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The objective of the present paper is to use the well known Ross-Macdonald models as a prototype, incorporating spatial movements, identifying different times scales and proving a singular perturbation result using a system of local and…

Analysis of PDEs · Mathematics 2023-07-19 Marcone C. Pereira , Sergio Oliva , Larissa M. Sartori

Mutations sometimes increase contagiousness for evolving pathogens. During an epidemic, scientists use viral genome data to infer a shared evolutionary history and connect this history to geographic spread. We propose a model that directly…

Populations and Evolution · Quantitative Biology 2021-09-14 Andrew J. Holbrook , Xiang Ji , Marc A. Suchard

Non-terminal events can represent a meaningful change in a patient's life. Thus, better understanding and predicting their occurrence can bring valuable information to individuals. In a context where longitudinal markers could inform these…

Methodology · Statistics 2025-01-16 Juliette Ortholand , Stanley Durrleman , Sophie Tezenas du Montcel

This paper introduces a spatio-temporal resonator model and an inference method for detection and estimation of nearly periodic temporal phenomena in spatio-temporal data. The model is derived as a spatial extension of a stochastic harmonic…

Computation · Statistics 2013-12-23 Arno Solin , Simo Särkkä

Phenotypic variability in a population of cells can work as the bet-hedging of the cells under an unpredictably changing environment, the typical example of which is the bacterial persistence. To understand the strategy to control such…

Populations and Evolution · Quantitative Biology 2019-12-02 So Nakashima , Yuki Sughiyama , Tetsuya J. Kobayashi

Reliably predicting the future spread of brain tumors using imaging data and on a subject-specific basis requires quantifying uncertainties in data, biophysical models of tumor growth, and spatial heterogeneity of tumor and host tissue.…

Computational Engineering, Finance, and Science · Computer Science 2022-09-27 Baoshan Liang , Jingye Tan , Luke Lozenski , David A. Hormuth , Thomas E. Yankeelov , Umberto Villa , Danial Faghihi

In this article, we present a Bayesian hierarchical model for predicting a latent health state from longitudinal clinical measurements. Model development is motivated by the need to integrate multiple sources of data to improve clinical…

Environmental and climate processes are often distributed over large space-time domains. Their complexity and the amount of available data make modelling and analysis a challenging task. Statistical modelling of environment and climate data…

Methodology · Statistics 2019-10-02 Behnaz Pirzamanbein

Multiple chronic conditions (MCC) are one of the biggest challenges of modern times. The evolution of MCC follows a complex stochastic process that is influenced by a variety of risk factors, ranging from pre-existing conditions to…

Deterministic models are developed for the spatial spread of epidemic diseases in geographical settings. The models are focused on outbreaks that arise from a small number of infected hosts imported into sub-regions of the geographical…

Populations and Evolution · Quantitative Biology 2018-01-08 Pierre Magal , Glenn F. Webb , Yixiang Wu

The analysis of population-wide datasets can provide insight on the health status of large populations so that public health officials can make data-driven decisions. The analysis of such datasets often requires highly parameterized models…

Applications · Statistics 2021-02-03 Dorota Młynarczyk , Carmen Armero , Virgilio Gómez-Rubio , Pedro Puig

High-dimensional data can be useful for causal inference by providing many confounders that may bolster the plausibility of the ignorability assumption. Propensity score methods are powerful tools for causal inference, are popular in health…

Methodology · Statistics 2017-10-10 Jacob Spertus , Sharon-Lise Normand

Spatial trend estimation under potential heterogeneity is an important problem to extract spatial characteristics and hazards such as criminal activity. By focusing on quantiles, which provide substantial information on distributions…

Methodology · Statistics 2023-10-24 Takahiro Onizuka , Shintaro Hashimoto , Shonosuke Sugasawa

Airborne pandemics have caused millions of deaths worldwide, large-scale economic losses, and catastrophic sociological shifts in human history. Researchers have developed multiple mathematical models and computational frameworks to…

Information Retrieval · Computer Science 2024-06-18 Teddy Lazebnik , Ariel Alexi

Zoonosis refers to the transmission of infectious diseases from animal to human. The increasing number of zoonosis incidence makes the great losses to lives, including humans and animals, and also the impact in social economic. It motivates…

Machine Learning · Computer Science 2009-10-08 Adhistya Erna Permanasari , Dayang Rohaya Awang Rambli , Dhanapal Durai Dominic

This work is motivated by an original dataset of reported mumps cases across nine regions of England, and focuses on the modeling of temporal dynamics and time-varying dependency patterns between the observed time series. The goal is to…

Applications · Statistics 2024-11-13 Hardeep Kaur , Riccardo Rastelli

In this work, we introduce Brain Latent Progression (BrLP), a novel spatiotemporal disease progression model based on latent diffusion. BrLP is designed to predict the evolution of diseases at the individual level on 3D brain MRIs. Existing…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Lemuel Puglisi , Daniel C. Alexander , Daniele Ravì

End-stage renal disease has many adverse complications associated with it leading to 20-50% higher mortality rates in people than those without the disease. This makes it one of the leading causes of death in the United States. This article…

Applications · Statistics 2023-09-13 Supraja Malladi , Indranil Sahoo , QiQi Lu

We study a nonlocal SIS epidemic model with free boundaries, advection, and spatial heterogeneity, where the dispersal kernels are not assumed to be symmetric. The model describes the evolution of susceptible and infected populations in a…

Analysis of PDEs · Mathematics 2026-03-26 Soufiane Bentout , Hoang-Hung Vo

Motivated by genetic association studies of pleiotropy, we propose here a Bayesian latent variable approach to jointly study multiple outcomes or phenotypes. The proposed method models both continuous and binary phenotypes, and it accounts…

Applications · Statistics 2012-11-08 Lizhen Xu , Radu V. Craiu , Lei Sun