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Related papers: Modeling Longitudinal Dynamics of Comorbidities

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We use the illness-death model (IDM) for chronic conditions to derive a new analytical relation between the transition rates between the states of the IDM. The transition rates are the incidence rate (i) and the mortality rates of people…

Methodology · Statistics 2024-02-23 Maryam Saem , Ralph Brinks

Some patients with COVID-19 show changes in signs and symptoms such as temperature and oxygen saturation days before being positively tested for SARS-CoV-2, while others remain asymptomatic. It is important to identify these subgroups and…

Methodology · Statistics 2024-10-22 Xiaoran Ma , Wensheng Guo , Mengyang Gu , Len Usvyat , Peter Kotanko , Yuedong Wang

Disease progression modeling provides a robust framework to identify long-term disease trajectories from short-term biomarker data. It is a valuable tool to gain a deeper understanding of diseases with a long disease trajectory, such as…

Multistate models (MSM) are well developed for continuous and discrete times under a first order Markov assumption. Motivated by a cohort of COVID-19 patients, an MSM was designed based on 14 transitions among 7 states of a patient. Since a…

Statistics Theory · Mathematics 2023-04-18 Mireia Besalú , Guadalupe Gómez Melis

In routine care, individuals identified a priori as high-risk are usually tested for conditions more frequently. Protected attributes, such as sex or ethnicity may also determine testing frequency. Such heterogeneous detection rates across…

Applications · Statistics 2026-05-08 Jose Benitez-Aurioles , Ricardo Silva , Brian McMillan , Matthew Sperrin

The development of statistical approaches for the joint modelling of the temporal changes of imaging, biochemical, and clinical biomarkers is of paramount importance for improving the understanding of neurodegenerative disorders, and for…

Applications · Statistics 2018-02-16 Marco Lorenzi , Maurizio Filippone , Daniel C. Alexander , Sebastien Ourselin

We introduce multiple hidden Markov models (MHMMs) where an observed multivariate categorical time series depends on an unobservable multivariate Mar- kov chain. MHMMs provide an elegant framework for specifying various independence…

Methodology · Statistics 2013-09-17 Roberto Colombi , Sabrina Giordano

During the recent pandemic, a rise in COVID-19 cases was followed by a decline in influenza. In the absence of cross-immunity, a potential explanation for the observed pattern is behavioral: non-pharmaceutical interventions (NPIs) designed…

Dynamical Systems · Mathematics 2026-04-20 Leah LeJeune , Omar Saucedo , Lauren M. Childs , Navid Ghaffarzadegan

Mobile health is a rapidly developing field in which behavioral treatments are delivered to individuals via wearables or smartphones to facilitate health-related behavior change. Micro-randomized trials (MRT) are an experimental design for…

Methodology · Statistics 2019-05-13 Tianchen Qian , Predrag Klasnja , Susan A. Murphy

Increasing evidence suggests that variability in longitudinal biomarkers, in addition to their mean trajectory, carries prognostic information for time-to-event outcomes. However, standard joint models typically capture only the expected…

Methodology · Statistics 2026-05-08 Felix Boakye Oppong , Dimitris Rizopoulos , Thierry Gorlia , Nicole Erler

In recent years, ML algorithms have been shown to be useful for predicting diseases based on health data and posed a potential application area for these algorithms such as modeling of diseases. The majority of these applications employ…

Machine Learning · Computer Science 2024-12-24 Elham Musaaed , Nabil Hewahi , Abdulla Alasaadi

This paper presents a new and flexible prognostics framework based on a higher order hidden semi-Markov model (HOHSMM) for systems or components with unobservable health states and complex transition dynamics. The HOHSMM extends the basic…

Applications · Statistics 2020-02-14 Ying Liao , Yisha Xiang , Min Wang

In many medical studies, patients are followed longitudinally and interest is on assessing the relationship between longitudinal measurements and time to an event. Recently, various authors have proposed joint modeling approaches for…

Applications · Statistics 2010-11-16 Paul S. Albert , Joanna H. Shih

Hematotoxicity, drug-induced damage to the blood-forming system, is a frequent side effect of cytotoxic chemotherapy and poses a significant challenge in clinical practice due to its high inter-patient variability and limited…

Machine Learning · Computer Science 2025-05-28 Marie Steinacker , Yuri Kheifetz , Markus Scholz

Medical studies for chronic disease are often interested in the relation between longitudinal risk factor profiles and individuals' later life disease outcomes. These profiles may typically be subject to intermediate structural changes due…

Applications · Statistics 2023-08-22 Sandra Keizer , Zhuozhao Zhan , Vasan S. Ramachandran , Edwin R. van den Heuvel

In oncology clinical trials, tumor burden (TB) stands as a crucial longitudinal biomarker, reflecting the toll a tumor takes on a patient's prognosis. With certain treatments, the disease's natural progression shows the tumor burden…

Methodology · Statistics 2024-09-24 Ethan M. Alt , Yixiang Qu , Emily Damone , Jing-ou Liu , Chenguang Wang , Joseph G. Ibrahim

In this work, we consider the problem of predicting the course of a progressive disease, such as cancer or Alzheimer's. Progressive diseases often start with mild symptoms that might precede a diagnosis, and each patient follows their own…

Machine Learning · Computer Science 2018-03-19 Yingying Zhu , Mert R. Sabuncu

Cardiovascular diseases (CVDs) are notably prevalent among patients with obstructive sleep apnea (OSA), posing unique challenges in predicting CVD progression due to the intricate interactions of comorbidities. Traditional models typically…

Applications · Statistics 2024-07-02 Duy Nguyen , Ca Hoang , Phat K. Huynh , Tien Truong , Dang Nguyen , Abhay Sharma , Trung Q. Le

The hidden Markov model (HMM) provides a powerful framework for inference in time-varying environments, where the underlying state evolves according to a Markov chain. To address the optimal filtering problem in general dynamic settings, we…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Dongyan Sui , Haotian Pu , Siyang Leng , Stefan Vlaski

In this article a flexible Bayesian non-parametric model is proposed for non-homogeneous hidden Markov models. The model is developed through the amalgamation of the ideas of hidden Markov models and predictor dependent stick-breaking…

Methodology · Statistics 2012-05-10 Abhra Sarkar , Anindya Bhadra , Bani K. Mallick
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