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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

Access to combination antiretroviral treatment (ART) has improved greatly over recent years. At the end of 2011, more than eight million HIV infected people were receiving antiretroviral therapy in low-income and middle-income countries.…

Populations and Evolution · Quantitative Biology 2013-01-25 Pleuni S. Pennings

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

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

Motivation: HIV is difficult to treat because its virus mutates at a high rate and mutated viruses easily develop resistance to existing drugs. If the relationships between mutations and drug resistances can be determined from historical…

Quantitative Methods · Quantitative Biology 2019-07-08 Li Xing , Mary Lesperance , Xuekui Zhang

Non-genetic forms of antimicrobial drug resistance can result from cell-to-cell variability that is not encoded in the genetic material. Data from recent studies also suggest that non-genetic mechanisms can facilitate the development of…

Populations and Evolution · Quantitative Biology 2022-06-23 Kevin S. Farquhar , Samira Rasouli Koohi , Daniel A. Charlebois

A central challenge in Human Immunodeficiency Virus (HIV) public health policy lies in determining whether to universally expand treatment access, despite the risk of sub-optimal adherence and consequent drug resistance, or to adopt a more…

Quantitative Methods · Quantitative Biology 2025-07-16 Ashish Poonia , Siddhartha P. Chakrabarty

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

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

We consider the standard three-component differential equation model for the growth of an HIV virion population in an infected host in the absence of drug therapy. The dynamical properties of the model are determined by the set of values of…

Populations and Evolution · Quantitative Biology 2011-07-19 Henry C Tuckwell , Patrick D Shipman

Drug gradients are believed to play an important role in the evolution of bacteria resistant to antibiotics and tumors resistant to anti-cancer drugs. We use a statistical physics model to study the evolution of a population of malignant…

Populations and Evolution · Quantitative Biology 2015-06-04 Philip Greulich , Bartlomiej Waclaw , Rosalind J. Allen

Acquired resistance is one of the major barriers to successful cancer therapy. The development of resistance is commonly attributed to genetic heterogeneity. However, heterogeneity of drug penetration of the tumor microenvironment both on…

Populations and Evolution · Quantitative Biology 2015-08-19 Feng Fu , Martin A. Nowak , Sebastian Bonhoeffer

RNA viruses provide prominent examples of measurably evolving populations. In HIV infection, the development of drug resistance is of particular interest, because precise predictions of the outcome of this evolutionary process are a…

Populations and Evolution · Quantitative Biology 2010-03-04 Niko Beerenwinkel , Mathias Drton

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

Drug resistance is a serious public health problem that threatens to thwart our ability to treat many infectious diseases. Repeatedly, the introduction of new drugs has been followed by the evolution of resistance. In principle there are…

Populations and Evolution · Quantitative Biology 2013-07-11 Nathan S. McClure , Troy Day

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

Antimicrobial resistance is an emerging global health crisis that is undermining advances in modern medicine and, if unmitigated, threatens to kill 10 million people per year worldwide by 2050. Research over the last decade has demonstrated…

Quantitative Methods · Quantitative Biology 2020-09-24 K. Farquhar , H. Flohr , D. A. Charlebois

Multidrug resistance consists of a series of genetic and epigenetic alternations that involve multifactorial and complex processes, which are a challenge to successful cancer treatments. Accompanied by advances in biotechnology and…

Populations and Evolution · Quantitative Biology 2022-04-19 Heyrim Cho , Doron Levy

$\textbf{Background:}$ High mutability of HIV is the driving force of antiretroviral drug resistance, which represents a medical care challenge. $\textbf{Method and Model Equation:}$ To detect the mutability of each gene in the HIV-1…

Other Quantitative Biology · Quantitative Biology 2019-11-11 Eslam Abbas

We study minimal mean-field models of viral drug resistance development in which the efficacy of a therapy is described by a one-dimensional stochastic resetting process with mixed reflecting-absorbing boundary conditions. We derive…

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