March 2023 Bayesian non-homogeneous hidden Markov model with variable selection for investigating drivers of seizure risk cycling
Emily T. Wang, Sharon Chiang, Zulfi Haneef, Vikram R. Rao, Robert Moss, Marina Vannucci
Author Affiliations +
Ann. Appl. Stat. 17(1): 333-356 (March 2023). DOI: 10.1214/22-AOAS1630

Abstract

A major issue in the clinical management of epilepsy is the unpredictability of seizures. Yet, traditional approaches to seizure forecasting and risk assessment in epilepsy rely heavily on raw seizure frequencies which are a stochastic measurement of seizure risk. We consider a Bayesian nonhomogeneous hidden Markov model for unsupervised clustering of zero-inflated seizure count data. The proposed model allows for a probabilistic estimate of the sequence of seizure risk states at the individual level. It also offers significant improvement over prior approaches by incorporating a variable selection prior for the identification of clinical covariates that drive seizure risk changes and accommodating highly granular data. For inference, we implement an efficient sampler that employs stochastic search and data augmentation techniques. We evaluate model performance on simulated seizure count data. We then demonstrate the clinical utility of the proposed model by analyzing daily seizure count data from 133 patients with Dravet syndrome collected through the Seizure TrackerTM system, a patient-reported electronic seizure diary. We report on the dynamics of seizure risk cycling, including validation of several known pharmacologic relationships. We also uncover novel findings characterizing the presence and volatility of risk states in Dravet syndrome which may directly inform counseling to reduce the unpredictability of seizures for patients with this devastating cause of epilepsy.

Funding Statement

ETW is supported by a fellowship from the Gulf Coast Consortia, on the NLM Training Program in Biomedical Informatics and Data Science T15LM007093.
SC is supported by the National Institute of Neurological Disorders and Stroke, National Institutes of Health (5R25NS070680-12).

Acknowledgments

We thank the people living with Dravet syndrome using SeizureTracker.com, who allowed their de-identified data to be used in this analysis. Data utilized in the seizure count case study was provided by Seizure Tracker™—https://seizuretracker.com/ and should be directly requested from Seizure Tracker, LLC.

The contents are solely the responsibility of the authors and do not necessarily represent the views of the NIH.

Citation

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Emily T. Wang. Sharon Chiang. Zulfi Haneef. Vikram R. Rao. Robert Moss. Marina Vannucci. "Bayesian non-homogeneous hidden Markov model with variable selection for investigating drivers of seizure risk cycling." Ann. Appl. Stat. 17 (1) 333 - 356, March 2023. https://doi.org/10.1214/22-AOAS1630

Information

Received: 1 March 2021; Revised: 1 March 2022; Published: March 2023
First available in Project Euclid: 24 January 2023

MathSciNet: MR4539034
zbMATH: 07656979
Digital Object Identifier: 10.1214/22-AOAS1630

Keywords: Bayesian inference , count data , Dravet syndrome , Epilepsy , Hidden Markov models , Markov chain Monte Carlo , seizure risk , zero-inflation

Rights: Copyright © 2023 Institute of Mathematical Statistics

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