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Mathematical models are formal and simplified representations of the knowledge related to a phenomenon. In classical epidemic models, a neglected aspect is the heterogeneity of disease transmission and progression linked to the viral load…

Physics and Society · Physics 2022-05-10 Rossella Della Marca , Nadia Loy , Andrea Tosin

We consider a simple deterministic model which describes an asymmetric competition between an immune system with a specific and powerful response, and a virus with a broad toxicity and fast mutations. Interest in this model relies on the…

Quantitative Methods · Quantitative Biology 2011-01-17 Thierry Gobron , Mario Santoro , Livio Triolo

In vaccine studies for infectious diseases such as human immunodeficiency virus (HIV), the frequency and type of contacts between study participants and infectious sources are among the most informative risk factors, but are often not…

Applications · Statistics 2012-08-27 Yang Yang , Peter Gilbert , Ira M. Longini, , M. Elizabeth Halloran

We develop a stochastic framework for viral population dynamics at the cellular level that explicitly incorporates the replication cycle with random stage durations. The model is formulated as a structured birth-death process coupled with a…

Populations and Evolution · Quantitative Biology 2026-05-13 Seong Jun Park

We studied how lagged linear regression can be used to detect the physiologic effects of drugs from data in the electronic health record (EHR). We systematically examined the effect of methodological variations ((i) time series…

Methodology · Statistics 2018-01-29 Matthew E. Levine , David J. Albers , George Hripcsak

Ending the HIV/AIDS pandemic is among the Sustainable Development Goals for the next decade. In order to overcome the gap between the need for care and the available resources, better understanding of HIV epidemics is needed to guide policy…

Applications · Statistics 2020-09-03 Zhou Lan , Le Bao

Imaging in clinical oncology trials provides a wealth of information that contributes to the drug development process, especially in early phase studies. This paper focuses on kinetic modeling in DCE-MRI, inspired by mixed-effects models…

Applications · Statistics 2020-04-22 Volker J. Schmid , Brandon Whitcher , Anwar R. Padhani , N. Jane Taylor , Guang-Zhong Yang

We propose and study a new mathematical model of the human immunodeficiency virus (HIV). The main novelty is to consider that the antibody growth depends not only on the virus and on the antibodies concentration but also on the uninfected…

Optimization and Control · Mathematics 2022-01-26 Karam Allali , Sanaa Harroudi , Delfim F. M. Torres

Quantifying variable importance is essential for answering high-stakes questions in fields like genetics, public policy, and medicine. Current methods generally calculate variable importance for a given model trained on a given dataset.…

Machine Learning · Computer Science 2024-04-03 Jon Donnelly , Srikar Katta , Cynthia Rudin , Edward P. Browne

Objective: To characterize stigma dimensions, social, and related behavioral circumstances in people living with HIV(PLWHs) seeking care, using NLP methods applied to a large collection of EHR clinical notes from a large integrated health…

Machine Learning · Computer Science 2025-09-15 Ziyi Chen , Yiyang Liu , Mattia Prosperi , Krishna Vaddiparti , Robert L Cook , Jiang Bian , Yi Guo , Yonghui Wu

An optimal dynamic treatment regime (DTR) is a sequence of decision rules aimed at providing the best course of treatments individualized to patients. While conventional DTR estimation uses longitudinal data, such data can also be…

Methodology · Statistics 2025-02-06 Larry Dong , Eleanor Pullenayegum , Rodolphe Thiébaut , Olli Saarela

Noise-modulating chemicals can synergize with transcriptional activators in reactivating latent HIV to eliminate latent HIV reservoirs. To understand the underlying biomolecular mechanism, we investigate a previous two-gene-state model and…

Subcellular Processes · Quantitative Biology 2022-03-15 Xiaolu Guo , Tao Tang , Minxuan Duan , Lei Zhang , Hao Ge

Causal mediation analysis decomposes the total effect of a treatment on an outcome into the indirect effect, operating through the mediator, and the direct effect, operating through other pathways. One can estimate only the pure indirect…

Applications · Statistics 2025-07-16 Vindyani Herath , Ronald J. Bosch , Judith J. Lok

In this paper, a mathematical analysis of the global dynamics of a viral infection model in vivo is carried out. We study the dynamics of a hepatitis C virus (HCV) model, under therapy, that considers both extracellular and intracellular…

Populations and Evolution · Quantitative Biology 2020-11-13 Alexis Nangue , Alan D. Rendall , Brice Kammegne Tcheugam , Patrick Steve Kamdem Simo

In a clinical trial of a treatment for alcoholism, a common response variable of interest is the number of alcoholic drinks consumed by each subject each day, or an ordinal version of this response, with levels corresponding to abstinence,…

Applications · Statistics 2010-10-08 Kenneth E. Shirley , Dylan S. Small , Kevin G. Lynch , Stephen A. Maisto , David W. Oslin

Traditionally, spline or kernel approaches in combination with parametric estimation are used to infer the linear coefficient (fixed effects) in a partially linear mixed-effects model for repeated measurements. Using machine learning…

Methodology · Statistics 2023-04-03 Corinne Emmenegger , Peter Bühlmann

The timing of antiretroviral therapy (ART) initiation for HIV and tuberculosis (TB) co-infected patients needs to be considered carefully. CD4 cell count can be used to guide decision making about when to initiate ART. Evidence from recent…

Applications · Statistics 2019-04-04 Liangyuan Hu , Joseph W. Hogan , Ann W. Mwangi , Abraham Siika

The viral load is known to be a chief predictor of the risk of transmission of infectious diseases. In this work, we investigate the role of the individuals' viral load in the disease transmission by proposing a new…

Adaptation and Self-Organizing Systems · Physics 2023-03-29 Rossella Della Marca , Nadia Loy , Andrea Tosin

Influenza and respiratory syncytial virus (RSV) are the leading etiological agents of seasonal acute respiratory infections (ARI) around the world. Medical doctors typically base the diagnosis of ARI on patients' symptoms alone and do not…

Clinical data usually cannot be freely distributed due to their highly confidential nature and this hampers the development of machine learning in the healthcare domain. One way to mitigate this problem is by generating realistic synthetic…