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Conditional auto-regressive (CAR) distributions are widely used to induce spatial dependence in the geographic analysis of areal data. These distributions establish multivariate dependence networks by defining conditional relationships…

Methodology · Statistics 2025-07-14 Miguel A. Martinez-Beneito , Aritz Adín , Tomás Goicoa , Lola Ugarte

We present a new joint longitudinal and survival model aimed at estimating the association between the risk of an event and the change in and history of a biomarker that is repeatedly measured over time. We use cubic B-splines models for…

Applications · Statistics 2009-10-12 Elizabeth R. Brown

The past decade has seen tremendous progress in the development of biomedical agents that are effective as pre-exposure prophylaxis (PrEP) for HIV prevention. To expand the choice of products and delivery methods, new medications and…

Methodology · Statistics 2020-11-03 Fei Gao , David V. Glidden , James P. Hughes , Deborah Donnell

Pre-exposure prophylaxis (PrEP) is an effective intervention for preventing HIV transmission, but high cost and uneven uptake raise challenges for resource allocation. While spillover effects, wherein PrEP use in one group reduces…

Dynamical Systems · Mathematics 2026-02-06 Chiara Piazzola , Salman Safdar , Alex Viguerie , Abba B. Gumel

Relative survival represents the preferred framework for the analysis of population cancer survival data. The aim is to model the survival probability associated to cancer in the absence of information about the cause of death. Recent data…

The spread of sexually transmitted diseases (e.g. Chlamydia, Syphilis, Gonorrhea, HIV) across populations is a major concern for scientists and health agencies. In this context, both data collection on sexual contact networks and the…

Physics and Society · Physics 2009-11-13 J. Gomez-Gardenes , V. Latora , Y. Moreno , E. V. Profumo

Pathogen deep-sequencing is an increasingly routinely used technology in infectious disease surveillance. We present a semi-parametric Bayesian Poisson model to exploit these emerging data for inferring infectious disease transmission flows…

Applications · Statistics 2022-01-06 Xiaoyue Xi , Simon EF Spencer , Matthew Hall , M Kate Grabowski , Joseph Kagaayi , Oliver Ratmann

Accurate epidemic forecasting is crucial for public health response, resource allocation, and outbreak intervention, but remains difficult with sparse, noisy, and highly non-stationary data. Because epidemics unfold across interacting…

Artificial Intelligence · Computer Science 2026-05-08 Ruiqi Lyu , Alistair Turcan , Bryan Wilder

HIV pre-exposure prophylaxis (PrEP) drastically reduces the risk of HIV infection if taken as prescribed, providing almost perfect protection even during unprotected sexual intercourse. Although this has been transformative in reducing new…

Populations and Evolution · Quantitative Biology 2025-12-15 Piklu Mallick , Laura Müller , Antonio Marín-Carballo , Philipp Dönges , Seba Contreras

Objective: The reservoir of human immunodeficiency virus (HIV) latently infected cells is the major obstacle for eradication of acquired immunodeficiency syndrome (AIDS). Due to the noisy environment and multiple influencing factors in the…

Biological Physics · Physics 2024-11-06 Ruiqi Xiong , Yang Su , Ping Ao

Joint modelling of longitudinal observations and event times continues to remain a topic of considerable interest in biomedical research. For example, in HIV studies, the longitudinal bio-marker such as CD4 cell count in a patient's blood…

Methodology · Statistics 2024-07-19 Srimanti Dutta , Arindom Chakraborty , Dipankar Bandyopadhyay

Recently, a long-term model of HIV infection dynamics was developed to describe the entire time course of the disease. It consists of a large system of ODEs with many parameters, and is expensive to simulate. In the current paper, this…

Populations and Evolution · Quantitative Biology 2016-04-20 Tyson Loudon , Stephen Pankavich

Mathematical modeling of biological systems is crucial to effectively and efficiently developing treatments for medical conditions that plague humanity. Often, systems of ordinary differential equations are a traditional tool used to…

Classical Analysis and ODEs · Mathematics 2015-09-01 Eric Jones , Peter Roemer , Mrinal Raghupathi , Stephen Pankavich

Men who have sex with men (MSM) remain disproportionately affected by HIV, yet optimizing Pre-exposure Prophylaxis (PrEP) distribution remains a public health challenge. Current guidelines and most modelling studies do not incorporate…

Physics and Society · Physics 2026-03-17 João Brázia , István Z. Kiss , Alexandre P. Francisco , Andreia Sofia Teixeira

Retaining persons living with HIV (PLWH) in medical care is paramount to preventing new transmissions of the virus and allowing PLWH to live normal and healthy lifespans. Maintaining regular appointments with an HIV provider and taking…

A target to eliminate Human Immuno-deficiency Virus (HIV) transmission in England by 2030 was set in early 2019. Estimates of recent trends in HIV prevalence, particularly the number of people living with undiagnosed HIV, by exposure group,…

These notes describe stochastic epidemics in a homogenous community. Our main concern is stochastic compartmental models (i.e. models where each individual belongs to a compartment, which stands for its status regarding the epidemic under…

Probability · Mathematics 2020-02-06 Tom Britton , Etienne Pardoux

Many important questions in infectious disease epidemiology involve the effects of covariates (e.g., age or vaccination status) on infectiousness and susceptibility, which can be measured in studies of transmission in households or other…

Applications · Statistics 2025-06-27 Yushuf Sharker , Zaynab Diallo , Wasiur R. KhudaBukhsh , Eben Kenah

Time elapsed till an event of interest is often modeled using the survival analysis methodology, which estimates a survival score based on the input features. There is a resurgence of interest in developing more accurate prediction models…

Machine Learning · Computer Science 2024-07-23 Navid Seidi , Ardhendu Tripathy , Sajal K. Das

Crime events are known to reveal spatio-temporal patterns, which can be used for predictive modeling and subsequent decision support. While the focus has hitherto been placed on areas with high population density, we address the challenging…

Computers and Society · Computer Science 2019-02-12 Cristina Kadar , Rudolf Maculan , Stefan Feuerriegel
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