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Interactions between SARS-CoV-2 and the immune system during infection are complex. However, understanding the within-host SARS-CoV-2 dynamics is of enormous importance, especially when it comes to assessing treatment options. Mathematical…

Quantitative Methods · Quantitative Biology 2023-12-11 Lea Schuh , Peter V. Markov , Vladimir M. Veliov , Nikolaos I. Stilianakis

We propose a new model that describes the dynamics of epidemic spreading on connected graphs. Our model consists in a PDE-ODE system where at each vertex of the graph we have a standard SIR model and connexions between vertices are given by…

Analysis of PDEs · Mathematics 2020-11-25 Christophe Besse , Grégory Faye

To curb the initial spread of SARS-CoV-2, many countries relied on nation-wide implementation of non-pharmaceutical intervention measures, resulting in substantial socio-economic impacts. Potentially, subnational implementations might have…

Physics and Society · Physics 2023-12-19 Mark M. Dekker , Luc E. Coffeng , Frank P. Pijpers , Debabrata Panja , Sake J. de Vlas

We study how international flights can facilitate the spread of an epidemic to a worldwide scale. We combine an infrastructure network of flight connections with a population density dataset to derive the mobility network, and then we…

Physics and Society · Physics 2021-07-26 Hugo Dolan , Riccardo Rastelli

In this work, we address the connection between population density centers in urban areas, and the nature of human flows between such centers, in shaping the vulnerability to the onset of contagious diseases. A study of 163 cities, chosen…

Physics and Society · Physics 2021-02-02 Surendra Hazarie , David Soriano-Paños , Alex Arenas , Jesús Gómez-Gardeñes , Gourab Ghoshal

This paper introduces a probabilistic approach for tracking the dynamics of unweighted and directed graphs using state-space models (SSMs). Unlike conventional topology inference methods that assume static graphs and generate point-wise…

Signal Processing · Electrical Eng. & Systems 2024-09-13 Victor M. Tenorio , Elvin Isufi , Geert Leus , Antonio G. Marques

In the present article a mathematical model is proposed to research the current coronavirus outbreak (SARS-CoV-2) in Paraguay, describing the multiple transmission paths in the infection dynamics, following the susceptible, exposed,…

Populations and Evolution · Quantitative Biology 2020-06-02 Juan A. Gonzalez Cuevas

Accurate epidemic forecasting is crucial for effective disease control and prevention. Traditional compartmental models often struggle to estimate temporally and spatially varying epidemiological parameters, while deep learning models…

Machine Learning · Computer Science 2025-04-08 Shuai Han , Lukas Stelz , Thomas R. Sokolowski , Kai Zhou , Horst Stöcker

In network-based SIS models of infectious disease transmission, infection can only occur between directly connected individuals. This constraint naturally gives rise to spatial correlations between the states of neighboring nodes, as the…

Statistical Mechanics · Physics 2026-03-18 Alexander Leibenzon , Samuel W. S. Johnson , Ruth E. Baker , Michael Assaf

The ongoing SARS-CoV-2 pandemic has been holding the world hostage for more than a year now. Mobility is key to viral spreading and its restriction is the main non-pharmaceutical interventions to fight the virus expansion. Previous works…

We provide a predictive analysis of the spread of COVID-19, also known as SARS-CoV-2, using the dataset made publicly available online by the Johns Hopkins University. Our main objective is to provide predictions of the number of infected…

Machine Learning · Computer Science 2020-05-26 Alireza M. Javid , Xinyue Liang , Arun Venkitaraman , Saikat Chatterjee

Covid-19 infection, which spread to the whole world in December 2019 and is still active, caused more than 250 thousand deaths in the world today. Researches on this subject have been focused on analyzing the genetic structure of the virus,…

Machine Learning · Computer Science 2023-04-25 Selcuk Yazar

How may exposure risks to SARS-CoV-2 be assessed quantitatively? The material metabolism approach of Industrial Ecology can be applied to the mass flows of these virions by their numbers, as a key step in the analysis of the current…

Quantitative Methods · Quantitative Biology 2020-10-30 Gjalt Huppes , Ruben Huele

We present an epidemiological compartment model, SAIR(S), that explicitly captures the dynamics of asymptomatic infected individuals in an epidemic spread process. We first present a group model and then discuss networked versions. We…

Populations and Evolution · Quantitative Biology 2021-03-23 Xiaoqi Bi , Carolyn L. Beck

A multivariate distribution can be described by a triangular transport map from the target distribution to a simple reference distribution. We propose Bayesian nonparametric inference on the transport map by modeling its components using…

Methodology · Statistics 2023-01-18 Matthias Katzfuss , Florian Schäfer

We investigate a model for spatial epidemics explicitly taking into account bi-directional movements between base and destination locations on individual mobility networks. We provide a systematic analysis of generic dynamical features of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

Modeling radio propagation is essential for wireless network design and performance optimization. Traditional methods rely on physics models of radio propagation, which can be inaccurate or inflexible. In this work, we propose using graph…

Machine Learning · Computer Science 2025-01-14 Adrien Bufort , Laurent Lebocq , Stefan Cathabard

The current SARS-CoV-2 pandemic is a harsh reminder of the fact that, whether in a single human host or a wave of infection across continents, viral dynamics is often a story about the numbers. In this snapshot, our aim is to provide a…

Other Quantitative Biology · Quantitative Biology 2020-04-01 Yinon M. Bar-On , Avi I. Flamholz , Rob Phillips , Ron Milo

Repeat asymptomatic testing in order to identify and quarantine infectious individuals has become a widely-used intervention to control SARS-CoV-2 transmission. In some workplaces, and in particular health and social care settings with…

Populations and Evolution · Quantitative Biology 2022-10-18 Carl A Whitfield , University of Manchester COVID-19 Modelling Group , Ian Hall

This paper proposes a novel three-dimensional (3D) theoretical regular-shaped geometry-based stochastic model (RS-GBSM) and the corresponding sum-of-sinusoids (SoS) simulation model for non-isotropic multiple-input multiple-output (MIMO)…

Signal Processing · Electrical Eng. & Systems 2023-12-04 Yi Yuan , Cheng-Xiang Wang , Xiang Cheng , Bo Ai , David I. Laurenson
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