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We propose and analyse an optimal control problem where the control system is a mathematical model for tuberculosis that considers reinfection. The control functions represent the fraction of early latent and persistent latent individuals…

Optimization and Control · Mathematics 2014-10-13 Paula Rodrigues , Cristiana J. Silva , Delfim F. M. Torres

Tuberculosis (TB) is the leading cause of death from an infectious disease globally, with the highest burden in low- and middle-income countries. In these regions, limited healthcare access and high patient-to-provider ratios impede…

Artificial Intelligence · Computer Science 2025-03-03 Daniil Filienko , Mahek Nizar , Javier Roberti , Denise Galdamez , Haroon Jakher , Sarah Iribarren , Weichao Yuwen , Martine De Cock

Risk prediction models are a crucial tool in healthcare. Risk prediction models with a binary outcome (i.e., binary classification models) are often constructed using methodology which assumes the costs of different classification errors…

The monitoring, analysis and prediction of epidemic spread in the region require the construction of mathematical model, big data processing and visualization because the amount of population and the size of the region could be huge. One of…

Populations and Evolution · Quantitative Biology 2020-02-07 Sergey Kabanikhin , Olga Krivorotko , Aliya Takuadina , Darya Andornaya , Shuhua Zhang

The COVID-19 pandemic provides new motivation for a classic problem in epidemiology: estimating the empirical rate of transmission during an outbreak (formally, the time-varying reproduction number) from case counts. While standard methods…

Methodology · Statistics 2020-12-08 Bryan Wilder , Michael J. Mina , Milind Tambe

Dynamic models have been successfully used in producing estimates of HIV epidemics at national level, due to their epidemiological nature and their ability to simultaneously estimate prevalence, incidence, and mortality rates. Recently, HIV…

Methodology · Statistics 2016-02-19 Le Bao , Ben Sheng , Xiaoyue Niu , Yuan Tang , Tim Brown , Peter D. Ghys , Jeff W. Eaton

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

An innovative sampling strategy is proposed, which applies to large-scale population-based surveys targeting a rare trait that is unevenly spread over a geographical area of interest. Our proposal is characterised by the ability to tailor…

Methodology · Statistics 2020-04-07 Fulvia Mecatti , Charalambos Sismanidis , Emanuela Furfaro

Nowcasting and forecasting of epidemic spreading rely on incidence series of reported cases to derive the fundamental epidemiological parameters for a given pathogen. Two relevant drawbacks for predictions are the unknown fractions of…

Populations and Evolution · Quantitative Biology 2022-08-31 Guilherme S. Costa , Wesley Cota , Silvio C. Ferreira

In small area estimation, it is sometimes necessary to use model-based methods to produce estimates in areas with little or no data. In official statistics, we often require that some aggregate of small area estimates agree with a national…

Methodology · Statistics 2023-01-31 Taylor Okonek , Jon Wakefield

In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconception in the…

Applications · Statistics 2020-05-19 Omid Sedehi , Costas Papadimitriou , Lambros S. Katafygiotis

The COVID-19 pandemic has highlighted delayed reporting as a significant impediment to effective disease surveillance and decision-making. In the absence of timely data, statistical models which account for delays can be adopted to nowcast…

Applications · Statistics 2020-11-19 Oliver Stoner , Theo Economou , Alba Halliday

Count data are often subject to underreporting, especially in infectious disease surveillance. We propose an approximate maximum likelihood method to fit count time series models from the endemic-epidemic class to underreported data. The…

Methodology · Statistics 2020-08-25 Johannes Bracher , Leonhard Held

The problem of overdispersed claim counts and mismeasured covariates is common in insurance. On the one hand, the presence of overdispersion in the count data violates the homogeneity assumption, and on the other hand, measurement errors in…

Methodology · Statistics 2023-10-12 Minkun Kim

Quantifying uncertainty and updating reliability are essential for ensuring the safety and performance of engineering systems. This study develops a hierarchical Bayesian modeling (HBM) framework to quantify uncertainty and update…

Methodology · Statistics 2024-12-31 Xinyu Jia , Weinan Hou , Costas Papadimitriou

In this manuscript we apply stochastic modeling to investigate the risk of reactivation of latent mycobacterial infections in patients undergoing treatment with tumor necrosis factor inhibitors. First, we review the perspective proposed by…

Medical Physics · Physics 2013-04-22 Elena Agliari , Lorenzo Asti , Adriano Barra , Rossana Scrivo , Guido Valesini , Robert S. Wallis

Tuberculosis (TB) is an airborne disease caused by the pathogen Mycobacterium tuberculosis. In 2023, according to the World Health Organization, it ''probably'' replaced COVID-19 as the leading cause of death from an infectious agent…

Populations and Evolution · Quantitative Biology 2026-04-29 James W. G. Doran , Cameron A. Smith , Christian A. Yates , Ruth Bowness

Background and Objective: Tuberculosis (TB) is a significant public health issue and a leading cause of death worldwide. Millions of deaths can be averted by early diagnosis and successful treatment of TB patients. Automated diagnosis of TB…

Image and Video Processing · Electrical Eng. & Systems 2020-11-20 Anushikha Singh , Brejesh Lall , B. K. Panigrahi , Anjali Agrawal , Anurag Agrawal , Balamugesh Thangakunam , DJ Christopher

Tuberculosis (TB) is an infectious disease transmitted through the respiratory system. China is one of the countries with a high burden of TB. Since 2004, an average of more than 800,000 cases of active TB have been reported each year in…

Applications · Statistics 2023-04-03 Chuanqing Xu , Kedeng Cheng , Yu Wang , Songbai Guo , Maoxing Liu , Xiaojing Wang , Zhiguo Zhang

One of the most serious public health problems in Peru and worldwide is Tuberculosis (TB), which is produced by a bacterium known as Mycobacterium tuberculosis. The purpose of this work is to facilitate and automate the diagnosis of…

Image and Video Processing · Electrical Eng. & Systems 2021-04-05 Dennis Núñez-Fernández , Lamberto Ballan , Gabriel Jiménez-Avalos , Jorge Coronel , Patricia Sheen , Mirko Zimic