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Understanding how biomarker distributions evolve over time is a central challenge in digital health and chronic disease monitoring. In diabetes, changes in the distribution of glucose measurements can reveal patterns of disease progression…

Machine Learning · Statistics 2026-03-26 Antonio Álvarez-López , Marcos Matabuena

Alzheimers disease progresses slowly and involves complex interaction between various biological factors. Longitudinal medical imaging data can capture this progression over time. However, longitudinal data frequently encounter issues such…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Duy-Phuong Dao , Hyung-Jeong Yang , Jahae Kim

Mathematical modeling offers a valuable approach to understanding Alzheimers disease (AD) given its complexity, unknown causes, and lack of effective treatments. Models, once validated, offer a powerful tool to test medical hypotheses that…

Analysis of PDEs · Mathematics 2026-03-20 G. Landi , A. Scaravelli , M. C. Tesi , C. Testa

Normative modeling has recently been introduced as a promising approach for modeling variation of neuroimaging measures across individuals in order to derive biomarkers of psychiatric disorders. Current implementations rely on Gaussian…

Machine Learning · Statistics 2019-04-16 Seyed Mostafa Kia , Andre F. Marquand

Prediction of the future trajectory of a disease is an important challenge for personalized medicine and population health management. However, many complex chronic diseases exhibit large degrees of heterogeneity, and furthermore there is…

Machine Learning · Statistics 2016-08-17 Joseph Futoma , Mark Sendak , C. Blake Cameron , Katherine Heller

This study introduces an integrated framework for predictive causal inference designed to overcome limitations inherent in conventional single model approaches. Specifically, we combine a Hidden Markov Model (HMM) for spatial health state…

Methodology · Statistics 2025-10-31 Byunghee Lee , Hye Yeon Sin , Joonsung Kang

Spontaneous brain activity generically displays transient spatiotemporal coherent structures, which can selectively be affected in various neurological and psychiatric pathologies. Here we model the full brain's electroencephalographic…

Neurons and Cognition · Quantitative Biology 2025-02-25 Annalisa Caligiuri , David Papo , Görsev Yener , Bahar Güntekin , Tobias Galla , Lucas Lacasa , Massimiliano Zanin

Electronic health records contain valuable information for monitoring patients' health trajectories over time. Disease progression models have been developed to understand the underlying patterns and dynamics of diseases using these data as…

The ability to predict the future trajectory of a patient is a key step toward the development of therapeutics for complex diseases such as Alzheimer's disease (AD). However, most machine learning approaches developed for prediction of…

Despite recent progress in predicting biomarker trajectories from real clinical data, uncertainty in the predictions poses high-stakes risks (e.g., misdiagnosis) that limit their clinical deployment. To enable safe and reliable use of such…

Machine Learning · Statistics 2025-11-19 Vasiliki Tassopoulou , Charis Stamouli , Haochang Shou , George J. Pappas , Christos Davatzikos

Joint models for longitudinal and time-to-event data are commonly used in longitudinal studies to forecast disease trajectories over time. Despite the many advantages of joint modeling, the standard forms suffer from limitations that arise…

Machine Learning · Statistics 2018-07-10 Bryan Lim , Mihaela van der Schaar

We develop a Bayesian median autoregressive (BayesMAR) model for time series forecasting. The proposed method utilizes time-varying quantile regression at the median, favorably inheriting the robustness of median regression in contrast to…

Applications · Statistics 2020-12-08 Zijian Zeng , Meng Li

Time-dependent data collected in studies of Alzheimer's disease usually has missing and irregularly sampled data points. For this reason time series methods which assume regular sampling cannot be applied directly to the data without a…

Quantitative Methods · Quantitative Biology 2019-03-06 Paul Moore , Terry Lyons , John Gallacher

This paper describes a new neuroimaging analysis toolbox that allows for the modeling of nonlinear effects at the voxel level, overcoming limitations of methods based on linear models like the GLM. We illustrate its features using a…

This study presents a neural network-enhanced approach to modeling disease spread dynamics over time and space. Neural networks are used to estimate time-varying parameters, with two calibration methods explored: Approximate Bayesian…

Quantitative Methods · Quantitative Biology 2024-10-29 Randy L. Caga-anan

Alzheimer's disease is the most common neurodegenerative disease. The aim of this study is to infer structural changes in brain connectivity resulting from disease progression using cortical thickness measurements from a cohort of…

The joint modeling of longitudinal and time-to-event data is an important tool of growing popularity to gain insights into the association between a biomarker and an event process. We develop a general framework of flexible additive joint…

Clinical patient records are an example of high-dimensional data that is typically collected from disparate sources and comprises of multiple likelihoods with noisy as well as missing values. In this work, we propose an unsupervised…

Machine Learning · Statistics 2021-04-21 Siddharth Ramchandran , Miika Koskinen , Harri Lähdesmäki

Misfolded tau proteins play a critical role in the progression and pathology of Alzheimer's disease. Recent studies suggest that the spatio-temporal pattern of misfolded tau follows a reaction-diffusion type equation. However, the precise…

Machine Learning · Computer Science 2023-07-18 Zhen Zhang , Zongren Zou , Ellen Kuhl , George Em Karniadakis

Alzheimer's disease is a neurodegenerative condition that accelerates cognitive decline relative to normal aging. It is of critical scientific importance to gain a better understanding of early disease mechanisms in the brain to facilitate…

Applications · Statistics 2022-01-19 D. Andrew Brown , Christopher S. McMahan , Russell T. Shinohara , Kristin A. Linn
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