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Mathematical and computational modeling approaches are increasingly used as quantitative tools in the analysis and forecasting of infectious disease epidemics. The growing need for realism in addressing complex public health questions is…

Herd immunity is shaped not only by the infection capacity of a spreading epidemic or the contact structure of the hosting population, but also by how and under what circumstances individuals acquire immunity. Immunization strategies may…

Physics and Society · Physics 2026-02-20 Sámuel G. Balogh , Gergely Ódor , Márton Karsai

Adaptation in response to selection on polygenic phenotypes may occur via subtle allele frequencies shifts at many loci. Current population genomic techniques are not well posed to identify such signals. In the past decade, detailed…

Populations and Evolution · Quantitative Biology 2014-08-19 Jeremy J. Berg , Graham Coop

One of the challenges in epidemiology is to account for the complex morphological structure of hosts such as plant roots, crop fields, farms, cells, animal habitats and social networks, when the transmission of infection occurs between…

Populations and Evolution · Quantitative Biology 2010-03-23 Francisco J. Perez-Reche , Sergei N. Taraskin , Luciano da F. Costa , Franco M. Neri , Christopher A. Gilligan

We study an individual-based stochastic epidemic model in which infected individuals become susceptible again following each infection. In contrast to classical compartment models, after each infection, the infectivity is a random function…

Probability · Mathematics 2025-04-29 Raphaël Forien , Guodong Pang , Étienne Pardoux , Arsene Brice Zotsa-Ngoufack

Genotype networks are a method used in systems biology to study the "innovability" of a set of genotypes having the same phenotype. In the past they have been applied to determine the genetic heterogeneity, and stability to mutations, of…

Populations and Evolution · Quantitative Biology 2015-06-17 Giovanni Marco Dall'Olio , Jaume Bertranpetit , Andreas Wagner , Hafid Laayouni

Selection in a time-periodic environment is modeled via the continuous-time two-player replicator dynamics, which for symmetric pay-offs reduces to the Fisher equation of mathematical genetics. For a sufficiently rapid and cyclic…

Populations and Evolution · Quantitative Biology 2019-10-30 Armen E. Allahverdyan , Sanasar G. Babajanyan , Chin-Kun Hu

Two factors that are often ignored but could play a crucial role in the progression of an infectious disease are the distributions of inherent susceptibility ($\sigma_{inh}$) and external infectivity ($\iota_{ext}$), in a given population.…

Populations and Evolution · Quantitative Biology 2021-01-01 Saumyak Mukherjee , Sayantan Mondal , Biman Bagchi

Leprosy (Hansen's disease) is an infectious, neglected tropical disease caused by the Mycobacterium Leprae (M. Leprae). Each year there are approximately 2,02,189 new cases are detected globally. In the year 2017 more than half million…

Dynamical Systems · Mathematics 2022-08-04 Dinesh Nayak , Bishal Chhetri , D. K. K. Vamsi , Swapna Muthusamy , Vijay M. Bhagat

Coevolution is expected to follow two alternative dynamics, often called trench warfare and arms races in plant-pathogen systems. Trench warfare situations are stable cycles of allele frequencies at the coevolving loci of both host and…

Populations and Evolution · Quantitative Biology 2013-09-20 Aurelien Tellier , Stefany Moreno-Gamez , Wolfgang Stephan

Non-alcoholic fatty liver disease (NAFLD) is a prevalent chronic liver disorder characterized by the excessive accumulation of fat in the liver in individuals who do not consume significant amounts of alcohol, including risk factors like…

Quantitative Methods · Quantitative Biology 2023-11-16 Tahmina Sultana Priya , Fan Leng , Anthony C. Luehrs , Eric W. Klee , Alina M. Allen , Konstantinos N. Lazaridis , Danfeng , Yao , Shulan Tian

The amplification cycle of many replicators (natural or artificial) involves the usage of a host compartment, inside of which the replicator express phenotypic compounds necessary to carry out its genetic replication. For example, viruses…

Populations and Evolution · Quantitative Biology 2019-07-03 Anton S. Zadorin , Yannick Rondelez

The search for high-affinity aptamers for targets such as proteins, small molecules, or cancer cells remains a formidable endeavor. Systematic Evolution of Ligands by EXponential Enrichment (SELEX) offers an iterative process to discover…

Biological Physics · Physics 2016-12-30 Fabian Spill , Zohar B. Weinstein , Atena Irani Shemirani , Nga Ho , Darash Desai , Muhammad H. Zaman

Random mixing in host populations has been a convenient simplifying assumption in the study of epidemics, but neglects important differences in contact rates within and between population groups. For HIV/AIDS, the assumption of random…

Quantitative Methods · Quantitative Biology 2016-02-24 Brian G. Williams , Christopher Dye

The minimum description length (MDL) principle states that the best model to account for some data minimizes the sum of the lengths, in bits, of the descriptions of the model and the residual error. The description length is thus a…

Quantitative Methods · Quantitative Biology 2015-07-21 Peter T. Hraber , Bette T. Korber , Steven Wolinsky , Henry A. Erlich , Elizabeth A. Trachtenberg , Thomas B. Kepler

The modeling of the spreading of communicable diseases has experienced significant advances in the last two decades or so. This has been possible due to the proliferation of data and the development of new methods to gather, mine and…

Physics and Society · Physics 2020-09-09 Alberto Aleta , Guilherme Ferraz de Arruda , Yamir Moreno

I study the spreading of infectious diseases on heterogeneous populations. I represent the population structure by a contact-graph where vertices represent agents and edges represent disease transmission channels among them. The population…

Populations and Evolution · Quantitative Biology 2009-11-13 Alexei Vazquez

Diffusion processes are governed by external triggers and internal dynamics in complex systems. Timely and cost-effective control of infectious disease spread critically relies on uncovering the underlying diffusion mechanisms, which is…

Populations and Evolution · Quantitative Biology 2022-02-09 Minkyoung Kim , Dean Paini , Raja Jurdak

Federated Learning (FL) allows multiple privacy-sensitive applications to leverage their dataset for a global model construction without any disclosure of the information. One of those domains is healthcare, where groups of silos…

Machine Learning · Computer Science 2024-09-06 Usevalad Milasheuski , Luca Barbieri , Bernardo Camajori Tedeschini , Monica Nicoli , Stefano Savazzi

Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…