A joint model for multiple dynamic processes and clinical endpoints: application to Alzheimer's disease
C\'ecile Proust-Lima, Viviane Philipps, Jean-Fran\c{c}ois Dartigues

TL;DR
This paper introduces a novel joint modeling approach for multiple correlated longitudinal processes and clinical endpoints, specifically applied to Alzheimer's disease, capturing complex diagnosis criteria and competing risks.
Contribution
The paper presents a new joint model that integrates multiple latent processes and clinical endpoints, accommodating non-Gaussian markers and complex diagnosis thresholds.
Findings
Model effectively describes Alzheimer's disease progression.
Estimation procedure validated through simulations.
Application to cohort data reveals insights into dementia risk.
Abstract
As other neurodegenerative diseases, Alzheimer's disease, the most frequent dementia in the elderly, is characterized by multiple progressive impairments in the brain structure and in clinical functions such as cognitive functioning and functional disability. Until recently, these components were mostly studied independently since no joint model for multivariate longitudinal data and time to event was available in the statistical community. Yet, these components are fundamentally inter-related in the degradation process towards dementia and should be analyzed together. We thus propose a joint model to simultaneously describe the dynamics of multiple correlated components. Each component, defined as a latent process, is measured by one or several continuous markers (not necessarily Gaussian). Rather than considering the associated time to diagnosis as in standard joint models, we assume…
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