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An interesting inference drawn by some Covid-19 epidemiological models is that there exists a proportion of the population who are not susceptible to infection -- even at the start of the current pandemic. This paper introduces a model of…

Quantitative Methods · Quantitative Biology 2020-09-18 Thomas Parr , Anjali Bhat , Peter Zeidman , Aimee Goel , Alexander J. Billig , Rosalyn Moran , Karl J. Friston

Here we study how mutations which change physical properties of cell proteins (stability) impact population survival and growth. In our model the genotype is presented as a set of N numbers, folding free energies of cells N proteins.…

Biomolecules · Quantitative Biology 2009-03-10 Peiqiu Chen , Eugene I. Shakhnovich

We introduce and discuss a minimal individual-based model for influenza dynamics. The model takes into account the effects of specific immunization against viral strains, but also infectivity randomness and the presence of a short-lived…

Populations and Evolution · Quantitative Biology 2009-11-11 Francesca Tria , Michael Laessig , Luca Peliti , Silvio Franz

The outbreak of mutant strains and vaccination behaviors have been the focus of recent epidemiological research, but most existing epidemic models failed to simultaneously capture viral mutation and consider the complexity and behavioral…

Populations and Evolution · Quantitative Biology 2026-01-16 Wenjie Zhang , Yusheng Li , Qin Li , Guojun Huang , Minyu Feng

Since its emergence in 1968, influenza A (H3N2) has evolved extensively in genotype and antigenic phenotype. Antigenic evolution occurs in the context of a two-dimensional 'antigenic map', while genetic evolution shows a characteristic…

Populations and Evolution · Quantitative Biology 2011-11-22 Trevor Bedford , Andrew Rambaut , Mercedes Pascual

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

Organisms have evolved immune systems that can counter pathogenic threats. The adaptive immune system in vertebrates consists of a diverse repertoire of immune receptors that can dynamically reorganize to specifically target the…

Populations and Evolution · Quantitative Biology 2024-10-29 Quinn N Bellamy , Zachary Montague , Luca Peliti , Armita Nourmohammad

Although traditional models of epidemic spreading focus on the number of infected, susceptible and recovered individuals, a lot of attention has been devoted to integrate epidemic models with population genetics. Here we develop an…

Populations and Evolution · Quantitative Biology 2021-11-24 Vitor M. Marquioni , Marcus A. M. de Aguiar

Predicting evolution of expanding populations is critical to control biological threats such as invasive species and cancer metastasis. Expansion is primarily driven by reproduction and dispersal, but nature abounds with examples of…

Populations and Evolution · Quantitative Biology 2019-04-26 Maxime Deforet , Carlos Carmona-Fontaine , Kirill S. Korolev , Joao B. Xavier

The SIR model is the cornerstone model for mathematical epidemiology, explaining key epidemic features such as the second-order transition between disease-free and epidemic states, the initial exponential growth of outbreaks or the…

Populations and Evolution · Quantitative Biology 2026-03-20 Santiago Lamata-Otín , Alex Arenas , Jesús Gómez-Gardeñes , David Soriano-Paños

Models are often employed to integrate knowledge about epidemics across scales and simulate disease dynamics. While these approaches have played a central role in studying the mechanics underlying epidemics, we lack ways to reliably predict…

Populations and Evolution · Quantitative Biology 2023-11-09 Sudam Surasinghe , Ketty Kabengele , Paul E. Turner , C. Brandon Ogbunugafor

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

Asymptomatic infection has gained notoriety as an important feature of infectious disease dynamics. Despite increasing attention, there have been few rigorous examinations of how asymptomatic transmission influences pathogen evolution. In…

Populations and Evolution · Quantitative Biology 2025-03-06 C. Brandon Ogbunugafor , Sudam Surasinghe

Evolution is a dynamic process. The two classical forces of evolution are mutation and selection. Assuming small mutation rates, evolution can be predicted based solely on the fitness differences between phenotypes. Predicting an…

Populations and Evolution · Quantitative Biology 2015-03-23 Benedikt Bauer , Chaitanya S. Gokhale

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

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

More virulent strains of influenza virus subtypes H1N1 appeared widely in 2007 and H3N2 in 2011, and especially 2013-4, when the effectiveness of the H3N2 vaccine decreased nearly to zero. The amino acid differences of neuraminidase from…

Other Quantitative Biology · Quantitative Biology 2016-04-20 J. C. Phillips

In a wide variety of natural systems, closely-related microbial strains coexist stably, resulting in high levels of fine-scale biodiversity. However, the mechanisms that stabilize this coexistence are not fully understood. Spatial…

Populations and Evolution · Quantitative Biology 2023-03-29 Casey Barkan , Shenshen Wang

The evolution of antimicrobial resistance generally occurs in an environment where antimicrobial concentration is variable, which has dramatic consequences on the microorganisms' fitness landscape, and thus on the evolution of resistance.…

Biological Physics · Physics 2018-10-23 Loïc Marrec , Anne-Florence Bitbol

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