The stochastic dance of early HIV infection

DOI10.1016/j.cam.2003.09.057zbMath1073.92018OpenAlexW2074248745MaRDI QIDQ2566212

Stephen J. Merrill

Publication date: 22 September 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.057

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Applications of branching processes (60J85) Medical applications (general) (92C50)

Related Items (6)

Within-host demographic fluctuations and correlations in early retroviral infection ⋮ Stochastic modelling of age-structured population with time and size dependence of immigration rate ⋮ On the extinction probability in models of within-host infection: the role of latency and immunity ⋮ Sampling HIV intrahost genealogies based on a model of acute stage CTL response ⋮ The probability of HIV infection in a new host and its reduction with microbicides ⋮ Periodic solution of a stochastic HBV infection model with logistic hepatocyte growth

Cites Work

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• Stochastic modeling of the dynamics of \(CD4^ +\) \(T\)-cell infection by HIV and some Monte Carlo studies
• Early HIV infection in vivo: branching-process model for studying timing of immune reponses and drug therapy
• Estimation of HIV infection and incubation via state space models
• Dynamics of HIV infection of CD4\(^ +\) T cells
• Characterization of HIV infection and seroconversion by a stochastic model of the HIV epidemic
• Limit theorems for an agedependent branching process with immigration
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• Branching processes in biology
• A stochastic modeling of early HIV-1 population dynamics
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