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The cellular adaptive immune response plays a key role in resolving influenza infection. Experiments where individuals are successively infected with different strains within a short timeframe provide insight into the underlying viral…

Populations and Evolution · Quantitative Biology 2016-11-24 Ada W. C. Yan , Pengxing Cao , Jane M. Heffernan , Jodie McVernon , Kylie M. Quinn , Nicole L. La Gruta , Karen L. Laurie , James M. McCaw

We propose a type-dependent branching model with mutation and competition for modeling phylogenies of a virus population. The competition kernel depends for any two virus particles on the particles' types, the total mass of the population…

Probability · Mathematics 2017-05-10 Sandra Kliem , Anita Winter

The host immune response can often efficiently suppress a virus infection, which may lead to selection for immune-resistant viral variants within the host. For example, during HIV infection, an array of CTL immune response populations…

Populations and Evolution · Quantitative Biology 2018-02-23 Cameron J. Browne , Hal L. Smith

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

RNA viruses exist in large intra-host populations which display great genotypic and phenotypic diversity. We analyze a model of viral competition between two different viral strains infecting a constantly replenished cell pool, in which we…

Populations and Evolution · Quantitative Biology 2011-01-18 Edgar Delgado-Eckert , Samuel Ojosnegros , Niko Beerenwinkel

Viral kinetics have been extensively studied in the past through the use of spatially homogeneous ordinary differential equations describing the time evolution of the diseased state. However, spatial characteristics such as localized…

Cell Behavior · Quantitative Biology 2007-05-23 Catherine Beauchemin , John Samuel , Jack Tuszynski

Background: Influenza A/H3N2 has been circulating in humans since 1968, causing considerable morbidity and mortality. Although H3N2 incidence is highly seasonal, how such seasonality contributes to global phylogeographic migration dynamics…

Populations and Evolution · Quantitative Biology 2015-02-06 Daniel Zinder , Trevor Bedford , Edward B. Baskerville , Robert J. Woods , Manojit Roy , Mercedes Pascual

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

We introduce a generalized version of the frog model to describe the invasion of a parasite population in a spatially structured immobile host population with host immunity on the integer line. Parasites move according to simple symmetric…

Probability · Mathematics 2025-02-17 Sascha Franck , Cornelia Pokalyuk

RNA viruses are a widely used tool to study evolution experimentally. Many standard protocols of virus propagation and competition are done at nominally low multiplicity of infection (m.o.i.), but lead during one passage to two or more…

Populations and Evolution · Quantitative Biology 2007-05-23 Claus O. Wilke , Daniel D. Reissig , Isabel S. Novella

Viral kinetics have been extensively studied in the past through the use of spatially well-mixed ordinary differential equations describing the time evolution of the diseased state. However, emerging spatial structures such as localized…

Cell Behavior · Quantitative Biology 2024-04-02 Catherine Beauchemin

One strategy for winning a coevolutionary struggle is to evolve rapidly. Most of the literature on host-pathogen coevolution focuses on this phenomenon, and looks for consequent evidence of coevolutionary arms races. An alternative…

Populations and Evolution · Quantitative Biology 2012-11-14 Erick Chastain , Rustom Antia , Carl T. Bergstrom

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 suggest to simulate evolution of complex organisms constrained by the sole requirement of robustness in their expression patterns. This scenario is illustrated by evolving discrete logical networks with epigenetic properties. Evidence…

Statistical Mechanics · Physics 2007-05-23 Stefan Bornholdt , Kim Sneppen

This contribution is devoted to a new model of HIV multiplication motivated by the patent of one of the authors. We take into account the antigenic diversity through what we define "antigenicity", whether of the virus or of the adapted…

Numerical Analysis · Mathematics 2011-02-02 François Dubois , Hervé Le Meur , Claude Reiss

We study some simple mathematical models designed to test the following hypothesis: can a pathogen escape the immune system only because of its high probability of mutation? We propose both spatial and non-spatial models. In all of our…

Probability · Mathematics 2007-05-23 Rinaldo Schinazi , Jason Schweinsberg

The emergence or adaptation of pathogens may lead to epidemics, highlighting the need for a thorough understanding of pathogen evolution. The tradeoff hypothesis suggests that virulence evolves to reach an optimal transmission intensity…

Populations and Evolution · Quantitative Biology 2024-12-09 Daniel A. M. Villela

The evolution of the hemagglutinin amino acids sequences of Influenza A virus is studied by a method based on an informational metrics, originally introduced by Rohlin for partitions in abstract probability spaces. This metrics does not…

Populations and Evolution · Quantitative Biology 2015-06-03 Raffaella Burioni , Riccardo Scalco , Mario Casartelli

In this work we analyze the evolution of voluntary vaccination in networked populations by entangling the spreading dynamics of an influenza-like disease with an evolutionary framework taking place at the end of each influenza season so…

Physics and Society · Physics 2013-09-11 Alessio Cardillo , Catalina Reyes-Suárez , Fernando Naranjo , Jesús Gómez-Gardeñes

In this letter we study the full semi-conservative treatment of a model for the co-evolution of a virus and an adaptive immune system. Regions of viability are calculated for both conservatively and semi-conservatively replicating viruses…

Populations and Evolution · Quantitative Biology 2009-11-10 Yisroel Brumer , Eugene I. Shakhnovich