A Bayesian Approach to Multistate Hidden Markov Models

Application to Dementia Progression

Jonathan P. Williams, Curtis Storlie, Terry M Therneau, Clifford R.Jack Jr, Jan Hannig

Research output: Contribution to journalArticle

Abstract

People are living longer than ever before, and with this arises new complications and challenges for humanity. Among the most pressing of these challenges is of understanding the role of aging in the development of dementia. This article is motivated by the Mayo Clinic Study of Aging data for 4742 subjects since 2004, and how it can be used to draw inference on the role of aging in the development of dementia. We construct a hidden Markov model (HMM) to represent progression of dementia from states associated with the buildup of amyloid plaque in the brain, and the loss of cortical thickness. A hierarchical Bayesian approach is taken to estimate the parameters of the HMM with a truly time-inhomogeneous infinitesimal generator matrix, and response functions of the continuous-valued biomarker measurements are cut-point agnostic. A Bayesian approach with these features could be useful in many disease progression models. Additionally, an approach is illustrated for correcting a common bias in delayed enrollment studies, in which some or all subjects are not observed at baseline. Standard software is incapable of accounting for this critical feature, so code to perform the estimation of the model described below is made available online. Code submitted with this article was checked by an Associate Editor for Reproducibility and is available as an online supplement.

Original languageEnglish (US)
JournalJournal of the American Statistical Association
DOIs
StatePublished - Jan 1 2019

Fingerprint

Dementia
Multi-state
Progression
Bayesian Approach
Markov Model
Infinitesimal Generator
Reproducibility
Biomarkers
Matrix Function
Response Function
Complications
Baseline
Software
Model
Estimate
Bayesian approach
Hidden Markov model

Keywords

  • Alzheimer’s disease
  • Death bias
  • Hidden Markov model
  • Hierarchical Bayesian modeling
  • Population study

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

A Bayesian Approach to Multistate Hidden Markov Models : Application to Dementia Progression. / Williams, Jonathan P.; Storlie, Curtis; Therneau, Terry M; Jr, Clifford R.Jack; Hannig, Jan.

In: Journal of the American Statistical Association, 01.01.2019.

Research output: Contribution to journalArticle

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