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Nonlinear Bayesian Estimation of BOLD Signal under Non-Gaussian Noise
Joint Authors
Khan, Ali Fahim
Younis, Muhammad Shahzad
Bajwa, Khalid Bashir
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-01-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Modeling the blood oxygenation level dependent (BOLD) signal has been a subject of study for over a decade in the neuroimaging community.
Inspired from fluid dynamics, the hemodynamic model provides a plausible yet convincing interpretation of the BOLD signal by amalgamating effects of dynamic physiological changes in blood oxygenation, cerebral blood flow and volume.
The nonautonomous, nonlinear set of differential equations of the hemodynamic model constitutes the process model while the weighted nonlinear sum of the physiological variables forms the measurement model.
Plagued by various noise sources, the time series fMRI measurement data is mostly assumed to be affected by additive Gaussian noise.
Though more feasible, the assumption may cause the designed filter to perform poorly if made to work under non-Gaussian environment.
In this paper, we present a data assimilation scheme that assumes additive non-Gaussian noise, namely, the e -mixture noise, affecting the measurements.
The proposed filter MAGSF and the celebrated EKF are put to test by performing joint optimal Bayesian filtering to estimate both the states and parameters governing the hemodynamic model under non-Gaussian environment.
Analyses using both the synthetic and real data reveal superior performance of the MAGSF as compared to EKF.
American Psychological Association (APA)
Khan, Ali Fahim& Younis, Muhammad Shahzad& Bajwa, Khalid Bashir. 2015. Nonlinear Bayesian Estimation of BOLD Signal under Non-Gaussian Noise. Computational and Mathematical Methods in Medicine،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1057885
Modern Language Association (MLA)
Khan, Ali Fahim…[et al.]. Nonlinear Bayesian Estimation of BOLD Signal under Non-Gaussian Noise. Computational and Mathematical Methods in Medicine No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1057885
American Medical Association (AMA)
Khan, Ali Fahim& Younis, Muhammad Shahzad& Bajwa, Khalid Bashir. Nonlinear Bayesian Estimation of BOLD Signal under Non-Gaussian Noise. Computational and Mathematical Methods in Medicine. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1057885
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1057885