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One of the cornerstones in combating the HIV pandemic is being able to assess the current state and evolution of local HIV epidemics. This remains a complex problem, as many HIV infected individuals remain unaware of their infection status,…

Populations and Evolution · Quantitative Biology 2019-10-24 Pieter Libin , Nassim Versbraegen , Ana B. Abecasis , Perpetua Gomes , Tom Lenaerts , Ann Nowé

We construct a seven-component model of the in-host dynamics of the Human Immunodeficiency Virus Type-1 (i.e, HIV) that accounts for latent infection and the propensity of viral mutation. A dynamical analysis is conducted and a theorem is…

Populations and Evolution · Quantitative Biology 2016-04-18 Stephen Pankavich , Deborah Shutt

HIV-1C is the most prevalent subtype of HIV-1 and accounts for over half of HIV-1 infections worldwide. Host genetic influence of HIV infection has been previously studied in HIV-1B, but little attention has been paid to the more prevalent…

Methodology · Statistics 2017-06-13 Denis Agniel , Wen Xie , Myron Essex , Tianxi Cai

Modeling viral dynamics in HIV/AIDS studies has resulted in a deep understanding of pathogenesis of HIV infection from which novel antiviral treatment guidance and strategies have been derived. Viral dynamics models based on nonlinear…

Applications · Statistics 2010-10-08 Hua Liang , Hongyu Miao , Hulin Wu

This contribution is devoted to a new model of HIV multiplication motivated by the patent of one of the authors. We take into account the antigenic diversity through what we define "antigenicity", whether of the virus or of the adapted…

Numerical Analysis · Mathematics 2011-02-02 François Dubois , Hervé Le Meur , Claude Reiss

The aim of this paper is to find the approximate solution of HIV infection model of CD4+T cells. For this reason, the homotopy analysis transform method (HATM) is applied. The presented method is combination of traditional homotopy analysis…

Other Quantitative Biology · Quantitative Biology 2019-07-18 Samad Noeiaghdam , Emran Khoshrouye Ghiasi

Recombination is an important event in the evolution of HIV. It affects the global spread of the pandemic as well as evolutionary escape from host immune response and from drug therapy within single patients. Comprehensive computational…

Genomics · Quantitative Biology 2007-05-23 Niko Beerenwinkel , Colin N. Dewey , Kevin M. Woods

Multiscale mathematical models of hepatitis C infection have been instrumental in our understanding of direct acting antivirals. These models include the mechanisms driving intracellular viral production and explicitly model the…

Populations and Evolution · Quantitative Biology 2025-06-03 Tyler Cassidy , Giulia Belluccini , Sarafa A. Iyaniwura , Ruy M. Ribeiro , Alan S. Perelson

HIV RNA viral load (VL) is an important outcome variable in studies of HIV infected persons. There exists only a handful of methods which classify patients by viral load patterns. Most methods place limits on the use of viral load…

Quantitative Methods · Quantitative Biology 2018-05-01 Samir Farooq , Samuel J. Weisenthal , Melissa Trayhan , Robert J. White , Kristen Bush , Peter R. Mariuz , Martin S. Zand

Estimating new HIV infections is significant yet challenging due to the difficulty in distinguishing between recent and long-term infections. We demonstrate that HIV recency status (recent v.s. long-term) could be determined from the…

Applications · Statistics 2024-11-13 Wenlong Yang , Danping Liu , Le Bao , Runze Li

Pathology tests are central to modern healthcare in terms of diagnosis and patient management. Aggregated pathology results provide opportunities for research into fundamental and applied questions in health and medicine, but data analytic…

Applications · Statistics 2022-05-05 N. Menon , B. A. Lidbury , A. M. Richardson

The vertebrate adaptive immune system provides a flexible and diverse set of molecules to neutralize pathogens. Yet, viruses such as HIV can cause chronic infections by evolving as quickly as the adaptive immune system, forming an…

Populations and Evolution · Quantitative Biology 2016-06-22 Armita Nourmohammad , Jakub Otwinowski , Joshua B. Plotkin

Microarray time course (MTC) gene expression data are commonly collected to study the dynamic nature of biological processes. One important problem is to identify genes that show different expression profiles over time and pathways that are…

Applications · Statistics 2008-12-18 Zhi Wei , Hongzhe Li

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

The minimum description length (MDL) principle states that the best model to account for some data minimizes the sum of the lengths, in bits, of the descriptions of the model and the residual error. The description length is thus a…

Quantitative Methods · Quantitative Biology 2015-07-21 Peter T. Hraber , Bette T. Korber , Steven Wolinsky , Henry A. Erlich , Elizabeth A. Trachtenberg , Thomas B. Kepler

This paper describes a novel approach to modeling homphily, i.e. the tendency of nodes that share (or differ in) certain attributes to be linked; we consider dynamic networks in which nodes can be added over time but not removed. Our…

Genomics · Quantitative Biology 2022-01-13 V. DeGruttola , M. Nakazawa , J. Liu , X. Tu , S. Little , S. Mehta

A dynamic model of non-lineal time-dependent ordinary differential equations (ODE) has been applied to the interactions of a HIV infection with the immune system cells. This model has been simplified into two compartments: lymph node and…

Cell Behavior · Quantitative Biology 2020-08-07 Miguel Ramos Pascual

We analyze 14,651 HIV1 reverse transcriptase (HIV RT) sequences from the Stanford HIV Drug Resistance Database labeled with treatment regimen in order to study the evolution this enzyme under drug selection in the clinic. Our goal is to…

Genomics · Quantitative Biology 2022-10-04 Shefali Qamar , Manel Camps , Jay Kim

Understanding how vaccines perform against different pathogen genotypes is crucial for developing effective prevention strategies, particularly for highly genetically diverse pathogens like HIV. Sieve analysis is a statistical framework…

Methodology · Statistics 2025-12-11 James Peng , Michal Juraska , Pamela A. Shaw , Peter B. Gilbert

Background. Several studies have used phylogenetics to investigate Human Immunodeficiency Virus (HIV) transmission among Men who have Sex with Men (MSMs) in Montreal, Quebec, Canada, revealing many transmission clusters. The Quebec HIV…