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We consider time to treatment initiation. This can commonly occur in preventive medicine, such as disease screening and vaccination; it can also occur with non-fatal health conditions such as HIV infection without the onset of AIDS. While…

Methodology · Statistics 2026-05-29 Zhichen Zhao , Andrew Ying , Ronghui Xu

Objective: The reservoir of human immunodeficiency virus (HIV) latently infected cells is the major obstacle for eradication of acquired immunodeficiency syndrome (AIDS). Due to the noisy environment and multiple influencing factors in the…

Biological Physics · Physics 2024-11-06 Ruiqi Xiong , Yang Su , Ping Ao

Key populations at high risk of HIV infection are critical for understanding and monitoring HIV epidemics, but global estimation is hampered by sparse, uneven data. We analyze data from 199 countries for female sex workers (FSW), men who…

Applications · Statistics 2025-09-16 Jiahao Zhang , Keith Sabin , Le Bao

Inferring concerted changes among biological traits along an evolutionary history remains an important yet challenging problem. Besides adjusting for spurious correlation induced from the shared history, the task also requires sufficient…

In the era of precision medicine, more and more clinical trials are now driven or guided by biomarkers, which are patient characteristics objectively measured and evaluated as indicators of normal biological processes, pathogenic processes,…

Methodology · Statistics 2024-01-02 Hong Zhang , Jie Pu , Shibing Deng , Satrajit Roychoudhury , Haitao Chu , Douglas Robinson

Increasing evidence suggests that variability in longitudinal biomarkers, in addition to their mean trajectory, carries prognostic information for time-to-event outcomes. However, standard joint models typically capture only the expected…

Methodology · Statistics 2026-05-08 Felix Boakye Oppong , Dimitris Rizopoulos , Thierry Gorlia , Nicole Erler

While the HVTN 505 trial showed no overall efficacy of the tested vaccine to prevent HIV infection over placebo, previous studies, biological theories, and the finding that immune response markers strongly correlated with infection in…

Applications · Statistics 2018-11-12 Peter B. Gilbert , Bryan S. Blette , Bryan E. Shepherd , Michael G. Hudgens

Intensive longitudinal biomarker data are increasingly common in scientific studies that seek temporally granular understanding of the role of behavioral and physiological factors in relation to outcomes of interest. Intensive longitudinal…

Methodology · Statistics 2024-01-17 Mingyan Yu , Zhenke Wu , Margaret Hicken , Michael R. Elliott

Longitudinal biomarker data and cross-sectional outcomes are routinely collected in modern epidemiology studies, often with the goal of informing tailored early intervention decisions. For example, hormones such as estradiol and…

In cancer biomarker development, a key objective is to evaluate whether a new biomarker, when combined with an established one, improves early cancer detection compared to using the established biomarker alone. Incremental value is often…

Methodology · Statistics 2025-11-21 Indrila Ganguly , Ying Huang

Recently, a long-term model of HIV infection dynamics was developed to describe the entire time course of the disease. It consists of a large system of ODEs with many parameters, and is expensive to simulate. In the current paper, this…

Populations and Evolution · Quantitative Biology 2016-04-20 Tyson Loudon , Stephen Pankavich

Multiple indications of disease progression found in a cancer patient by loco-regional relapse, distant metastasis and death. Early identification of these indications is necessary to change the treatment strategy. Biomarkers play an…

Applications · Statistics 2021-07-23 Atanu Bhattacharjee , Gajendra K. Vishwakarma , Souvik Banerjee

Mathematical modeling of biological systems is crucial to effectively and efficiently developing treatments for medical conditions that plague humanity. Often, systems of ordinary differential equations are a traditional tool used to…

Classical Analysis and ODEs · Mathematics 2015-09-01 Eric Jones , Peter Roemer , Mrinal Raghupathi , Stephen Pankavich

It is the main purpose of this paper to introduce a graph-valued stochastic process in order to model the spread of a communicable infectious disease. The major novelty of the SIR model we promote lies in the fact that the social network on…

Applications · Statistics 2014-02-06 Charanpal Dhanjal , Stéphan Clémençon

The concentration of CD4 T-lymphocytes (CD4 count), in a person's plasma is widely used to decide when to start HIV-positive people on anti-retroviral therapy (ART) and to predict the impact of ART on the future course of HIV and…

Quantitative Methods · Quantitative Biology 2013-01-08 Brian Williams , Eleanor Gouws

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 coexistence of different viral strains (quasispecies) within the same host are nowadays observed for a growing number of viruses, most notably HIV, Marburg and Ebola, but the conditions for the formation and survival of new strains have…

Populations and Evolution · Quantitative Biology 2008-01-20 Franco Bagnoli , Pietro Lio' , Luca Sguanci

Genetic sequence data of pathogens are increasingly used to investigate transmission dynamics in both endemic diseases and disease outbreaks; such research can aid in development of appropriate interventions and in design of studies to…

Quantitative Methods · Quantitative Biology 2018-01-24 Hesam Montazeri , Susan Little , Niko Beerenwinkel , Victor DeGruttola

Infection by many viruses begins with fusion of viral and cellular lipid membranes, followed by entry of viral contents into the target cell and ultimately, after many biochemical steps, integration of viral DNA into that of the host cell.…

Quantitative Methods · Quantitative Biology 2018-05-10 Bhaven Mistry , Maria R. D'Orsogna , Nicholas E. Webb , Benhur Lee , Tom Chou

Purpose: The use of cumulative measures of exposure to raised HIV viral load (viremia copy-years) is an increasingly common in HIV prevention and treatment epidemiology due to the high biological plausibility. We sought to estimate the…

Applications · Statistics 2019-05-10 Maia Lesosky , Tracy Glass , Brian Rambau , Nei-Yuan Hsiao , Elaine J Abrams , Landon Myer
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