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Consider the following stochastic model for immune response. Each pathogen gives birth to a new pathogen at rate $\lambda$. When a new pathogen is born, it has the same type as its parent with probability $1 - r$. With probability $r$, a…

Probability · Mathematics 2007-05-23 Thomas M. Liggett , Rinaldo B. Schinazi , Jason Schweinsberg

Understanding how a diversity of plants in agroecosystems affects the adaptation of pathogens in a key issue in agroecology. We analyze PDE systems describing the dynamics of adaptation of two phenotypically structured populations, under…

Analysis of PDEs · Mathematics 2021-03-08 François Hamel , Florian Lavigne , Lionel Roques

The immune system normally protects the human host against death by infection. However, when an immune response is mistakenly directed at self antigens, autoimmune disease can occur. We describe a model of protein evolution to simulate the…

Populations and Evolution · Quantitative Biology 2009-11-11 Jun Sun , David J. Earl , Michael W. Deem

We investigate the problem of speciation and coexistence in simple ecosystems when the competition among individuals is included in the Eigen model for quasi-species. By suggesting an analogy between the competition among strains and the…

Statistical Mechanics · Physics 2008-02-03 Franco Bagnoli , Michele Bezzi

In ecological systems heterogeneous interactions between pathogens take place simultaneously. This occurs, for instance, when two pathogens cooperate, while at the same time multiple strains of these pathogens co-circulate and compete.…

Populations and Evolution · Quantitative Biology 2025-05-05 Francesco Pinotti , Fakhteh Ghanbarnejad , Philipp Hövel , Chiara Poletto

The spread of infectious disease and the evolution of antigenically distinct strains are often modeled separately, despite strong feedbacks mediated by host immune memory and heterogeneous contacts. To tackle this challenging problem, we…

Populations and Evolution · Quantitative Biology 2026-04-01 Davide Zanchetta , Vittoria Bettio , Sandro Azaele , Manlio De Domenico

We propose a hybrid dynamical system approach to model the evolution of a pathogen that experiences different selective pressures according to a stochastic process. In every environment, the evolution of the pathogen is described by a…

Classical Analysis and ODEs · Mathematics 2019-03-25 Jozsef Z. Farkas , Peter Hinow , Jan Engelstädter

Zoonotic disease transmission between animals and humans is a growing risk and the agricultural context acts as a likely point of transition, with individual heterogeneity acting as an important contributor. Thus, understanding the dynamics…

Populations and Evolution · Quantitative Biology 2024-12-10 Teddy Lazebnik , Orr Spiegel

Many emerging pathogens infect multiple host species, and multi-host pathogens may have very different dynamics in different host species. This research addresses how pathogen replication rates and Immune System (IS) response times are…

Other Quantitative Biology · Quantitative Biology 2009-10-19 Soumya Banerjee , Melanie Moses

The protein-protein interaction (PPI) network provides an overview of the complex biological reactions vital to an organism's metabolism and survival. Even though in the past PPI network were compared across organisms in detail, there has…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Long-Huei Chen , Mohana Prasad Sathya Moorthy , Pratyaksh Sharma

All genes interact with other genes, and their additive effects and epistatic interactions affect an organism's phenotype and fitness. Recent theoretical and empirical work has advanced our understanding of the role of multi-locus…

Populations and Evolution · Quantitative Biology 2020-05-29 I. Satokangas , S. H. Martin , H. Helanterä , J. Saramäki , J. Kulmuni

One of the most challenging issues of evolutionary biology concerns speciation, the emergence of new species from an initial one. The huge amount of species found in nature demands a simple and robust mechanism. Yet, no consensus has been…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Catarina R. Almeida , Fernão Vistulo de Abreu

Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A, are equivalent from ecological, demographical and spatial…

Populations and Evolution · Quantitative Biology 2017-04-20 Camille Coron , Manon Costa , Hélène Leman , Charline Smadi

We demonstrate that Protein-Protein Interaction (PPI) networks in several eucaryotic organisms contain significantly more self-interacting proteins than expected if such homodimers randomly appeared in the course of the evolution. We also…

Genomics · Quantitative Biology 2007-05-23 Iaroslav Ispolatov , Anton Yuryev , Ilya Mazo , Sergei Maslov

We consider the general problem of sensitive and specific discrimination between biochemical species. An important instance is immune discrimination between self and not-self, where it is also observed experimentally that ligands just below…

Molecular Networks · Quantitative Biology 2016-12-21 Paul François , Mathieu Hemery , Kyle A. Johnson , Laura N. Saunders

The process of speciation, where an ancestral species divides in two or more new species, involves several geographic, environmental and genetic components that interact in a complex way. Understanding all these elements at once is…

Populations and Evolution · Quantitative Biology 2024-12-10 Vitor M. Marquioni , Marcus A. M. de Aguiar

A classical view of speciation is that reproductive isolation arises as a by-product of genetic divergence. Here, individual-based simulations are used to evaluate whether the mechanisms implied by this view may result in rapid speciation…

adap-org · Physics 2007-05-23 Sergey Gavrilets , Hai Li , Michael D. Vose

Modes of speciation have been the subject of a century's debate. Traditionally, most speciations are believed to be caused by spatial separation of populations (allopatry). Recent observations (Meyer 1990, Schliewen 1994, Schliewen 2001,…

Condensed Matter · Physics 2007-05-23 Martin Rost , Michael Lässig

The capacity of proteins to interact specifically with one another underlies our conceptual understanding of how living systems function. Systems-level study of specificity in protein-protein interactions is complicated by the fact that the…

Biomolecules · Quantitative Biology 2009-11-13 Eric Deeds , orr Ashenberg , Jaline Gerardine , Eugene Shakhnovich

The emergence of cross species interactions at protein level is a part of molecular mechanisms that lead to parasitic diseases. Comprehensive modelling can capture such interactions and could be useful to understand their pathophysiology…