# Flexible regression models for functional neuroimaging

Mukherjee, Kathakali Ghosh (2016) Flexible regression models for functional neuroimaging. PhD thesis, University of Glasgow.

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## Abstract

Current practice for analysing functional neuroimaging data is to average the brain signals recorded at multiple sensors or channels on the scalp over time across hundreds of trials or replicates to eliminate noise and enhance the underlying signal of interest. These studies recording brain signals non-invasively using functional neuroimaging techniques such as electroencephalography (EEG) and magnetoencephalography (MEG) generate complex, high dimensional and noisy data for many subjects at a number of replicates. Single replicate (or single trial) analysis of neuroimaging data have gained focus as they are advantageous to study the features of the signals at each replicate without averaging out important features in the data that the current methods employ. The research here is conducted to systematically develop flexible regression mixed models for single trial analysis of specific brain activities using examples from EEG and MEG to illustrate the models. This thesis follows three specific themes: i) artefact correction to estimate the `brain' signal which is of interest, ii) characterisation of the signals to reduce their dimensions, and iii) model fitting for single trials after accounting for variations between subjects and within subjects (between replicates). The models are developed to establish evidence of two specific neurological phenomena - entrainment of brain signals to an $\alpha$ band of frequencies (8-12Hz) and dipolar brain activation in the same $\alpha$ frequency band in an EEG experiment and a MEG study, respectively.

Item Type: Thesis (PhD) Doctoral functional brain imaging, EEG, MEG, kernel smoothing, p-splines, regression models, mixed models, repeated measures, functional data. Q Science > Q Science (General) College of Science and Engineering > School of Mathematics and Statistics > Statistics Bowman, Prof. Adrian W. and Miller, Dr. Claire 2016 Dr. Kathakali Ghosh Mukherjee glathesis:2016-7286 Copyright of this thesis is held by the author. 17 May 2016 12:19 14 Jun 2016 12:39 http://theses.gla.ac.uk/id/eprint/7286