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We consider a general mathematical model of a within-host viral infection with $n$ virus strains and explicit age-since-infection structure for infected cells. In the model, multiple virus strains compete for a population of target cells.…

Populations and Evolution · Quantitative Biology 2014-05-28 Cameron J. Browne

This study conducts a comparative analysis of stochastic and deterministic models to better understand the dynamics of the HIV epidemic across genders. By incorporating gender-specific transmission probabilities and treatment uptake rates,…

Populations and Evolution · Quantitative Biology 2025-01-30 Nuzhat Nuari Khan Rivu , Md Kamrujjaman , Shohel Ahmed

Most non-synonymous mutations are thought to be deleterious because of their effect on protein sequence. These polymorphisms are expected to be removed or kept at low frequency by the action of natural selection, and rare deleterious…

Populations and Evolution · Quantitative Biology 2013-08-05 Sofiane Mezmouk , Jeffrey Ross-Ibarra

In a short article submitted to ArXiv [1], Maddamsetti et al. argue that the variation in the neutral mutation rate among genes in Escherichia coli that we recently reported [2] might be explained by horizontal gene transfer (HGT). To…

Populations and Evolution · Quantitative Biology 2012-11-08 Inigo Martincorena , Nicholas M. Luscombe

Motivated by observations in sequence data of herpesviruses, we introduce a multi-locus model for the joint evolution of different genotypes in a virus population that is distributed across a population of hosts. In the model, virus…

Populations and Evolution · Quantitative Biology 2025-09-24 Raphael Eichhorn , Cornelia Pokalyuk

We report a first in modeling and simulation of the effects of the HIV proteins on the (caspase dependent) apoptotic pathway in infected cells. This work is novel and is an extension on the recent reports and clarifications on the FAS…

Molecular Networks · Quantitative Biology 2007-05-23 John Jack , Andrei Paun

We introduce and analyze a within-host dynamical model of the coevolution between rapidly mutating pathogens and the adaptive immune response. Pathogen mutation and a homeostatic constraint on lymphocytes both play a role in allowing the…

Populations and Evolution · Quantitative Biology 2014-08-06 Kimberly J. Schlesinger , Sean P. Stromberg , Jean M. Carlson

Dynamic models have been successfully used in producing estimates of HIV epidemics at national level, due to their epidemiological nature and their ability to simultaneously estimate prevalence, incidence, and mortality rates. Recently, HIV…

Methodology · Statistics 2016-02-19 Le Bao , Ben Sheng , Xiaoyue Niu , Yuan Tang , Tim Brown , Peter D. Ghys , Jeff W. Eaton

A central question is how the conformational changes of proteins affect their function and the inhibition of this function by drug molecules. Many enzymes change from an open to a closed conformation upon binding of substrate or inhibitor…

Biomolecules · Quantitative Biology 2013-02-19 Thomas R. Weikl , Bahram Hemmateenejad

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

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

The human genome encodes a family of editing enzymes known as APOBEC3 (apolipoprotein B mRNA editing enzyme, catalytic polypeptide-like 3). Several family members, such as APO-BEC3G, APOBEC3F, and APOBEC3H haplotype II, exhibit activity…

Genomics · Quantitative Biology 2023-11-14 Khadijeh , Jahanian , Elnaz Shalbafian , Morteza Saberi , Roohallah Alizadehsani , Iman Dehzangi

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

Most new mutations are deleterious and are eventually eliminated by natural selection. But in an adapting population, the rapid amplification of beneficial mutations can hinder the removal of deleterious variants in nearby regions of the…

Populations and Evolution · Quantitative Biology 2014-05-16 Benjamin H Good , Michael M Desai

Tuberculosis (TB) and human immunodeficiency virus (HIV) can be considered a deadly human syndemic. In this article, we formulate a model for TB and HIV transmission dynamics. The model considers both TB and acquired immune deficiency…

Dynamical Systems · Mathematics 2014-07-15 Cristiana J. Silva , Delfim F. M. Torres

Horizontal gene transfer is an important factor in bacterial evolution that can act across species boundaries. Yet, we know little about rate and genomic targets of cross-lineage gene transfer, and about its effects on the recipient…

Populations and Evolution · Quantitative Biology 2022-10-12 Jeffrey J. Power , Fernanda Pinheiro , Simone Pompei , Viera Kovacova , Melih Yüksel , Isabel Rathmann , Mona Förster , Michael Lässig , Berenike Maier

We study an abstract model for the co-evolution between mutating viruses and the adaptive immune system. In sequence space, these two populations are localized around transiently dominant strains. Delocalization or error thresholds exhibit…

Populations and Evolution · Quantitative Biology 2015-06-22 Alexander Seeholzer , Erwin Frey , Benedikt Obermayer

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

Combination Antiretroviral Therapy (cART) succeeds to control viral replication in most HIV infected patients. This is normally followed by a reconstitution of the CD4$^+$ T cells pool; however, this does not happen for a substantial…

Applications · Statistics 2016-02-18 Ana Jarne , Daniel Commenges , Mélanie Prague , Yves Levy , Rodolphe Thiébaut

An investigation was conducted to study the robustness of the results obtained from the cellular automata model which describes the spread of the HIV infection within lymphoid tissues [R. M. Zorzenon dos Santos and S. Coutinho, Phys. Rev.…

Biological Physics · Physics 2008-07-21 P. H. Figueirêdo , S. Coutinho , R. M. Zorzenon dos Santos
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