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In a mathematical model of interacting biological organisms, where external interventions may alter behavior over time, traditional models that assume fixed parameters usually do not capture the evolving dynamics. In oncology, this is…

Machine Learning · Computer Science 2025-12-18 Kayode Olumoyin , Lamees El Naqa , Katarzyna Rejniak

Traditional survival analysis methods often struggle with complex time-dependent data,failing to capture and interpret dynamic characteristics adequately.This study aims to evaluate the performance of three long-sequence…

Machine Learning · Computer Science 2024-07-22 Runquan Zhang , Jiawen Jiang , Xiaoping Shi

State-switching models such as hidden Markov models or Markov-switching regression models are routinely applied to analyse sequences of observations that are driven by underlying non-observable states. Coupled state-switching models extend…

Multi-state models provide an extension of the usual survival/event-history analysis setting. In the medical domain, multi-state models give the possibility of further investigating intermediate events such as relapse and remission. In this…

Methodology · Statistics 2021-06-24 D. Manevski , H. Putter , M. Pohar Perme , E. F. Bonneville , J. Schetelig , L. C. de Wreede

In various data situations joint models are an efficient tool to analyze relationships between time dependent covariates and event times or to correct for event-dependent dropout occurring in regression analysis. Joint modeling connects a…

Methodology · Statistics 2018-10-25 Colin Griesbach , Andreas Mayr , Elisabeth Waldmann

Suppression of disability progression is an important goal in the treatment of multiple sclerosis (MS). Randomized clinical trials in MS frequently use the time to the first confirmed disability progression (CDP) on the ordinal Expanded…

Applications · Statistics 2021-11-04 Alexandra Būhler

Excess hazard modeling is one of the main tools in population-based cancer survival research. Indeed, this setting allows for direct modeling of the survival due to cancer even in the absence of reliable information on the cause of death,…

Methodology · Statistics 2022-04-12 A. Eletti , G. Marra , M. Quaresma , R. Radice , F. J. Rubio

Predicting cancer-associated clinical events is challenging in oncology. In Multiple Myeloma (MM), a cancer of plasma cells, disease progression is determined by changes in biomarkers, such as serum concentration of the paraprotein secreted…

We compare two multi-state modelling frameworks that can be used to represent dates of events following hospital admission for people infected during an epidemic. The methods are applied to data from people admitted to hospital with…

Severity assessment of Parkinson's disease (PD) using wearable sensors offers an effective, objective basis for clinical management. However, general-purpose time series models often lack pathological specificity in feature extraction,…

Machine Learning · Computer Science 2025-10-14 Weiming Zhao , Xulong Wang , Jun Qi , Yun Yang , Po Yang

Multiple instance learning is an ideal mode of analysis for histopathology data, where vast whole slide images are typically annotated with a single global label. In such cases, a whole slide image is modelled as a collection of tissue…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Leo Fillioux , Joseph Boyd , Maria Vakalopoulou , Paul-Henry Cournède , Stergios Christodoulidis

Multistate Markov models are a canonical parametric approach for data modeling of observed or latent stochastic processes supported on a finite state space. Continuous-time Markov processes describe data that are observed irregularly over…

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

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

In longitudinal studies, time-varying covariates are often endogenous, meaning their values depend on both their own history and that of the outcome variable. This violates key assumptions of Generalized Linear Mixed Effects Models (GLMMs),…

Clinical measurements, such as body temperature, are often collected over time to monitor an individual's underlying health condition. These measurements exhibit complex temporal dynamics, necessitating sophisticated statistical models to…

Methodology · Statistics 2024-12-17 Xiaoran Ma , Wensheng Guo , Peter Kotanko , Yuedong Wang

In the present paper, progression of non-alcoholic fatty liver disease (NAFLD) process is modeled by Continuous time Markov chains (CTMC) with 4 states .The transition intensities among the states are estimated using maximum likelihood…

Applications · Statistics 2021-11-18 Iman Mohammed Attia Abd-Elkhalik Abo-Elreesh

Predicting patient survival probabilities based on observed covariates is an important assessment in clinical practice. These patient-specific covariates are often measured over multiple follow-up appointments. It is then of interest to…

Methodology · Statistics 2021-11-11 Annabel L. Davies , Anthony C. C. Coolen , Tobias Galla

Chronic Kidney Disease (CKD) represents a significant global health challenge, characterized by the progressive decline in renal function, leading to the accumulation of waste products and disruptions in fluid balance within the body. Given…

Effectively modeling irregularly sampled longitudinal data is essential for understanding disease progression and improving risk prediction. We propose a two-view mixture model that integrates static baseline covariates and longitudinal…

Quantitative Methods · Quantitative Biology 2026-04-03 Shen Jia , David Selby , Mark A Little , Tin Lok James Ng