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We consider a stochastic model for a pathogen population in the presence of an immune response, in which pathogen types are partially ordered by ancestry and the immune system must eliminate ancestor types before it can eliminate their…

Probability · Mathematics 2026-02-03 Carolina Grejo , Fabio Lopes , Fábio Machado , Alejandro Roldán-Correa

We present an SI epidemic model whereby a continuous variable captures variability in proliferative potential and resistance to infection among susceptibles. The occurrence of heritable, spontaneous changes in these phenotype and the…

Populations and Evolution · Quantitative Biology 2021-12-30 Tommaso Lorenzi , Andrea Pugliese , Mattia Sensi , Agnese Zardini

The immune system is a cognitive system of complexity comparable to the brain and its computational algorithms suggest new solutions to engineering problems or new ways of looking at these problems. Using immunological principles, a two (or…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 P. J. Costa Branco , J. A. Dente , R. Vilela Mendes

We examine the feasibility of predicting and subsequently managing the future evolution of a Complex Adaptive System. Our archetypal system mimics a competitive population of mechanical, biological, informational or human objects. We show…

Disordered Systems and Neural Networks · Physics 2007-05-23 David M. D. Smith , Neil F. Johnson

The advancement of general-purpose intelligent agents is intrinsically linked to the environments in which they are trained. While scaling models and datasets has yielded remarkable capabilities, scaling the complexity, diversity, and…

Machine Learning · Computer Science 2025-11-05 Brennen Hill

We study how the interplay between the memory immune response and pathogen mutation affects epidemic dynamics in two related models. The first explicitly models pathogen mutation and individual memory immune responses, with contacted…

Chaotic Dynamics · Physics 2009-11-07 Michelle Girvan , Duncan S. Callaway , M. E. J. Newman , Steven H. Strogatz

In this paper we study intra-host viral adaptation by antigenic cooperation - a mechanism of immune escape that serves as an alternative to the standard mechanism of escape by continuous genomic diversification and allows to explain a…

Populations and Evolution · Quantitative Biology 2023-04-07 Leonid Bunimovich , Athulya Ram , Pavel Skums

Although there is always an interplay between the dynamics of information diffusion and disease spreading, the empirical research on the systemic coevolution mechanisms connecting these two spreading dynamics is still lacking. Here we…

Physics and Society · Physics 2016-07-07 Wei Wang , Quan-Hui Liu , Shi-Min Cai , Ming Tang , Lidia A. Braunstein , H. Eugene Stanley

We consider a spatial stochastic model for a pathogen population growing inside a host that attempts to eliminate the pathogens through its immune system. The pathogen population is divided into different types. A pathogen can either…

Probability · Mathematics 2026-02-03 Fábio Lopes , Alejandro Roldán-Correa

Competing strategies in an evolutionary game model, or species in a biosystem, can easily form a larger unit which protects them from the invasion of an external actor. Such a defensive alliance may have two, three, four or even more…

Physics and Society · Physics 2023-06-21 Attila Szolnoki , Xiaojie Chen

Phase separation has emerged as an essential concept for the spatial organization inside biological cells. However, despite the clear relevance to virtually all physiological functions, we understand surprisingly little about what phases…

Biological Physics · Physics 2022-08-10 David Zwicker , Liedewij Laan

There is a broad recognition that commitment-based mechanisms can promote coordination and cooperative behaviours in both biological populations and self-organised multi-agent systems by making individuals' intentions explicit prior to…

Computer Science and Game Theory · Computer Science 2025-09-15 Ndidi Bianca Ogbo , Zhao Song , The Anh Han

We show that a rate of conditional Shannon entropy reduction, characterizing the learning of an internal process about an external process, is bounded by the thermodynamic entropy production. This approach allows for the definition of an…

Biological Physics · Physics 2014-11-07 Andre C. Barato , David Hartich , Udo Seifert

This chapter introduces evolutionary antifragility as the time-scale interaction characteristics of a natural dynamic system. It describes the benefit derived from input distribution unevenness, based on the emergent system dynamics and its…

Populations and Evolution · Quantitative Biology 2025-04-25 Cristian Axenie , Roman Bauer , Oliver Lopez Corona , Elvia Ramirez-Carrillo , Ari Barnett , Jeffrey West

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

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

Adaptation in a fluctuating environment is a process of fueling environmental information to gain fitness. Living systems have gradually developed strategies for adaptation from random and passive diversification of the phenotype to more…

Populations and Evolution · Quantitative Biology 2017-07-12 Tetsuya J. Kobayashi , Yuki Sughiyama

We explore the evolution of cooperation in the framework of the evolutionary game theory using the prisoner's dilemma as metaphor of the problem. We present a minimal model taking into account the growing process of the systems and…

Computer Science and Game Theory · Computer Science 2015-06-03 Ignacio Gomez Portillo

The quest to understand structure-function relationships in networks across scientific disciplines has intensified. However, the optimal network architecture remains elusive, particularly for complex information processing. Therefore, we…

Adaptation and Self-Organizing Systems · Physics 2024-03-27 Manish Yadav , Sudeshna Sinha , Merten Stender

Biological populations are subject to fluctuating environmental conditions. Different adaptive strategies can allow them to cope with these fluctuations: specialization to one particular environmental condition, adoption of a generalist…

Populations and Evolution · Quantitative Biology 2017-09-27 Andreas Mayer , Thierry Mora , Olivier Rivoire , Aleksandra M. Walczak
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