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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

Cytotoxic T-lymphocytes (CTLs) recognize viral protein fragments displayed by major histocompatibility complex (MHC) molecules on the surface of virally infected cells and generate an anti-viral response that can kill the infected cells.…

Populations and Evolution · Quantitative Biology 2014-03-25 Taylor A. Kessinger , Alan S. Perelson , Richard A. Neher

The rates of escape and reversion in response to selection pressure arising from the host immune system, notably the cytotoxic T-lymphocyte (CTL) response, are key factors determining the evolution of HIV. Existing methods for estimating…

Populations and Evolution · Quantitative Biology 2013-02-12 Duncan Palmer , John Frater , Rodney Philips , Angela McLean , Gil McVean

The twin processes of viral evolutionary escape and reversion in response to host immune pressure, in particular the cytotoxic T-lymphocyte (CTL) response, shape Human Immunodeficiency Virus-1 sequence evolution in infected host…

In this work we develop a stochastic model of acute HIV infection, based on the well-known standard model, that allows us to simulate the complex mutation pathways of HIV escape from multiple CTL responses. Under this model, we describe two…

Populations and Evolution · Quantitative Biology 2012-08-16 Sivan Leviyang

In early HIV infection, the virus population escapes from multiple CD8+ cell responses. The later an escape mutation emerges, the slower it outgrows its competition, i. e. the escape rate is lower. This pattern could indicate that the…

Populations and Evolution · Quantitative Biology 2014-09-30 Victor Garcia , Roland Regoes

A delayed model describing the dynamics of HIV (Human Immunodeficiency Virus) with CTL (Cytotoxic T Lymphocytes) immune response is investigated. The model includes four nonlinear differential equations describing the evolution of…

Optimization and Control · Mathematics 2018-06-13 Karam Allali , Sanaa Harroudi , Delfim F. M. Torres

In [Math. Comput. Sci. 12 (2018), no. 2, 111--127], a delayed model describing the dynamics of the Human Immunodeficiency Virus (HIV) with Cytotoxic T Lymphocytes (CTL) immune response is investigated by Allali, Harroudi and Torres. Here,…

Dynamical Systems · Mathematics 2022-10-03 Sandra Vaz , Delfim F. M. Torres

Cytotoxic T lymphocytes (CTLs) are immune system cells that are thought to play an important role in controlling HIV infection. We develop a stochastic ODE model of HIV-CTL interaction that extends current deterministic ODE models. Based on…

Populations and Evolution · Quantitative Biology 2011-08-04 Sivan Leviyang

One way in which the human immunodeficiency virus (HIV-1) replicates within a host is by infecting activated CD4+ T-cells, which then produce additional copies of the virus. Even with the introduction of antiretroviral drug therapy, which…

Dynamical Systems · Mathematics 2016-04-18 Stephen Pankavich

The progression of complex human diseases is associated with critical transitions across dynamical regimes. These transitions often spawn early-warning signals and provide insights into the underlying disease-driving mechanisms. In this…

Quantitative Methods · Quantitative Biology 2019-10-24 Pejman F. Ghalati , Satya S. Samal , Jayesh S. Bhat , Robert Deisz , Gernot Marx , Andreas Schuppert

We propose a time-parameterized analogy between the thermodynamic behavior of a 3-level energy system and the progression of the HIV infection described by the cell population evolution generated by an appropriated cellular automata model.…

Populations and Evolution · Quantitative Biology 2020-06-24 Ramón E. R. González , P. H. Figueirêdo , S. Coutinho

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

Recent clinical studies have shown that HIV disease pathogenesis can depend strongly on many factors at the time of transmission, including the strength of the initial viral load and the local availability of CD4+ T-cells. In this article,…

Populations and Evolution · Quantitative Biology 2019-10-15 Stephen Pankavich , Nathan Neri , Deborah Shutt

We analyze a within-host model of virus infection with antibody and CD8+ cytotoxic T lymphocyte (CTL) responses proposed by Schwartz et al. (2013). The goal of this work is to gain an overview of the stability of the biologically-relevant…

Populations and Evolution · Quantitative Biology 2022-02-14 Tyler Meadows , Elissa J. Schwartz

Two factors that are often ignored but could play a crucial role in the progression of an infectious disease are the distributions of inherent susceptibility ($\sigma_{inh}$) and external infectivity ($\iota_{ext}$), in a given population.…

Populations and Evolution · Quantitative Biology 2021-01-01 Saumyak Mukherjee , Sayantan Mondal , Biman Bagchi

A ternary reaction-diffusion model for early HIV infection dynamics, incorporating logistic growth of target cells, is introduced. According to in vitro and in vivo studies, random movement of target cells, infected cells, and virions and a…

Populations and Evolution · Quantitative Biology 2024-10-21 Florinda Capone , Roberta De Luca , Vincenzo Luongo

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

Within-host genetic sequencing from samples collected over time provides a dynamic view of how viruses evade host immunity. Immune-driven mutations might stimulate neutralization breadth by selecting antibodies adapted to cycles of immune…

The Time Since Infection (TSI) models, which use disease surveillance data to model infectious diseases, have become increasingly popular due to their flexibility and capacity to address complex disease control questions. However, a notable…

Methodology · Statistics 2025-01-10 Jiasheng Shi , Yizhao Zhou , Jing Huang
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