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In the realm of medical research, the intricate interplay of epidemiological risk, genomic activity, adverse events, and clinical response necessitates a nuanced consideration of multiple variables. Clinical trials, designed to meticulously…

Applications · Statistics 2023-11-28 María Paula Cantarini , Florencia Ayelén Hernández

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

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

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

We present a rigidity analysis on a large number of X-ray crystal structures of the enzyme HIV-1 protease using the 'pebble game' algorithm of the software FIRST. We find that although the rigidity profile remains similar across a…

Biomolecules · Quantitative Biology 2011-04-12 J. W. Heal , S. A. Wells , J. E. Jimenez-Roldan , R. F. Freedman , R. A. Roemer

In this study, we investigated the inhibition of SARS-CoV-2 spike glycoprotein with HIV drugs and their combinations. This glycoprotein is essential for the reproduction of the SARS-COV-2 virus, so its inhibition opens new avenues for the…

HIV-1 affects tens of millions of people worldwide. Current treatments often involve a cocktail of antiretroviral drugs, which are effective in reducing the virus and extending life spans. However, there is currently no FDA-approved HIV-1…

Populations and Evolution · Quantitative Biology 2020-05-26 Tin Phan , Catherine DeMarino , Fatah Kashanchi , Yang Kuang , Daniel M. Anderson , Maria Emelianenko

We study within-host HIV dynamics using a three--component nonlinear ordinary differential equation model for healthy CD4$^{+}$ T cells, infected CD4$^{+}$ T cells, and free virus. In addition to the baseline model without treatment, we…

Numerical Analysis · Mathematics 2025-12-16 Abdul Rab

In this paper, we investigate the dynamics of hepatitis B virus infection taking into account the implementation of combination therapy through mathematical modeling. This model is established considering the interplay between uninfected…

Cell Behavior · Quantitative Biology 2024-02-13 Rupchand Sutradhar , D C Dalal

Protein-protein and protein nucleic acid interactions are vitally important for a wide range of biological processes, including regulation of gene expression, protein synthesis, and replication and assembly of many viruses. We have…

Machine Learning · Computer Science 2007-05-23 Michael Terribilini , Jae-Hyung Lee , Changhui Yan , Robert L. Jernigan , Susan Carpenter , Vasant Honavar , Drena Dobbs

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

Anti-retroviral drugs can reduce the infectiousness of people living with HIV by about 96%--treatment as prevention or TasP--and can reduce the risk of being infected by an HIV positive person by about 70%--pre-exposure prophylaxis or…

Populations and Evolution · Quantitative Biology 2012-09-04 Brian G. Williams , Eleanor Gouws , John Hargrove , Cari van Schalkwyk , Hilmarie Brand

Drug resistance to HIV-1 Protease involves accumulation of multiple mutations in the protein. Here we investigate the role of these mutations by using molecular dynamics simulations which exploit the influence of the native-state topology…

Statistical Mechanics · Physics 2007-05-23 Fabio Cecconi , Cristian Micheletti , Paolo Carloni , Amos Maritan

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

The symmetrical network theory is a framework for understanding the immune system, that dates back to the mid 1970s. The symmetrical network theory is based on symmetrical stimulatory, inhibitory and killing interactions between clones that…

Populations and Evolution · Quantitative Biology 2008-12-31 Geoffrey W. Hoffmann

It is now evident that the commonly accepted strategy for treatment of HIV/AIDS by highly active antiretroviral therapy (HAART) will not lead to eradication of HIV in a reasonable time. This is straightforward from the typical exponential…

Tissues and Organs · Quantitative Biology 2007-06-22 E. E. Gabev , Evgeni B. Gabev , E. E. Gabev , M. V. Bogoeva

We propose a model for the human immunodeficiency virus type 1 (HIV-1) infection with intracellular delay and prove the local asymptotical stability of the equilibrium points. Then we introduce a control function representing the efficiency…

Optimization and Control · Mathematics 2017-11-01 Filipe Rodrigues , Cristiana J. Silva , Delfim F. M. Torres , Helmut Maurer

HIV-1 replication can be suppressed with antiretroviral therapy (ART), but individuals who stop taking ART soon become viremic again. Some people experience extended times of detectable viremia despite optimal adherence to ART. In the issue…

Biomolecules · Quantitative Biology 2025-06-02 Xiangshuai Liu

Due to the low density of envelope (Env) spikes on the surface of HIV-1, neutralizing IgG antibodies rarely bind bivalently using both antigen-binding arms (Fabs) to crosslink between spikes (inter-spike crosslinking), instead resorting to…

Biomolecules · Quantitative Biology 2022-07-27 Tal Einav , Shahrzad Yazdi , Aaron Coey , Pamela J. Bjorkman , Rob Phillips

In this paper we consider the evolution of the HIV infection under a highly effective treatment based on a combination of RTI and/or PI drugs. This is usually modelled with a set of ODEs where the drug efficacy is a constant. In this paper…

Populations and Evolution · Quantitative Biology 2007-05-23 G. Della Rocca , M. Sammartino , L. Seta