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Multiscale mathematical models of hepatitis C infection have been instrumental in our understanding of direct acting antivirals. These models include the mechanisms driving intracellular viral production and explicitly model the…

Populations and Evolution · Quantitative Biology 2025-06-03 Tyler Cassidy , Giulia Belluccini , Sarafa A. Iyaniwura , Ruy M. Ribeiro , Alan S. Perelson

Microbiological systems evolve to fulfill their tasks with maximal efficiency. The immune system is a remarkable example, where self-non self distinction is accomplished by means of molecular interaction between self proteins and antigens,…

Cell Behavior · Quantitative Biology 2013-08-26 Marcio Argollo de Menezes , Edgardo Brigatti , Veit Schwämmle

In this paper, we construct a model to describe the transmission of HIV in a homogeneous host population. By considering the specific mechanism of HIV, we derive a model structured in three successive stages: (i) primary infection, (ii)…

Analysis of PDEs · Mathematics 2019-11-18 Mboya Ba , Ramsès Djidjou-Demasse , Mountaga Lam , Jean-Jules Tewa

Oxidative stress, a reaction caused by the imbalance between the reactive oxygen species of human organism and its ability to detoxify reactive intermediates and to repair the resulting damage plays an important role in HIV-infections. On…

Populations and Evolution · Quantitative Biology 2018-08-08 Shaoli Wang , Fei Xu , Xinyu Song

Antibody therapies have been employed to address some of today's most challenging diseases, but must meet many criteria during drug development before reaching a patient. Humanization is a sequence optimization strategy that addresses one…

Machine Learning · Computer Science 2024-12-10 Cade Gordon , Aniruddh Raghu , Peyton Greenside , Hunter Elliott

We have developed a mathematical model for in-host virus dynamics that includes spatial chemotaxis and diffusion across a two dimensional surface representing the vaginal or rectal epithelium at primary HIV infection. A linear stability…

Quantitative Methods · Quantitative Biology 2016-03-07 Ognjen Stancevic , Christopher Angstmann , John M. Murray , Bruce I. Henry

The rates of escape and reversion in response to selection pressure arising from the host immune system, notably the cytotoxic T-lymphocyte (CTL) response, are key factors determining the evolution of HIV. Existing methods for estimating…

Populations and Evolution · Quantitative Biology 2013-02-12 Duncan Palmer , John Frater , Rodney Philips , Angela McLean , Gil McVean

Cellular heterogeneity is an immanent property of biological systems that covers very different aspects of life ranging from genetic diversity to cell-to-cell variability driven by stochastic molecular interactions, and noise induced cell…

Quantitative Methods · Quantitative Biology 2021-09-15 Niko Komin , Alexander Skupin

Recent advances in diffusion models have shown remarkable potential for antibody design, yet existing approaches apply uniform generation strategies that cannot adapt to each antigen's unique requirements. Inspired by B cell affinity…

Machine Learning · Computer Science 2025-08-19 Hanqi Feng , Peng Qiu , Mengchun Zhang , Yiran Tao , You Fan , Jingtao Xu , Barnabas Poczos

Epidemic processes are used commonly for modeling and analysis of biological networks, computer networks, and human contact networks. The idea of competing viruses has been explored recently, motivated by the spread of different ideas along…

Optimization and Control · Mathematics 2017-05-16 Philip E. Paré , Ji Liu , Carolyn L. Beck , Angelia Nedić , Tamer Başar

We study Eigen's model of quasi-species, characterized by sequences that replicate with a specified fitness and mutate independently at single sites. The evolution of the population vector in time is then closely related to that of quantum…

Statistical Mechanics · Physics 2021-02-12 Saumya Shivam , Christopher L. Baldwin , John Barton , Mehran Kardar , S. L. Sondhi

Several pathogens use evolvability as a survival strategy against acquired immunity of the host. Despite their high variability in time, some of them exhibit quite low variability within the population at any given time, a somehow…

Populations and Evolution · Quantitative Biology 2011-08-31 Ginestra Bianconi , Davide Fichera , Silvio Franz , Luca Peliti

Development of resistance limits efficiency of present anticancer therapies and preventing it remains big challenge in cancer research. It is accepted, at intuitive level, that the resistance emerges as a consequence of cancer cells…

Quantitative Methods · Quantitative Biology 2015-06-02 Branislav Brutovsky , Denis Horvath

Biological organisms have evolved a wide range of immune mechanisms to defend themselves against pathogens. Beyond molecular details, these mechanisms differ in how protection is acquired, processed and passed on to subsequent generations…

Populations and Evolution · Quantitative Biology 2016-12-26 Andreas Mayer , Thierry Mora , Olivier Rivoire , Aleksandra M. Walczak

Purpose: We seek to use neural networks (NNs) to solve a well-known system of differential equations describing the balance between T cells and HIV viral burden. Materials and Methods: In this paper, we employ a 3-input parallel NN to…

Quantitative Methods · Quantitative Biology 2021-02-18 Joseph Stember , Parvathy Jayan , Hrithwik Shalu

During an infection, HIV experiences strong selection by immune system T cells. Recent experimental work has shown that MHC escape mutations form an important pathway for HIV to avoid such selection. In this paper, we study a model of MHC…

Probability · Mathematics 2009-09-02 Sivan Leviyang

Simulating the evolution of the Human Immunodeficiency Virus (HIV) epidemic requires a detailed description of the population network, especially for small populations in which individuals can be represented in detail and accuracy. In this…

Multiagent Systems · Computer Science 2009-02-16 Shan Mei , P. M. A Sloot , Rick Quax , Yifan Zhu , Weiping Wang

B cell receptor sequences diversify through mutations introduced by purpose-built cellular machinery. A recent paper has concluded that a "templated mutagenesis" process is a major contributor to somatic hypermutation, and therefore…

Populations and Evolution · Quantitative Biology 2020-07-06 Julia Fukuyama , Branden J Olson , Frederick A Matsen

We revisit the SICA (Susceptible-Infectious-Chronic-AIDS) mathematical model for transmission dynamics of the human immunodeficiency virus (HIV) with varying population size in a homogeneously mixing population. We consider SICA models…

Populations and Evolution · Quantitative Biology 2020-08-10 Cristiana J. Silva , Delfim F. M. Torres

RNA viruses comprise vast populations of closely related, but highly genetically diverse, entities known as quasispecies. Understanding the mechanisms by which this extreme diversity is generated and maintained is fundamental when…

Populations and Evolution · Quantitative Biology 2021-05-27 Luiza Guimarães , Diogo Castro , Bruno Gorzoni , Luiz Mario Ramos Janini , Fernando Antoneli