Nonlinear estimation of the BOLD signal

NeuroImage
Leigh A JohnstonGary F Egan

Abstract

Signal variations in functional Magnetic Resonance Imaging experiments essentially reflect the vascular system response to increased demand for oxygen caused by neuronal activity, termed the blood oxygenation level dependent (BOLD) effect. The most comprehensive model to date of the BOLD signal is formulated as a mixed continuous-discrete-time system of nonlinear stochastic differential equations. Previous approaches to the analysis of this system have been based on linearised approximations of the dynamics, which are limited in their ability to capture the inherent nonlinearities in the physiological system. In this paper we present a nonlinear filtering method for simultaneous estimation of the hidden physiological states and the system parameters, based on an iterative coordinate descent framework. State estimates of the cerebral blood flow, cerebral blood volume and deoxyhaemoglobin content are determined using a particle filter, demonstrated via simulation to be accurate, robust and efficient in comparison to linearisation-based techniques. The adaptive state and parameter estimation algorithm generates physiologically reasonable parameter estimates for experimental fMRI data. It is anticipated that signal processing techn...Continue Reading

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Citations

May 10, 2012·Brain Topography·Zhenghui HuPengcheng Shi
Jun 5, 2010·Nonlinear Biomedical Physics·Arvid Lundervold
Jul 23, 2014·PloS One·Marijke Welvaert, Yves Rosseel
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Mar 31, 2010·IEEE Transactions on Medical Imaging·Thomas VincentPhilippe Ciuciu
Aug 28, 2009·IEEE Transactions on Medical Imaging·Wei LiaoHuafu Chen
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Mar 15, 2011·NeuroImage·Martin HavlicekVince D Calhoun
Jun 25, 2015·Frontiers in Computational Neuroscience·Paulo N RosaCarlos J Silvestre
Feb 6, 2010·NeuroImage·Daniele MarinazzoSebastiano Stramaglia
Feb 19, 2015·Computational and Mathematical Methods in Medicine·Ali Fahim KhanKhalid Bashir Bajwa
Aug 21, 2013·Physical Review Letters·Douglas ZhouDavid Cai
Feb 23, 2017·International Journal for Numerical Methods in Biomedical Engineering·Brian ZambriTaous-Meriem Laleg-Kirati
Oct 28, 2016·Journal of Neural Engineering·Pierpaolo CroceCosimo Del Gratta

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