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Transcript of Functional Brain Signal Processing: EEG & fMRI Lesson 1 Kaushik Majumdar Indian Statistical...
Functional Brain Signal Processing: EEG & fMRI
Lesson 1
Kaushik Majumdar
Indian Statistical Institute Bangalore Center
M.Tech. (CS), Semester III, Course B50
Brain Signal Type
Functional (EEG, MEG, PET, fMRI)
Structural (CT, MRI)
Motivation to Study EEG
Monitoring state of consciousness. Brain Computer Interface. Understanding cognitive processes. Monitoring pathological brain conditions.
Human Brain or Neocortex
http://en.wikipedia.org/wiki/Human_brain
https://eprints.usq.edu.au/19846/2/Bashar_2011_whole.pdf
Functional Organization: Brodmann’s Areas
http://en.wikipedia.org/wiki/Human_brain
http://spot.colorado.edu/~dubin/talks/brodmann/brodmann.html
Electroencephalogram (EEG) Acquisition: 10 – 20 System
http://www.ese.wustl.edu/~nehorai/research/eegmeg/EMEG-Overview.html
http://en.wikipedia.org/wiki/10-20_system_%28EEG%29
Channels by Number
Majumdar, IEEE Trans. Biomed. Eng., vol. 56(4), p. 1228 – 1235, 2009.
Multi-Channel EEG Signals
http://maxim.ece.illinois.edu/teaching/fall08/
Six Layer Cortex
Mountcastle, Brain, 120:701-722, 1997.
Cortical Basis of Scalp EEG
Baillet et al., IEEE Sig. Proc. Mag., Nov 2001, p. 16.
Head Tissue Layers
Forward Problem : Schematic Head Model
Brain
Skull
Scalp
Source
EEG Channels
Source Models
Dipole Source Model
(parametric model)
Distributed Source Model
(nonparametric model)
Dipole Source Model
Distributed Source Model
Majumdar, IEEE Trans. Biomed. Eng., vol. 56(4), p. 1228 – 1235, 2009.
Forward Calculation
Poisson’s equation in the head
pfV J )(
Kybic et al., Phys. Med. Biol., vo. 51, p. 1333 – 1346, 2006
Published Conductivity Values
Hallez et al., J. NeuroEng. Rehab., 2007, open access.
http://www.jneuroengrehab.com/content/4/1/46
6 Parameter Dipole Geometry
Hallez et al., J. NeuroEng. Rehab., 2007, open access. http://www.jneuroengrehab.com/content/4/1/46
Potential at any Single Scalp Electrode Due to All Dipoles
r is the position vector of the scalp electrode
rdip - i is the position vector of the ith dipole
di is the dipole moment of the ith dipole
Potential at All Scalp Electrodes
For N Electrodes, p Dipoles, T Discrete Time Points
Generalization
V = GD + n
G is gain matrix, n is additive noise.
EEG Gain Matrix Calculation
For detail of potential calculations see Geselowitz, Biophysical J., 7, 1967, 1-11.
Gain Matrix : Elaboration
m
nmnnn
m
m
n
J
J
J
J
BBBB
BBBB
BBBB
V
V
V
.
.
.
.
.
.
.
.
.
.
.
...........
.
.
...........
.
.
3
2
1
321
2232221
1131211
2
1
Nested Head Tissues
Hallez et al., J. NeuroEng. Rehab., 2007, open access. http://www.jneuroengrehab.com/content/4/1/46
BRAIN SKULL
SCALP
Finite Elements Method
Hallez et al., J. NeuroEng. Rehab., 2007, open access. http://www.jneuroengrehab.com/content/4/1/46
Home Work: Loading EEG Data Files in Computer RAM and Familiarization
EEGLAB (needs MATLAB) available at http://sccn.ucsd.edu/eeglab/
Sample EEG Data: http://sccn.ucsd.edu/eeglab/data/headit.html
Must Reading
Baillet, Mosher & Leahy, “Electromagnetic brain mapping,” IEEE Sig. Proc. Mag., p. 14 – 30, Nov 2001.
Hallez et al., “Review on solving the forward problem in EEG source analysis,” J. Neuroeng. Rehab., open access, available at http://www.jneuroengrehab.com/content/4/1/46
THANK YOU
This presentation is available at http://www.isibang.ac.in/~kaushik