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A simple, but ``classical``, stochastic model for epidemic spread in a finite, but large, population is studied. The progress of the epidemic can be divided into three different phases that requires different tools to analyse. Initially the…

Populations and Evolution · Quantitative Biology 2018-05-29 Åke Svensson

Character evolution that affects ecological community interactions often occurs contemporaneously with temporal changes in population size, potentially altering the very nature of those dynamics. Such eco-evolutionary processes may be most…

Populations and Evolution · Quantitative Biology 2012-06-12 Laura E. Jones , Lutz Becks , Stephen P. Ellner , Nelson G. Hairston , Takehito Yoshida , Gregor F. Fussmann

A novel mechanism for sympatric speciation that takes into account complex bio-processes within each individual organism is proposed. According to dynamical systems theory, organisms with identical genotypes can possess differentiated…

Condensed Matter · Physics 2007-05-23 Kunihiko Kaneko , Tetsuya Yomo

The temporal dynamics of social interactions were shown to influence the spread of disease. Here, we model the conditions of progression and competition for several viral strains, exploring various levels of cross-immunity over temporal…

Physics and Society · Physics 2022-06-14 Alex Abbey , Yuval Shahar , Osnat Mokryn

In this work we adopt a statistical mechanics approach to investigate basic, systemic features exhibited by adaptive immune systems. The lymphocyte network made by B-cells and T-cells is modeled by a bipartite spin-glass, where, following…

Cell Behavior · Quantitative Biology 2015-06-04 Elena Agliari , Adriano Barra , Silvia Bartolucci , Andrea Galluzzi , Francesco Guerra , Francesco Moauro

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

The coupling between evolutionary and ecological changes (eco-evolutionary dynamics) has been shown to be relevant among diverse species, and is also of interest outside of ecology, i.e. in cancer evolution. These dynamics play an important…

Analysis of PDEs · Mathematics 2026-01-21 Manh Hong Duong , Fabian Spill , Blaine van Rensburg

Migratory and tissue resident cells exhibit highly branched morphologies to perform their function and to adapt to the microenvironment. Immune cells, for example, display transient branched shapes while exploring the surrounding tissues.…

Biological Physics · Physics 2024-04-02 Jiayi Liu , Javier Boix-Campos , Jonathan E. Ron , Johan M. Kux , Nir S. Gov , Pablo J. Sáez

How does immune system evolve functional proteins - potent antibodies - in such a short time? We address this question using a microscopic, protein-level, sequence-based model of humoral immune response with explicitly defined interactions…

Cell Behavior · Quantitative Biology 2008-05-27 Muyoung Heo , Konstantin B. Zeldovich , Eugene I. Shakhnovich

We explore the complex dynamical behavior of simple predator-prey models of biological coevolution that account for interspecific and intraspecific competition for resources, as well as adaptive foraging behavior. In long kinetic Monte…

Populations and Evolution · Quantitative Biology 2009-10-26 Per Arne Rikvold

Evolution has fascinated quantitative and physical scientists for decades: how can the random process of mutation, recombination, and duplication of genetic information generate the diversity of life? What determines the rate of evolution?…

Populations and Evolution · Quantitative Biology 2018-04-23 Richard A. Neher , Aleksandra M. Walczak

Homophily and social influence are the fundamental mechanisms that drive the evolution of attitudes, beliefs and behaviour within social groups. Homophily relates the similarity between pairs of individuals' attitudinal states to their…

Physics and Society · Physics 2015-06-12 Jonathan Ward , Peter Grindrod

The simultaneous emergence of several abrupt disease outbreaks or the extinction of some serotypes of multi-strain diseases are fingerprints of the interaction between pathogens spreading within the same population. Here, we propose a…

Physics and Society · Physics 2019-12-25 David Soriano-Paños , Fakhteh Ghanbarnejad , Sandro Meloni , Jesús Gómez-Gardeñes

Species sharing a prey or a predator species may go extinct due to exploitative or apparent competition. We examine whether evolution of the shared species acts as a coexistence mechanism and to what extent the answer depends on the genetic…

Populations and Evolution · Quantitative Biology 2019-02-12 Sebastian J. Schreiber , Swati Patel , Casey terHorst

The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but illustrative…

Populations and Evolution · Quantitative Biology 2019-07-24 Juan G. Calvo , Alberto Hernández , Mason A. Porter , Fabio Sanchez

We consider a simple deterministic model which describes an asymmetric competition between an immune system with a specific and powerful response, and a virus with a broad toxicity and fast mutations. Interest in this model relies on the…

Quantitative Methods · Quantitative Biology 2011-01-17 Thierry Gobron , Mario Santoro , Livio Triolo

Population expansions trigger many biomedical and ecological transitions, from tumor growth to invasions of non-native species. Although population spreading often selects for more invasive phenotypes, we show that this outcome is far from…

Populations and Evolution · Quantitative Biology 2015-12-14 Kirill S. Korolev

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

Deterministic continuum models formulated in terms of non-local partial differential equations for the evolutionary dynamics of populations structured by phenotypic traits have been used recently to address open questions concerning the…

Populations and Evolution · Quantitative Biology 2020-10-14 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi

When our immune system encounters foreign antigens (i.e., from pathogens), the B cells that produce our antibodies undergo a cyclic process of proliferation, mutation, and selection, improving their ability to bind to the specific antigen.…