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Epidemiologic studies often evaluate the association between an exposure and an event risk. When time-varying, exposure updates usually occur at discrete visits although changes are in continuous time and survival models require values to…

A key objective in two phase 2b AMP clinical trials of VRC01 is to evaluate whether drug concentration over time, as estimated by non-linear mixed effects pharmacokinetics (PK) models, is associated with HIV infection rate. We conducted a…

Quantitative Methods · Quantitative Biology 2018-01-29 Lily Zhang , Peter B. Gilbert , Edmund Capparelli , Yunda Huang

The control of opportunistic infections among HIV infected individuals should be one of the major public health concerns in reducing mortality rate of individuals living with HIV/AIDS. In this study a deterministic co-infection mathematical…

Dynamical Systems · Mathematics 2024-08-02 Michael Byamukama , Damian Kajunguri , Martin Karuhanga

In people infected with HIV the RNA viral load is a good predictor of the rate of loss of CD4 cells at a population level but there is still great variability in the rate of decline of CD4 cells among individuals. Here we show that the…

Cell Behavior · Quantitative Biology 2009-08-12 Brian G. Williams , Eline L. Korenromp , Eleanor Gouws , Christopher Dye

In this paper we generalise a simple discrete time stochastic SIR type model defined by Tuckwell and Williams. The SIR model by Tuckwell and Williams assumes a homogeneous population, a fixed infectious period, and a strict transition from…

Populations and Evolution · Quantitative Biology 2025-04-21 Carles Rovira

This paper addresses estimation in a longitudinal regression model for association between a scalar outcome and a set of longitudinally-collected functional covariates or predictor curves. The framework consists of estimating a time-varying…

Applications · Statistics 2020-06-30 Madan G. Kundu , Jaroslaw Harezlak , Timothy W. Randolph

Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite this, it is common for mathematical and statistical analyses to ignore biological heterogeneity as a source of variability in experimental data.…

The complexities inherent to leukemia, multifaceted cancer affecting white blood cells, pose considerable diagnostic and treatment challenges, primarily due to reliance on laborious morphological analyses and expert judgment that are…

Random forests is a state-of-the-art supervised machine learning method which behaves well in high-dimensional settings although some limitations may happen when $p$, the number of predictors, is much larger than the number of observations…

Methodology · Statistics 2019-02-01 Louis Capitaine , Robin Genuer , Rodolphe Thiébaut

The purpose of this study is to leverage modern technology (such as mobile or web apps in Beckman et al. (2014)) to enrich epidemiology data and infer the transmission of disease. Homogeneity related research on population level has been…

Applications · Statistics 2015-09-02 Kai Fan , Allison E. Aiello , Katherine A. Heller

In this paper, we propose a mathematical model for HIV-1 infection with intracellular delay. The model examines a viral-therapy for controlling infections through recombining HIV-1 virus with a genetically modified virus. For this model,…

Dynamical Systems · Mathematics 2014-04-10 Yun Tian , Yu Bai , Pei Yu

When an infection spreads in a community, an individual's probability of becoming infected depends on both her susceptibility and exposure to the contagion through contact with others. While one often has knowledge regarding an individual's…

Social and Information Networks · Computer Science 2017-12-05 Maggie Makar , John Guttag , Jenna Wiens

This manuscript describes the model specification, including input and output measures, dependencies, and structure for VLSiM-PPW, a Monte Carlo type model for HIV adherence, viral load and vertical transmission in pregnant and…

Quantitative Methods · Quantitative Biology 2019-08-19 Maia Lesosky , Janet Raboud , Tracy Glass , Elaine Abrams , Landon Myer

In this paper we consider the evolution of the HIV infection under a highly effective treatment based on a combination of RTI and/or PI drugs. This is usually modelled with a set of ODEs where the drug efficacy is a constant. In this paper…

Populations and Evolution · Quantitative Biology 2007-05-23 G. Della Rocca , M. Sammartino , L. Seta

In epidemiological cohort studies, the relative risk (also known as risk ratio) is a major measure of association to summarize the results of two treatments or exposures. Generally, it measures the relative change in disease risk as a…

Methodology · Statistics 2022-07-05 Gopal Nath , Krishna K. Saha , Suojin Wang

We develop a stochastic epidemic model progressing over dynamic networks, where infection rates are heterogeneous and may vary with individual-level covariates. The joint dynamics are modeled as a continuous-time Markov chain such that…

Methodology · Statistics 2021-12-16 Fan Bu , Allison E. Aiello , Alexander Volfovsky , Jason Xu

In a membership inference attack (MIA), an attacker exploits the overconfidence exhibited by typical machine learning models to determine whether a specific data point was used to train a target model. In this paper, we analyze the…

Information Theory · Computer Science 2025-06-10 Meiyi Zhu , Caili Guo , Chunyan Feng , Osvaldo Simeone

Survival is a key metric for evaluating standards of care for people living with HIV. In resource-limited settings, high rates of loss to follow-up (LTFU) often result in underestimation of mortality when only observed deaths are…

The onset of several silent, chronic diseases such as diabetes can be detected only through diagnostic tests. Due to cost considerations, self-reported outcomes are routinely collected in lieu of expensive diagnostic tests in large-scale…

Applications · Statistics 2015-09-15 Xiangdong Gu , Yunsheng Ma , Raji Balasubramanian

In stopping the spread of infectious diseases, pathogen genomic data can be used to reconstruct transmission events and characterize population-level sources of infection. Most approaches for identifying transmission pairs do not account…

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