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A central challenge in every field of biology is to use existing measurements to predict the outcomes of future experiments. In this work, we consider the wealth of antibody inhibition data against variants of the influenza virus. Due to…

Quantitative Methods · Quantitative Biology 2023-07-27 Tal Einav , Rong Ma

Consider a birth and death chain to model the number of types of a given virus. Each type gives birth to a new type at rate $\lambda$ and dies at rate 1. Each type is also assigned a fitness. When a death occurs either the least fit type…

Probability · Mathematics 2013-06-29 J. T. Cox , R. B. Schinazi

A crucial feature of reaction-diffusion epidemic models is the incidence function, which characterizes disease transmission dynamics. Over the past few decades, many studies have investigated the behavior of such models under various…

Optimization and Control · Mathematics 2025-09-12 Mohamed Mehdaoui , Mouhcine Tilioua

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

Diffusion models have led to significant advancements in generative modelling. Yet their widespread adoption poses challenges regarding data attribution and interpretability. In this paper, we aim to help address such challenges in…

Machine Learning · Computer Science 2025-05-27 Bruno Mlodozeniec , Runa Eschenhagen , Juhan Bae , Alexander Immer , David Krueger , Richard Turner

Infectious disease dynamics operate across multiple biological scales, with within-host viral dynamics being a key driver of between-host transmission. However, while models that explicitly link these scales exist, none have been developed…

Applications · Statistics 2026-04-23 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

In this work, we aim to formalize a novel scientific machine learning framework to reconstruct the hidden dynamics of the transmission rate, whose inaccurate extrapolation can significantly impair the quality of the epidemic forecasts, by…

Quantitative Methods · Quantitative Biology 2024-10-16 Giovanni Ziarelli , Stefano Pagani , Nicola Parolini , Francesco Regazzoni , Marco Verani

Parameter inference and state estimation in stochastic and partially observed biological systems remain major problems in mathematical biology. In this work, we introduce a two-dimensional lattice graph model for the spread of infectious…

Quantitative Methods · Quantitative Biology 2026-05-29 Ihtisham Ul Haq , Serge Richard

Short-time human travel behaviour can be described by a power law with respect to distance. We incorporate this information in space-time models for infectious disease surveillance data to better capture the dynamics of disease spread. Two…

Methodology · Statistics 2014-11-25 Sebastian Meyer , Leonhard Held

When trying to gain better visibility into a machine learning model in order to understand and mitigate the associated risks, a potentially valuable source of evidence is: which training examples most contribute to a given behavior?…

The annual influenza outbreak leads to significant public health and economic burdens making it desirable to have prompt and accurate probabilistic forecasts of the disease spread. The United States Centers for Disease Control and…

Applications · Statistics 2025-08-29 Spencer Wadsworth , Jarad Niemi

Pandemic influenza has great potential to cause large and rapid increases in deaths and serious illness. The objective of this paper is to develop an agent-based model to simulate the spread of pandemic influenza (novel H1N1) in Egypt. The…

Multiagent Systems · Computer Science 2010-02-01 Khaled M. Khalil , M. Abdel-Aziz , Taymour T. Nazmy , Abdel-Badeeh M. Salem

In this paper we consider robust models for emergency staff deployment in the event of a flu pandemic. We focus on managing critical staff levels at organizations that must remain operational during such an event, and develop methodologies…

Optimization and Control · Mathematics 2015-07-31 Daniel Bienstock , A. Cecilia Zenteno

Public health surveillance systems often fail to detect emerging infectious diseases, particularly in resource limited settings. By integrating relevant clinical and internet-source data, we can close critical gaps in coverage and…

Applications · Statistics 2019-03-05 Kai Liu , Ravi Srinivasan , Lauren Ancel Meyers

Many epidemic models approximate social contact behavior by assuming random mixing within mixing groups (e.g., homes, schools and workplaces). The effect of more realistic social network structure on estimates of epidemic parameters is an…

Methodology · Statistics 2012-08-27 Gail E. Potter , Mark S. Handcock , Ira M. Longini, , M. Elizabeth Halloran

Modelling the transmission dynamics of an infectious disease is a complex task. Not only it is difficult to accurately model the inherent non-stationarity and heterogeneity of transmission, but it is nearly impossible to describe,…

Computation · Statistics 2023-07-19 Sanmitra Ghosh , Paul J. Birrell , Daniela De Angelis

Within the human respiratory tract (HRT), viruses diffuse through the periciliary fluid (PCF) bathing the epithelium, and travel upwards via advection towards the nose and mouth, as the mucus escalator entrains the PCF. While many…

Cell Behavior · Quantitative Biology 2020-04-15 Christian Quirouette , Nada P. Younis , Micaela B. Reddy , Catherine A. A. Beauchemin

Using German forest health monitoring data we investigate the main drivers leading to tree mortality and the association between defoliation and mortality; in particular (a) whether defoliation is a proxy for other covariates (climate,…

Influenza forecasting in the United States (US) is complex and challenging for reasons including substantial spatial and temporal variability, nested geographic scales of forecast interest, and heterogeneous surveillance participation. Here…

Applications · Statistics 2019-10-01 Dave Osthus , Kelly R Moran

In this paper, the authors develop a method of detecting correlations between epidemic patterns in different regions that are due to human movement and introduce a null model in which the travel-induced correlations are cancelled. They…

Populations and Evolution · Quantitative Biology 2008-06-24 Pascal Crépey , Marc Barthélemy