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In this paper, we construct a model to describe the transmission of HIV in a homogeneous host population. By considering the specific mechanism of HIV, we derive a model structured in three successive stages: (i) primary infection, (ii)…

Analysis of PDEs · Mathematics 2019-11-18 Mboya Ba , Ramsès Djidjou-Demasse , Mountaga Lam , Jean-Jules Tewa

Due to the persistence of latently infected CD4$^+$ T cells, achieving a functional cure for HIV-1 remains a significant challenge since the viruses are able to evade immune clearance, which in turn enables post-treatment viral rebound.…

Biological Physics · Physics 2025-09-10 Mesfin Taye

Hepatitis C virus (HCV) coinfection has become one of the most challenging clinical situations to manage in HIV-infected patients. Recently the effect of HCV coinfection on HIV dynamics following initiation of highly active antiretroviral…

Applications · Statistics 2011-05-04 Li Su , Joseph W. Hogan

The evolutionary dynamics of HIV during the chronic phase of infection is driven by the host immune response and by selective pressures exerted through drug treatment. To understand and model the evolution of HIV quantitatively, the…

Populations and Evolution · Quantitative Biology 2012-08-01 Richard A. Neher , Thomas Leitner

Foundation models pretrained on large-scale histopathology data have found great success in various fields of computational pathology, but their impact on regressive biomarker prediction remains underexplored. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Alexander Blezinger , Wolfgang Nejdl , Ming Tang

Human immunodeficiency virus (HIV-1 or simply HIV) induces a persistent infection, which in the absence of treatment leads to AIDS and death in almost all infected individuals. HIV infection elicits a vigorous immune response starting about…

Populations and Evolution · Quantitative Biology 2015-06-05 Vitaly V. Ganusov , Richard A. Neher , Alan S. Perelson

We present a new joint longitudinal and survival model aimed at estimating the association between the risk of an event and the change in and history of a biomarker that is repeatedly measured over time. We use cubic B-splines models for…

Applications · Statistics 2009-10-12 Elizabeth R. Brown

We introduce a new version of forward stepwise regression. Our modification finds solutions to regression problems where the selected predictors appear in a structured pattern, with respect to a predefined distance measure over the…

Methodology · Statistics 2011-08-02 Daniel Percival , Kathryn Roeder , Roni Rosenfeld , Larry Wasserman

We study within-host HIV dynamics using a three--component nonlinear ordinary differential equation model for healthy CD4$^{+}$ T cells, infected CD4$^{+}$ T cells, and free virus. In addition to the baseline model without treatment, we…

Numerical Analysis · Mathematics 2025-12-16 Abdul Rab

In the realm of medical research, the intricate interplay of epidemiological risk, genomic activity, adverse events, and clinical response necessitates a nuanced consideration of multiple variables. Clinical trials, designed to meticulously…

Applications · Statistics 2023-11-28 María Paula Cantarini , Florencia Ayelén Hernández

Motivation: In predicting HIV therapy outcomes, a critical clinical question is whether using historical information can enhance predictive capabilities compared with current or latest available data analysis. This study analyses whether…

While a randomized control trial is considered the gold standard for estimating causal treatment effects, there are many research settings in which randomization is infeasible or unethical. In such cases, researchers rely on analytical…

Methodology · Statistics 2024-02-21 Julia C. Thome , Peter F. Rebeiro , Andrew J. Spieker , Bryan E. Shepherd

Decision-makers frequently must choose a single action from a finite set of alternatives -- for example, physicians selecting a treatment, investors choosing a portfolio risk level, or judges determining sentences. To improve outcomes,…

Applications · Statistics 2026-05-19 Raphaël Langevin

The difference-in-differences (DID) method identifies the average treatment effects on the treated (ATT) under mainly the so-called parallel trends (PT) assumption. The most common and widely used approach to justify the PT assumption is…

Econometrics · Economics 2023-08-23 Kyunghoon Ban , Désiré Kédagni

Methods are lacking to handle the problem of survival analysis in the presence of an interval-censored covariate, specifically the case in which the conditional hazard of the primary event of interest depends on the occurrence of a…

Motivation: HIV is difficult to treat because its virus mutates at a high rate and mutated viruses easily develop resistance to existing drugs. If the relationships between mutations and drug resistances can be determined from historical…

Quantitative Methods · Quantitative Biology 2019-07-08 Li Xing , Mary Lesperance , Xuekui Zhang

Cross-sectional incidence estimation based on recency testing has become a widely used tool in HIV research. Recently, this method has gained prominence in HIV prevention trials to estimate the "placebo" incidence that participants might…

Methodology · Statistics 2024-12-18 Jianan Pan , Marlena Bannick , Fei Gao

Modern clinical decision support systems can concurrently serve multiple, independent medical imaging institutions, but their predictive performance may degrade across sites due to variations in patient populations, imaging hardware, and…

Artificial Intelligence · Computer Science 2025-12-23 Xavier Rafael-Palou , Jose Munuera , Ana Jimenez-Pastor , Richard Osuala , Karim Lekadir , Oliver Diaz

Given a collection of features available for inclusion in a predictive model, it may be of interest to quantify the relative importance of a subset of features for the prediction task at hand. For example, in HIV vaccine trials, participant…

Methodology · Statistics 2025-03-27 Charles J. Wolock , Peter B. Gilbert , Noah Simon , Marco Carone

Timely transition from intravenous (IV) to oral antibiotic therapy shortens hospital stays, reduces catheter-related infections, and lowers healthcare costs, yet one in five patients in England remain on IV antibiotics despite meeting…

Machine Learning · Computer Science 2026-03-10 Magnus Ross , Nel Swanepoel , Akish Luintel , Emma McGuire , Ingemar J. Cox , Steve Harris , Vasileios Lampos