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We use a cellular automata model to study the evolution of HIV infection and the onset of AIDS. The model takes into account the global features of the immune response to any pathogen, the fast mutation rate of the HIV and a fair amount of…

Statistical Mechanics · Physics 2009-10-31 Rita Maria Zorzenon dos Santos , Sergio Coutinho

In this work we introduce a differential equation model with time-delay that describes the three-stage dynamics and the two time scales observed in HIV infection. Assuming that the virus has high mutation and rapid reproduction rates that…

Biological Physics · Physics 2015-03-13 Flora S. Bacelar , Roberto F. S. Andrade , Rita M. Zorzenon dos Santos

The precise mechanism that causes HIV infection to progress to AIDS is still unknown. This paper presents a mathematical model which is able to predict the entire trajectory of the HIV/AIDS dynamics, then a possible explanation for this…

Cell Behavior · Quantitative Biology 2015-03-19 Esteban A. Hernandez-Vargas , Dhagash Mehta , Richard H. Middleton

AIDS is the pandemic of our era. A disease that scares us not only because it is fatal but also because its insidious time course makes us all potential carriers long before it hands us our heads in a basket. The strange three stage…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Uri Hershberg , Yoram Louzoun , Henri Atlan , Sorin Solomon

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

Multiple mechanisms in the HIV lifecycle play a role in its ability to evade therapy and become a chronic, difficult-to-treat infection. Within its major cellular target, the activated T cell, many steps occur between viral entry and viral…

Cell Behavior · Quantitative Biology 2017-12-04 Jayodita C. Sanghvi , Don Mai , Adam P. Arkin , David V. Schaffer

Chronic infections of the human immunodeficiency virus (HIV) create a very complex co-evolutionary process, where the virus tries to escape the continuously adapting host immune system. Quantitative details of this process are largely…

Populations and Evolution · Quantitative Biology 2022-07-27 Andrea Mazzolini , Thierry Mora , Aleksandra M Walczak

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

Reliable estimation of spatio-temporal trends in population-level HIV incidence is becoming an increasingly critical component of HIV prevention policy-making. However, direct measurement is nearly impossible. Current, widely used models…

Applications · Statistics 2019-12-04 Timothy M Wolock , Seth R Flaxman , Jeffrey W Eaton

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

The search to understand how the HIV virus spreads inside the human body and how the immune response works to control it has motivated studies related to Mathematical Immunology. Actually, researches include the idea of mathematical models…

Populations and Evolution · Quantitative Biology 2016-01-19 Marcelo Margon Rossi , Luis Fernandez Lopez

With the launch of second line anti-retroviral therapy for HIV infected individuals, there has been an increased expectation on surviving period of people with HIV. We consider previously well-known models in HIV epidemiology where the…

Quantitative Methods · Quantitative Biology 2021-06-15 Arni S. R. Srinivasa Rao

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

HIV-1 can disseminate between susceptible cells by two mechanisms: cell-free infection following fluid-phase diffusion of virions and by highly-efficient direct cell-to-cell transmission at immune cell contacts. The contribution of this…

Populations and Evolution · Quantitative Biology 2024-01-02 Changwang Zhang , Shi Zhou , Elisabetta Groppelli , Pierre Pellegrino , Ian Williams , Persephone Borrow , Benjamin M. Chain , Clare Jolly

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 study the early stages of viral infection, and the distribution of times to obtain a persistent infection. The virus population proliferates by entering and reproducing inside a target cell until a sufficient number of new virus…

Populations and Evolution · Quantitative Biology 2019-07-11 Carmel Sagi , Michael Assaf

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

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

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

HIV is a deadly virus transmitted either through having of unprotected sex, mother to child transmission, sharing of unsterilized objects that is capable of making cut or wounds on the body, through blood or bodily fluid transmission. AIDS…

Populations and Evolution · Quantitative Biology 2016-09-19 M. O. Oladejo , Ali Onuche John
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