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Statistical models used to estimate the spatio-temporal pattern in disease risk from areal unit data represent the risk surface for each time period with known covariates and a set of spatially smooth random effects. The latter act as a…

Applications · Statistics 2016-04-19 Alastair Rushworth , Duncan Lee , Christophe Sarran

Respiratory airflow signals provide critical insight into breathing mechanics, yet conventional analysis methods remain limited in their ability to characterize the internal structure of individual breaths. Traditional approaches treat…

Signal Processing · Electrical Eng. & Systems 2026-04-27 Victoria Ribeiro Rodrigues , Paul W. Davenport , Nicholas J. Napoli

Frequently during its lifetime a human organism is subjected to the acoustical and similar to them vibrating impacts. Under the certain conditions such influence may cause physiological changes in the organs functioning. Thus the study of…

Biological Physics · Physics 2007-12-27 A. S. Kholodov , S. S. Simakov , A. A. Nadolsky , A. N. Shushlebin

Wind affects the stability and maneuverability of UAVs, which can be particularly dangerous when operating near obstacles or each other. In order to test the effectiveness of formation control laws and the impact of windy environments on…

Optimization and Control · Mathematics 2019-05-27 Kenan Cole , Adam Wickenheiser

In this paper, we derive an effective model for transport processes in periodically perforated elastic media, taking into account, e.g., cyclic elastic deformations as they occur in lung tissue due to respiratory movement. The underlying…

Analysis of PDEs · Mathematics 2022-06-15 Jonas Knoch , Markus Gahn , Maria Neuss-Radu , Nicolas Neuß

Localized vortices can have significant influence on transport of inhaled particles through the upper respiratory tract. These vortices have complex three-dimensional structure with details dependent on the anatomical geometry. Using a…

Fluid Dynamics · Physics 2024-06-17 Saikat Basu , Leonardo P Chamorro , Mohammad Yeasin , Mark A Stremler

A numerical framework for the 'real-time' estimation of the infection risk from airborne diseases (e.g., SARS-CoV-2) in indoor spaces such as hospitals, restaurants, cinemas or teaching rooms is proposed. The developed model is based on the…

Topological structure of bronchial trees affects transport of gases and aerosols in the respiratory system. We start by providing a quantitative assessment of the ability of the alternative tree representations to predict observable…

Medical Physics · Physics 2021-11-16 Ali Saab , Leila Issa , Salah Zeineddine , Daniel M. Tartakovsky , Issam Lakkis

In this work we present a mathematical framework that quantifies the gas-exchange processes in the lung. The theory is based on the solution of the one-dimensional diffusion equation on a simplified model of lung septum. Gases dissolved…

Quantitative Methods · Quantitative Biology 2010-08-25 Yulin V. Chang

Diffusion models have been widely used in time series and spatio-temporal data, enhancing generative, inferential, and downstream capabilities. These models are applied across diverse fields such as healthcare, recommendation, climate,…

Machine Learning · Computer Science 2025-12-09 Yiyuan Yang , Ming Jin , Haomin Wen , Chaoli Zhang , Yuxuan Liang , Lintao Ma , Yi Wang , Chenghao Liu , Bin Yang , Zenglin Xu , Shirui Pan , Qingsong Wen

In the area of supercritical wing design, a variety of principles, laws and rules have been summarized by scholars who perform theoretical and experimental analyses. The applicability of these rules is usually restricted by the airfoil…

Fluid Dynamics · Physics 2021-12-16 Runze Li , Yufei Zhang , Haixin Chen

Air pollution is a great concern because of its impact on human health and on the environment. Statistical models play an important role in improving knowledge of this complex spatio-temporal phenomenon and in supporting public agencies and…

Applications · Statistics 2015-03-17 Michela Cameletti , Rosaria Ignaccolo , Stefano Bande

The rates of respiratory prescriptions vary by GP surgery across Scotland, suggesting there are sizeable health inequalities in respiratory ill health across the country. The aim of this paper is to estimate the magnitude, spatial pattern…

Applications · Statistics 2017-04-24 Duncan Lee

The inherent characteristics of lung tissues, which are independent of breathing manoeuvre, may provide fundamental information on lung function. This paper attempted to study function-correlated lung textures and their spatial distribution…

Medical Physics · Physics 2024-03-28 Yu-Hua Huang , Xinzhi Teng , Jiang Zhang , Zhi Chen , Zongrui Ma , Ge Ren , Feng-Ming , Kong , Jing Cai

Disease outbreaks, such as those of Severe Acute Respiratory Syndrome in 2003 and the 2009 pandemic A(H1N1) influenza, have highlighted the potential for airborne transmission in indoor environments. Respirable pathogen-carrying droplets…

Physics and Society · Physics 2012-01-10 M. Robinson , N. I. Stilianakis , Y. Drossinos

It is of utmost importance to have a clear understanding of the status of air pollution and to provide forecasts and insights about the air quality to the general public and researchers in environmental studies. Previous studies of…

Methodology · Statistics 2021-04-08 Soudeep Deb , Ruey S. Tsay

For the one billion sufferers of respiratory disease, managing their disease with inhalers crucially influences their quality of life. Generic treatment plans could be improved with the aid of computational models that account for…

We study the two-dimensional (2D) shear flow of amorphous solids within variants of an elastoplastic model, paying particular attention to spatial correlations and time fluctuations of, e.g., local stresses. The model is based on the local…

Soft Condensed Matter · Physics 2014-03-27 Alexandre Nicolas , Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

We model a shear-thickening fluid that combines a tendency to form inhomogeneous, shear-banded flows with a slow relaxational dynamics for fluid microstructure. The interplay between these factors gives rich dynamics, with periodic regimes…

Soft Condensed Matter · Physics 2015-06-24 A. Aradian , M. E. Cates

Spatiotemporal patterns are common in biological systems. For electrically-coupled cells previous studies of pattern formation have mainly used external forcing as the main bifurcation parameter. The purpose of this paper is to show that…

Dynamical Systems · Mathematics 2021-11-02 H. O. Fatoyinbo , R. G. Brown , D. J. W. Simpson , B. van Brunt