A Bayesian General Linear Modeling Approach to Cortical Surface fMRI Data Analysis

• Published in: Journal of the American Statistical Association Vol. 115; no. 530; pp. 501 - 520
• Main Authors: Mejia, Amanda F., Yue, Yu (Ryan), Bolin, David, Lindgren, Finn, Lindquist, Martin A.
• Format: Journal Article
• Language: English
• Published: United States Taylor & Francis 02.04.2020; Taylor & Francis Ltd
• Subjects: Activation; Bayesian analysis; Bayesian smoothing; Bayesian theory; Brain; Brain imaging; Computer simulation; Data analysis; extent; Functional magnetic resonance imaging; humans; Integrated nested Laplace approximation; Linear analysis; linear models; Magnetic resonance imaging; magnetism; Matematik; Mathematical sciences; Mathematics; Popularity; probability; Regression analysis; Simulation; Spatial statistics; Statistical methods; statistical-analysis; Statistics; Stochastic partial differential equation; Visualization; brain imaging; spatial statistics; integrated nested Laplace approximation; stochastic partial differential equation; Bayesian smoothing
• ISSN: 0162-1459; 1537-274X; 1537-274X
• DOI: 10.1080/01621459.2019.1611582

Cortical surface functional magnetic resonance imaging (cs-fMRI) has recently grown in popularity versus traditional volumetric fMRI. In addition to offering better whole-brain visualization, dimension reduction, removal of extraneous tissue types, and improved alignment of cortical areas across subjects, it is also more compatible with common assumptions of Bayesian spatial models. However, as no spatial Bayesian model has been proposed for cs-fMRI data, most analyses continue to employ the classical general linear model (GLM), a "massive univariate" approach. Here, we propose a spatial Bayesian GLM for cs-fMRI, which employs a class of sophisticated spatial processes to model latent activation fields. We make several advances compared with existing spatial Bayesian models for volumetric fMRI. First, we use integrated nested Laplacian approximations, a highly accurate and efficient Bayesian computation technique, rather than variational Bayes. To identify regions of activation, we utilize an excursions set method based on the joint posterior distribution of the latent fields, rather than the marginal distribution at each location. Finally, we propose the first multi-subject spatial Bayesian modeling approach, which addresses a major gap in the existing literature. The methods are very computationally advantageous and are validated through simulation studies and two task fMRI studies from the Human Connectome Project. Supplementary materials for this article, including a standardized description of the materials available for reproducing the work, are available as an online supplement.