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Related papers: Dynamic causal modelling of immune heterogeneity

200 papers

Existing approaches to modelling antibody concentration data are mostly based on finite mixture models that rely on the assumption that individuals can be divided into two distinct groups: seronegative and seropositive. Here, we challenge…

Methodology · Statistics 2026-04-20 Emanuele Giorgi , Jonas Wallin

Infectious disease outbreaks have precipitated a profusion of mathematical models. Epidemic curves predicted by these models are typically qualitatively similar, despite distinct model assumptions, but there is no theoretical explanation…

Populations and Evolution · Quantitative Biology 2026-02-23 David J. D. Earn , Todd L. Parsons

Susceptible-Infected-Recovered (SIR) models have been used for decades to understand epidemic outbreak dynamics. We develop an SIR model specifically designed to study the effects of population behavior with respect to health and…

Populations and Evolution · Quantitative Biology 2023-08-03 Jasmin Nunuvero , Angelique Santiago , Moshe Cohen , Anca Radulescu

Motivated by our intention to use SIR-type epidemiological models in the context of dynamic networks as provided by large-scale highly interacting inhomogeneous human crowds, we investigate in this framework possibilities to reduce the…

Statistical Mechanics · Physics 2021-03-16 Matteo Colangeli , Adrian Muntean

The cellular adaptive immune response plays a key role in resolving influenza infection. Experiments where individuals are successively infected with different strains within a short timeframe provide insight into the underlying viral…

Populations and Evolution · Quantitative Biology 2016-11-24 Ada W. C. Yan , Pengxing Cao , Jane M. Heffernan , Jodie McVernon , Kylie M. Quinn , Nicole L. La Gruta , Karen L. Laurie , James M. McCaw

The growing literature on the propagation of COVID-19 relies on various dynamic SIR-type models (Susceptible-Infected-Recovered) which yield model-dependent results. For transparency and ease of comparing the results, we introduce a common…

Populations and Evolution · Quantitative Biology 2020-06-19 Christian Gourieroux , Joann Jasiak

This paper presents a critical analysis of the literature and perspective research ideas for modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic population dynamics to consider several key complexity features…

Populations and Evolution · Quantitative Biology 2025-01-24 Giulia Bertaglia , Andrea Bondesan , Diletta Burini , Raluca Eftimie , Lorenzo Pareschi , Giuseppe Toscani

In this paper we study a nonlinear reaction-diffusion system which models an infectious disease caused by bacteria such as those for cholera. One of the significant features in this model is that a certain portion of the recovered human…

Analysis of PDEs · Mathematics 2022-02-01 Hong-Ming Yin , Jun Zou

We present and analyze a mathematical model to study the feedback between behavior and epidemic spread in a population that is actively assessing and reacting to risk of infection. In our model, a population dynamically forms an opinion…

Dynamical Systems · Mathematics 2025-03-20 Marcela Ordorica Arango , Anastasia Bizyaeva , Simon A. Levin , Naomi Ehrich Leonard

Mathematical models describing SARS-CoV-2 dynamics and the corresponding immune responses in patients with COVID-19 can be critical to evaluate possible clinical outcomes of antiviral treatments. In this work, based on the concept of virus…

We introduce and investigate an SIS-type model for the spread of an infectious disease, where the infected population is structured with respect to the different strain of the virus/bacteria they are carrying. Our aim is to capture the…

Analysis of PDEs · Mathematics 2019-03-25 Àngel Calsina , József Z. Farkas

Since the start of the still ongoing COVID-19 pandemic, there have been many modeling efforts to assess several issues of importance to public health. In this work, we review the theory behind some important mathematical models that have…

Populations and Evolution · Quantitative Biology 2022-01-06 Fernando Saldaña , Jorge X Velasco-Hernández

We develop a statistical model for the testing of disease prevalence in a population. The model assumes a binary test result, positive or negative, but allows for biases in sample selection and both type I (false positive) and type II…

Applications · Statistics 2021-12-28 Lucas Böttcher , Maria R. D'Orsogna , Tom Chou

Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) has a variable clinical presentation that ranges from asymptomatic, to severe disease with cytokine storm. The mortality rates also differ across the globe, ranging from 0.5-13%.…

In this paper we analyze the effects of commuting and social inequalities for the epidemic development of the novel coronavirus (COVID-19). With this aim we consider a SEIRD (susceptible, exposed, infected, recovered and dead by disease)…

Populations and Evolution · Quantitative Biology 2020-08-18 João A. M. Gondim , Thiago Yukio Tanaka

Immunological systems have been an abundant inspiration to contemporary computer scientists. Problem solving strategies, stemming from known immune system phenomena, have been successfully applied to challenging problems of modern computing…

Cell Behavior · Quantitative Biology 2017-05-24 Alexandre de Castro , Carlos Frederico Fronza , Domingos Alves

We consider the spread of epidemics in technological and social networks. How do people react? Does awareness and cautious behavior help? We analyze these questions and present a dynamic model to describe the movement of individuals and/or…

Social and Information Networks · Computer Science 2015-03-19 Robert Elsässer , Adrian Ogierman

In this research, we develop a framework to analyze the interaction between the economy and the Covid-19 pandemic using an extension of SIR epidemic model. At the outset, we assume there are two health related investments including general…

Optimization and Control · Mathematics 2022-02-14 Zachariah Sinkala , Vajira Manathunga , Bichaka Fayissa

Human mobility forms the backbone of contact patterns through which infectious diseases propagate, fundamentally shaping the spatio-temporal dynamics of epidemics and pandemics. While traditional models are often based on the assumption…

Epidemic models describe the evolution of a communicable disease over time. These models are often modified to include the effects of interventions (control measures) such as vaccination, social distancing, school closings etc. Many such…

Methodology · Statistics 2026-01-27 Heejong Bong , Valérie Ventura , Larry Wasserman