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Point and interval estimation of future disability inception and recovery rates are predominantly carried out by combining generalized linear models (GLM) with time series forecasting techniques into a two-step method involving parameter…

Applications · Statistics 2014-12-24 Boualem Djehiche , Björn Löfdahl

Chronic diseases and cancer account for over 75 percent of healthcare costs in the US. Increased prevention services and improved primary care are thought to decrease costs. Current models for detecting changes in the health of populations…

Populations and Evolution · Quantitative Biology 2013-07-15 Jacob Kuriyan , Nathaniel Cobb

Recently, it has been shown that the transition rates of the illness-death model (IDM) for chronic conditions are related to the percentages of people in the states by a three-dimensional system of differential equations [Bri24]. The aim of…

Applications · Statistics 2025-02-05 Ralph Brinks

Continuous-time multi-state survival models can be used to describe health-related processes over time. In the presence of interval-censored times for transitions between the living states, the likelihood is constructed using transition…

Methodology · Statistics 2017-03-24 Robson J. M. Machado , Ardo van den Hout

Many medical decisions involve the use of dynamic information collected on individual patients toward predicting likely transitions in their future health status. If accurate predictions are developed, then a prognostic mode can identify…

Methodology · Statistics 2018-02-22 Aasthaa Bansal , Patrick J. Heagerty

Stochastic epidemic models describe the dynamics of an epidemic as a disease spreads through a population. Typically, only a fraction of cases are observed at a set of discrete times. The absence of complete information about the time…

Computation · Statistics 2017-02-14 Jonathan Fintzi , Xiang Cui , Jon Wakefield , Vladimir N. Minin

Understanding the progression of cancer is crucial for defining treatments for patients. The objective of this study is to automate the detection of metastatic liver disease from free-style computed tomography (CT) radiology reports. Our…

Machine Learning · Computer Science 2023-10-31 Maede Ashofteh Barabadi , Xiaodan Zhu , Wai Yip Chan , Amber L. Simpson , Richard K. G. Do

A particular challenge for disease progression modeling is the heterogeneity of a disease and its manifestations in the patients. Existing approaches often assume the presence of a single disease progression characteristics which is…

Machine Learning · Computer Science 2022-07-26 Taha Ceritli , Andrew P. Creagh , David A. Clifton

Joint models (JM) for longitudinal and survival data have gained increasing interest and found applications in a wide range of clinical and biomedical settings. These models facilitate the understanding of the relationship between outcomes…

Methodology · Statistics 2023-08-25 Sida Chen , Danilo Alvares , Christopher Jackson , Jessica Barrett

As populations age, the rise of multimorbidity poses a significant healthcare challenge. However, our ability to quantitatively forecast the progression of multimorbidity remains limited. Leveraging a nationwide dataset comprising…

Physics and Society · Physics 2025-07-29 Katharina Ledebur , Alexandra Kautzky-Willer , Stefan Thurner , Peter Klimek

Recently, we proposed an state model (compartment model) to describe the progression of a chronic disease with an pre-clinical (undiagnosed) state before clinical diagnosis. It is an open question, if a sequence of cross-sectional studies…

Populations and Evolution · Quantitative Biology 2015-11-24 Ralph Brinks

Under certain conditions, the dynamics of coarse-grained models of solvated proteins can be described using a Markov state model, which tracks the evolution of populations of configurations. The transition rates among states that appear in…

Soft Condensed Matter · Physics 2022-09-26 Margarita Colberg , Jeremy Schofield

Disease progression models are widely used to inform the diagnosis and treatment of many progressive diseases. However, a significant limitation of existing models is that they do not account for health disparities that can bias the…

Machine Learning · Computer Science 2025-05-01 Erica Chiang , Divya Shanmugam , Ashley N. Beecy , Gabriel Sayer , Deborah Estrin , Nikhil Garg , Emma Pierson

We develop a stochastic epidemic model progressing over dynamic networks, where infection rates are heterogeneous and may vary with individual-level covariates. The joint dynamics are modeled as a continuous-time Markov chain such that…

Methodology · Statistics 2021-12-16 Fan Bu , Allison E. Aiello , Alexander Volfovsky , Jason Xu

State-space models have been widely used to model the dynamics of communicable diseases in populations of interest by fitting to time-series data. Particle filters have enabled these models to incorporate stochasticity and so can better…

Applications · Statistics 2022-05-17 Conor Rosato , John Harris , Jasmina Panovska-Griffiths , Simon Maskell

At the onset of the Covid-19 pandemic, a number of non-pharmaceutical interventions have been implemented in order to reduce transmission, thus leading to multiple phases of transmission. The disease reproduction number $R_t$, a way of…

Applications · Statistics 2023-05-03 Petros Barmpounakis , Nikolaos Demiris

Cardiovascular diseases state as one of the greatest risks of death for the general population. Late detection in heart diseases highly conditions the chances of survival for patients. Age, sex, cholesterol level, sugar level, heart rate,…

This paper focuses on and analyzes realistic SIR models that take stochasticity into account. The proposed systems are applicable to most incidence rates that are used in the literature including the bilinear incidence rate, the…

Probability · Mathematics 2024-07-10 Nguyen Du , Alexandru Hening , Nhu Nguyen , George Yin

Biomarker measurements obtained by blood sampling are often used as a non-invasive means of monitoring tumour progression in cancer patients. Diseases evolve dynamically over time, and studying longitudinal observations of specific…

Applications · Statistics 2025-03-14 Alice Cleynen , Benoîte de Saporta , Amélie Vernay

This paper addresses the task of modeling severity losses using segmentation when the data distribution does not fall into the usual regression frameworks. This situation is not uncommon in lines of business such as third-party liability…

Applications · Statistics 2021-11-29 Martin Bladt