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Antimicrobial resistance is a threat to public health with millions of deaths linked to drug resistant infections every year. To mitigate resistance, common strategies that are used are combination therapies and therapy switching. However,…

Populations and Evolution · Quantitative Biology 2025-06-02 Juan Magalang , Javier Aguilar , Jose Perico Esguerra , Édgar Roldán , Daniel Sanchez-Taltavull

Due to the persistence of latently infected CD4$^+$ T cells, achieving a functional cure for HIV-1 remains a significant challenge since the viruses are able to evade immune clearance, which in turn enables post-treatment viral rebound.…

Biological Physics · Physics 2025-09-10 Mesfin Taye

The evolution of drug resistance in HIV occurs by the fixation of specific, well-known, drug-resistance mutations, but the underlying population genetic processes are not well understood. By analyzing within-patient longitudinal sequence…

Populations and Evolution · Quantitative Biology 2013-11-15 Pleuni Pennings , Sergey Kryazhimskiy , John Wakeley

Human immunodeficiency virus (HIV) evolves with extraordinary rapidity. However, its evolution is constrained by interactions between mutations in its fitness landscape. Here we show that an Ising model describing these interactions,…

Populations and Evolution · Quantitative Biology 2016-02-24 Thomas C. Butler , John P. Barton , Mehran Kardar , Arup K. Chakraborty

Broadly neutralizing antibodies are promising candidates for treatment and prevention of HIV-1 infections. Such antibodies can temporarily suppress viral load in infected individuals; however, the virus often rebounds by escape mutants that…

Populations and Evolution · Quantitative Biology 2022-10-12 Matthijs Meijers , Kanika Vanshylla , Henning Gruell , Florian Klein , Michael Laessig

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

Sequential monotherapy is the most widely used therapeutic approach in the treatment of HBV chronic infection. Unfortunately, under therapy, in some patients the hepatitis virus mutates and gives rise to variants which are drug resistant.…

Probability · Mathematics 2013-05-01 Daniela Bertacchi , Fabio Zucca , Sergio Foresti , Davide Mangioni , Andrea Gori

We consider the motion of a randomly accelerated particle in one dimension under stochastic resetting mechanism. Denoting the position and velocity by $x$ and $v$ respectively, we consider two different resetting protocols - (i) complete…

Statistical Mechanics · Physics 2020-10-07 Prashant Singh

Stochastic restarting is a strategy of starting anew. Incorporation of the resetting to the random walks can result in the decrease of the mean first passage time, due to the ability to limit unfavorably meandering, sub-optimal…

Statistical Mechanics · Physics 2023-11-08 Karol Capała , Bartłomiej Dybiec

In this work, we investigate the population dynamics of tumor cells under therapeutic pressure. Although drug treatment initially induces a reduction in tumor burden, treatment failure frequently occurs over time due to the emergence of…

Probability · Mathematics 2025-10-02 Kevin Leder , Zicheng Wang , Xuanming Zhang

While chemoresistance in primary tumors is well-studied, much less is known about the influence of systemic chemotherapy on the development of drug resistance at metastatic sites. In this work, we use a hybrid spatial model of tumor…

Tissues and Organs · Quantitative Biology 2016-03-04 Ami B. Shah , Katarzyna A. Rejniak , Jana L. Gevertz

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

In many physical situations, there appears the problem of reaching a single target that is spatially distributed. Here we analyse how stochastic resetting, also spatially distributed, can be used to improve the search process when the…

Statistical Mechanics · Physics 2023-11-22 Gregorio García-Valladares , Carlos A. Plata , Antonio Prados , Alessandro Manacorda

This paper investigates the effect of drug treatment on the standard within-host HIV model, assuming that therapy occurs periodically. It is shown that eradication is possible under these periodic regimes, and we quantitatively characterize…

Other Quantitative Biology · Quantitative Biology 2008-01-30 Patrick De Leenheer

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

Horizontal gene transfer consists in exchanging genetic materials between microorganisms during their lives. This is a major mechanism of bacterial evolution and is believed to be of main importance in antibiotics resistance. We consider a…

Probability · Mathematics 2019-12-18 Nicolas Champagnat , Sylvie Méléard , Viet Chi Tran

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

Massive research efforts are now underway to develop a cure for HIV infection, allowing patients to discontinue lifelong combination antiretroviral therapy (ART). New latency-reversing agents (LRAs) may be able to purge the persistent…

Populations and Evolution · Quantitative Biology 2014-08-07 Alison L. Hill , Daniel I. S. Rosenbloom , Feng Fu , Martin A. Nowak , Robert F. Siliciano

Drug resistance remains a major problem for the treatment of HIV. Resistance can occur due to mutations that were present before treatment starts or due to mutations that occur during treatment. The relative importance of these two sources…

Populations and Evolution · Quantitative Biology 2015-06-03 Pleuni S. Pennings

Diffusion with an incorporated resetting mechanism provides a reference framework for modeling a wide range of natural phenomena. Within this framework, the optimal resetting rate is a key quantity that arises from the optimization of the…

Statistical Mechanics · Physics 2026-05-12 Pedro Julián-Salgado , Pavel Castro-Villarreal , Leonardo Dagdug , Denis Boyer
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