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The spread of certain diseases can be promoted, in some cases substantially, by prior infection with another disease. One example is that of HIV, whose immunosuppressant effects significantly increase the chances of infection with other…

Physics and Society · Physics 2014-08-04 M. E. J. Newman , C. R. Ferrario

Memory retrieval in agentic large language model (LLM) systems is often treated as a static lookup problem, relying on flat vector search or fixed binary relational graphs. However, fixed graph structures cannot capture the varying…

Artificial Intelligence · Computer Science 2026-05-12 Dongming Jiang , Yi Li , Guanpeng Li , Qiannan Li , Bingzhe Li

Incidence of whooping cough, an infection caused by Bordetella pertussis and Bordetella parapertussis, has been on the rise since the 1980s in many countries. Immunological interactions, such as immune boosting and cross-immunity between…

Populations and Evolution · Quantitative Biology 2016-08-30 Tiffany Leung , Barry D. Hughes , Federico Frascoli , James M. McCaw

Chronic infections of the human immunodeficiency virus (HIV) create a very complex co-evolutionary process, where the virus tries to escape the continuously adapting host immune system. Quantitative details of this process are largely…

Populations and Evolution · Quantitative Biology 2022-07-27 Andrea Mazzolini , Thierry Mora , Aleksandra M Walczak

Background. In a number of recent experiments with food-and-mouth disease virus, a deleterious mutant, was found to avoid extinction and remain in the population for long periods of time. This observation was called quasispecies memory. The…

Biological Physics · Physics 2007-05-23 Claus O. Wilke , Isabel S. Novella

Survival models capture the relationship between an accumulating hazard and the occurrence of a singular event stimulated by that accumulation. When the model for the hazard is sufficiently flexible survival models can accommodate a wide…

Methodology · Statistics 2024-03-04 Michael Betancourt

Memory plays a foundational role in augmenting the reasoning, adaptability, and contextual fidelity of modern Large Language Models and Multi-Modal LLMs. As these models transition from static predictors to interactive systems capable of…

Artificial Intelligence · Computer Science 2026-01-15 Zixia Jia , Jiaqi Li , Yipeng Kang , Yuxuan Wang , Tong Wu , Quansen Wang , Xiaobo Wang , Shuyi Zhang , Junzhe Shen , Qing Li , Siyuan Qi , Yitao Liang , Di He , Zilong Zheng , Song-Chun Zhu

In large language models built upon the Transformer architecture, recent studies have shown that inter-head interaction can enhance attention performance. Motivated by this, we propose Multi-head Explicit Attention (MEA), a simple yet…

Machine Learning · Computer Science 2026-01-28 Runyu Peng , Yunhua Zhou , Demin Song , Kai Lv , Bo Wang , Qipeng Guo , Xipeng Qiu

We design a linear chain trick algorithm for dynamical systems for which we have oscillatory time histories in the distributed time delay. We make use of this algorithmic framework to analyse memory effects in disease evolution in a…

Populations and Evolution · Quantitative Biology 2025-10-24 Adam Mielke , Mads Peter Sørensen , John Wyller

Emerging infectious diseases and climate change are two of the major challenges in 21st century. Although over the past decades, highly-resolved mathematical models have contributed in understanding dynamics of infectious diseases and are…

Populations and Evolution · Quantitative Biology 2025-10-13 Julia Bicker , René Schmieding , Michael Meyer-Hermann , Martin J. Kühn

The vertebrate immune system is a wonder of modern evolution. Occasionally, however, correlations within the immune system lead to inappropriate recruitment of preexisting T cells against novel viral diseases. We present a random energy…

Biomolecules · Quantitative Biology 2009-11-10 Jeong-Man Park , Michael W. Deem

We propose a mathematical model to analyze the effects of anti-infection behavior on the equilibrium states of an infectious disease. The anti-infection behavior is incorporated into a classical epidemiological SIR model, by considering the…

Populations and Evolution · Quantitative Biology 2020-09-11 Andrés David Báez-Sánchez , Nara Bobko

The paper proposes a time-adaptive optimization approach for determining the time-dependent immune response function in a mathematical model of acute HIV infection, using clinical data from four untreated patients. We formulate the problem…

Numerical Analysis · Mathematics 2025-08-19 L. Beilina , I. Gainova , G. Bocharov

Large Language Models (LLMs) serve as the backbone of modern AI systems, yet they remain susceptible to adversarial jailbreak attacks. Consequently, robust detection of such malicious inputs is paramount for ensuring model safety.…

Cryptography and Security · Computer Science 2026-01-13 Jun Leng , Yu Liu , Litian Zhang , Ruihan Hu , Zhuting Fang , Xi Zhang

An epidemic multi-strain model with temporary cross-immunity shows chaos, even in a previously unexpected parameter region. Especially dengue fever models with strong enhanced infectivity on secondary infection have previously shown…

Chaotic Dynamics · Physics 2007-06-25 Maíra Aguiar , Nico Stollenwerk

We investigate a model for a mosquito-borne epidemic in which human hosts may adopt protective behaviour against vector bites in response to information on both past and current disease prevalence. Assuming that mosquitoes can also feed on…

Populations and Evolution · Quantitative Biology 2026-05-08 Simone De Reggi , Andrea Pugliese , Mattia Sensi , Cinzia Soresina

We present a model of contagion that unifies and generalizes existing models of the spread of social influences and micro-organismal infections. Our model incorporates individual memory of exposure to a contagious entity (e.g., a rumor or…

Physics and Society · Physics 2017-06-01 Peter Sheridan Dodds , Duncan J. Watts

The immune response to a pathogen has two basic features. The first is the expansion of a few pathogen-specific cells to form a population large enough to control the pathogen. The second is the process of differentiation of cells from an…

Populations and Evolution · Quantitative Biology 2014-02-04 Sean P Stromberg , Rustom Antia , Ilya Nemenman

Epidemiological models are an important tool in coping with epidemics, as they offer a forecast, even if often simplistic, of the behavior of the disease in the population. This allows responsible health agencies to organize themselves and…

Populations and Evolution · Quantitative Biology 2023-08-03 Eliza Maria Ferreira , Ricardo Edem Ferreira , Chiara Mocenni

During contagion phenomena, individuals perceiving a risk of infection commonly adapt their behavior and reduce their exposure. The effects of such adaptive mechanisms have been studied for processes in which pairwise interactions drive…

Physics and Society · Physics 2026-01-12 Marco Mancastroppa , Márton Karsai , Alain Barrat