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An increasing amount of geo-referenced mobile phone data enables the identification of behavioral patterns, habits and movements of people. With this data, we can extract the knowledge potentially useful for many applications including the…

Applications · Statistics 2015-03-24 Sanja Brdar , Katarina Gavric , Dubravko Culibrk , Vladimir Crnojevic

Tuberculosis (TB) and human immunodeficiency virus (HIV) can be considered a deadly human syndemic. In this article, we formulate a model for TB and HIV transmission dynamics. The model considers both TB and acquired immune deficiency…

Dynamical Systems · Mathematics 2014-07-15 Cristiana J. Silva , Delfim F. M. Torres

Quantifying the attack ratio of disease is key to epidemiological inference and Public Health planning. For multi-serotype pathogens, however, different levels of serotype-specific immunity make it difficult to assess the population at…

Populations and Evolution · Quantitative Biology 2015-02-05 Flavio Coelho , Luiz Max Carvalho

Multiple myeloma (MM) is preceded by a long preclinical phase spanning decades, yet scalable, non-specialist tools to identify individuals at elevated risk before end-organ damage are lacking. In a prospective analysis of 299,035…

Applications · Statistics 2026-04-07 Bingjie Li , Jiadai Xu , Yiqing Sun , Feiyue Pan , Shing-Tung Yau , Peng Liu , Zhigang Yao

We will study a mathematical model of the human immunodeficiency virus (HIV) infection in the presence of combination therapy that includes within-host infectious dynamics. The deterministic model requires us to analyze asymptotic stability…

Populations and Evolution · Quantitative Biology 2017-09-04 Majid Jaberi Douraki

As the global HIV pandemic enters its fourth decade, increasing numbers of surveillance sites have been established which allows countries to look into the epidemics at a finer scale, e.g. at sub-national level. However, the epidemic models…

Applications · Statistics 2014-11-18 Le Bao , Mary Mahy , Xiaoyue Niu , Tim Brown , Peter Ghys

In immunological studies, the characterization of small, functionally distinct cell subsets from blood and tissue is crucial to decipher system level biological changes. An increasing number of studies rely on assays that provide…

We study the influence of the rate of the attainment of herd immunity (HI), in the absence of an approved vaccine, on the vulnerable population. We essentially ask the question: how hard the evolution towards the desired herd immunity could…

Populations and Evolution · Quantitative Biology 2020-06-01 Sayantan Mondal , Saumyak Mukherjee , Biman Bagchi

We have developed a mathematical model for in-host virus dynamics that includes spatial chemotaxis and diffusion across a two dimensional surface representing the vaginal or rectal epithelium at primary HIV infection. A linear stability…

Quantitative Methods · Quantitative Biology 2016-03-07 Ognjen Stancevic , Christopher Angstmann , John M. Murray , Bruce I. Henry

Viral infections trigger complex immune responses with heterogeneous outcomes shaped by nonlinear feedbacks. An ordinary differential equation model is developed to investigate immune response dynamics during viral infection, incorporating…

Quantitative Methods · Quantitative Biology 2025-10-08 Xiaoxin Wang , Kai Kang , Leyi Zhang , Changjing Zhuge

The recent COVID-19 pandemic has shown that when the reproduction number is high and there are no proper measurements in place, the number of infected people can increase dramatically in a short time, producing a phenomenon that many…

Populations and Evolution · Quantitative Biology 2022-09-20 Jonathan A. Chávez Casillas

SIRS models capture transmission dynamics of infectious diseases for which immunity is not lifelong. Extending these models by a W compartment for individuals with waning immunity, the boosting of the immune system upon repeated exposure…

Populations and Evolution · Quantitative Biology 2022-01-19 Richmond Opoku-Sarkodie , Ferenc A. Bartha , Mónika Polner , Gergely Röst

Early detection of clinical outcomes such as cancer may be predicted based on longitudinal biomarker measurements. Tracking longitudinal biomarkers as a way to identify early disease onset may help to reduce mortality from diseases like…

An individual detected as HIV positive in Cuba is asked to provide a list of his/her sexual contacts for the previous 2 years. This allows one to gather detailed information on the spread of the HIV epidemic. Here we study the evolution of…

Social and Information Networks · Computer Science 2011-09-13 Charanpal Dhanjal , Stephan Clemencon , Hector De Arazoza , Fabrice Rossi , Viet Chi Tran

We present a comprehensive statistical methodological framework for estimating contextual exposure to HIV that includes local (grid-cell level) estimation of HIV prevalence and human activity space estimation based on GPS data. The…

Motivation: The discovery of relationships between gene expression measurements and phenotypic responses is hampered by both computational and statistical impediments. Conventional statistical methods are less than ideal because they either…

Methodology · Statistics 2019-07-16 Lei Ding , Daniel J. McDonald

Infectious diseases spread through human networks. Susceptible-Infected-Removed (SIR) model is one of the epidemic models to describe infection dynamics on a complex network connecting individuals. In the metapopulation SIR model, each node…

Physics and Society · Physics 2015-08-27 Kanako Mizuno , Kazue Kudo

Aim of this manuscript is to show a simple method to infer the time-course of new COVID-19 infections (the most important information in order to establish the effect of containment strategies) from available aggregated data, such as number…

Populations and Evolution · Quantitative Biology 2020-04-21 Andrea Pugliese , Sara Sottile

Human behavior plays a critical role in shaping epidemic trajectories. During health crises, people respond in diverse ways in terms of self-protection and adherence to recommended measures, largely reflecting differences in how individuals…

Physics and Society · Physics 2026-01-30 Fabio Mazza , Gabriele Ricci , Francesca Colaiori , Stefano Guarino , Sandro Meloni , Fabio Saracco

Herd immunity is a critical concept in epidemiology, describing a threshold at which a sufficient proportion of a population is immune, either through infection or vaccination, thereby preventing sustained transmission of a pathogen. In the…

Populations and Evolution · Quantitative Biology 2025-03-03 Gabriel Turinici