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A simple, but ``classical``, stochastic model for epidemic spread in a finite, but large, population is studied. The progress of the epidemic can be divided into three different phases that requires different tools to analyse. Initially the…

Populations and Evolution · Quantitative Biology 2018-05-29 Åke Svensson

Identifiability is the property in mathematical modelling that determines if model parameters can be uniquely estimated from data. For infectious disease models, failure to ensure identifiability can lead to misleading parameter estimates…

Methodology · Statistics 2025-06-10 Fanny Bergström , Martina Favero , Tom Britton

Many applications in medical statistics as well as in other fields can be described by transitions between multiple states (e.g. from health to disease) experienced by individuals over time. In this context, multi-state models are a popular…

This paper describes types of errors arising in a recently proposed method of incidence estimation from prevalence data. The errors are illustrated by a simulation study about a hypothetical irreversible disease. In addition, a way of…

Populations and Evolution · Quantitative Biology 2014-10-06 Ralph Brinks

This study addresses a critical gap in the healthcare system by developing a clinically meaningful, practical, and explainable disease surveillance system for multiple chronic diseases, utilizing routine EHR data from multiple U.S.…

Machine Learning · Computer Science 2025-01-28 Shaheer Ahmad Khan , Muhammad Usamah Shahid , Ahmad Abdullah , Ibrahim Hashmat , Muddassar Farooq

Estimating the prevalence of a medical condition, or the proportion of the population in which it occurs, is a fundamental problem in healthcare and public health. Accurate estimates of the relative prevalence across groups -- capturing,…

Computers and Society · Computer Science 2023-12-13 Divya Shanmugam , Kaihua Hou , Emma Pierson

A compartment epidemic model for infectious disease spreading is investigated, where movement of individuals is governed by spatial diffusion. The model includes infection age of the infected individuals and assumes a logistic growth of the…

Analysis of PDEs · Mathematics 2023-06-28 Christoph Walker

Epidemic models often reflect characteristic features of infectious spreading processes by coupled non-linear differential equations considering different states of health (such as Susceptible, Infected, or Recovered). This compartmental…

Physics and Society · Physics 2021-12-01 Vaiva Vasiliauskaite , Nino Antulov-Fantulin , Dirk Helbing

Early outbreak detection is a key aspect in the containment of infectious diseases, as it enables the identification and isolation of infected individuals before the disease can spread to a larger population. Instead of detecting unexpected…

Machine Learning · Computer Science 2021-10-19 Michael Rapp , Moritz Kulessa , Eneldo Loza Mencía , Johannes Fürnkranz

A model describing the dynamics related to the spreading of non-lethal infectious diseases in a fixed-size population is proposed. The model consists of a non-linear delay-differential equation describing the time evolution of the increment…

Populations and Evolution · Quantitative Biology 2010-10-05 A. Noviello , F. Romeo , R. De Luca

We present a new analysis of relationships between disease incidence and the prevalence of an experimentally defined state of `recent infection'. This leads to a clean separation between biological parameters (properties of disease…

Populations and Evolution · Quantitative Biology 2008-06-09 Thomas A. McWalter , Alex Welte

In times of outbreaks, an essential requirement for better monitoring is the evaluation of the number of undiagnosed infected individuals. An accurate estimate of this fraction is crucial for the assessment of the situation and the…

Populations and Evolution · Quantitative Biology 2021-03-17 Akiva B. Melka , Yoram Louzoun

Individual-level epidemic models are increasingly being used to help understand the transmission dynamics of various infectious diseases. However, fitting such models to individual-level epidemic data is challenging, as we often only know…

Applications · Statistics 2026-02-17 Dirk Douwes-Schultz , Rob Deardon , Alexandra M. Schmidt

Deep learning based approaches to Computer Aided Diagnosis (CAD) typically pose the problem as an image classification (Normal or Abnormal) problem. These systems achieve high to very high accuracy in specific disease detection for which…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Aniket Joshi , Gaurav Mishra , Jayanthi Sivaswamy

This book handles the fatty liver disease from the bio-statistical point of view . It discusses the disease process in the simple general form of health-disease-death multi-states model . Continuous Time Markov Chains are used to estimate…

Other Quantitative Biology · Quantitative Biology 2021-11-16 Iman Mohammed Attia Ebd-Elkhalik Abo-Elreesh

Zika fever, a mosquito-borne viral disease with potential severe neurological complications and birth defects, remains a significant public health concern. The epidemiological models often oversimplify the dynamics of Zika transmission by…

Populations and Evolution · Quantitative Biology 2025-11-05 Lillian Achola Oluoch , Florent Ouabo Kamkumo , Ralf Wunderlich

Compartmental models are valuable tools for investigating infectious diseases. Researchers building such models typically begin with a simple structure where compartments correspond to individuals with different epidemiological statuses,…

Populations and Evolution · Quantitative Biology 2023-07-21 Darren Flynn-Primrose , Steven C. Walker , Michael Li , Benjamin M. Bolker , David J. D. Earn , Jonathan Dushoff

We study an epidemic model for a constant population by taking into account four compartments of the individuals characterizing their states of health. Each individual is in one of the compartments susceptible (S); incubated - infected yet…

Populations and Evolution · Quantitative Biology 2023-04-20 Teo Granger , Thomas M. Michelitsch , Michael Bestehorn , Alejandro P. Riascos , Bernard A. Collet

Non-communicable disease is the leading cause of death, emphasizing the need for accurate prediction of disease progression and informed clinical decision-making. Machine learning (ML) models have shown promise in this domain by capturing…

Machine Learning · Computer Science 2023-09-25 Zhoujian Sun , Wenzhuo Zhang , Zhengxing Huang , Nai Ding , Cheng Luo

Clinical researchers use disease progression models to understand patient status and characterize progression patterns from longitudinal health records. One approach for disease progression modeling is to describe patient status using a…