling HIV intrahost genealogies based on a model of acute stage CTL response ⋮ On simulating strongly-interacting, stochastic population models. ⋮ A parameter sensitivity methodology in the context of HIV delay equation models ⋮ The stochastic dance of early HIV infection

Cites Work

• Two-event models for carcinogenesis: Incidence curves for childhood and adult tumors
• Random environments and stochastic calculus
• Mathematical biology of HIV infections: Antigenic variation and diversity threshold
• A theory for the age and generation time distribution of a microbial population
• Influence of delayed viral production on viral dynamics in HIV-1 infected patients
• On \(T\)-cell dynamics and the hyperactivation theory of AIDS pathogenesis
• Partial differential equations
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