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Bioelectric Source Model and Brain Imaging Dezhong Yao School of Life Sci & Tech,UESTC
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Special Thanks to Prof Chen for giving the chance of the talk!
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1. Bioelectromagnetic Source models 2. 2D Imaging of brain activities 3. 3D Imaging of brain activities 4. EEG reference problem CONTENT
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(2) the Extracellular Current contributes directly to the scalp (EEG) Bioelectric Source (3) the Extracellular Current (EEG) is due to the intracellular current (source) (1)For a live neuron, there are two currents Conclusion: the source of EEG is the intracellular current
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(1) MEG is generated by intracellular current Biomagnetic Source (2) The source of both MEG and EEG is the intracellular current
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(1) The bioelectromagnetic source is the intracellular current 1.Bioelectromagnetic Source models What is the bridge from current to charge or dipole model? (2) The conventional source model is such as charge 、 dipole 、 quadruple...
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Bridge 1: the physics current is due to charge moving dipole is consisted of charges … This bridge is complex, we do not need to take care of it. 1.Bioelectromagnetic Source models
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1.Bioelectric Source models Bridge 2: performance and mathematics if a charge/dipole produces the same potential (EEG) of the actual current ---> charge/dipole is an equivalent source model of the current
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1.Bioelectric Source models Equivalent charge model (current source density)
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1.Bioelectric Source models Equivalent dipole model (Intracellular current) By using Gauss Theorem
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1.Bioelectric Source models Equivalent “ potential ” model
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1.Bioelectric Source models (A) Equivalent charge model extraqcellular current (EEG) Neurophysiology of the equivalent model a negative current source density (sink-negative charge ) a positive current source density (source-positive charge).
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1.Bioelectric Source models (B) Equivalent dipole model A paired “ negative charge- sink ” and “ positive charge- source ” ---> a dipole model
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1.Bioelectric Source models (1) Extracellular Current must flow in a regular way -- enough S/N -- -- to be recoded on the scalp surface (2) equivalent Source model - Macroscale collectively activities -not the microscale intracellular current Equivalent source model in practice
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Summary of Source models three kinds of Source models each of them is an equivalent representation of the actual neuron “ assembly ”
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2. 2D Imaging of brain activities 1) Image processing - Laplacian (deblurring the skull smearing effect) 2) Electric field analysis Cortical potential reconstruction Layer stripping(Equivalent dipole layer) Layer replacing(Equivalent charge layer) Two approaches
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2.2D Imaging of brain activities h-radius of scalp, c-radius of the head current source density(CSD) For a spherical head model (Yao, 2002) Laplacian --- try to find the current emerge or disappear in the scalp layer
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2.2D Imaging of brain activities ( 1 ) Laplacian
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( 2) Electric field analysis 2.2D Imaging of brain activities 1.Cortical potential reconstruction (Sidman et al 1989;...) 2.source potential in infinite medium (Yao 2001) 3.Layer stripping(Equivalent dipole layer) (Freeman 1980, He Yao etal 2002) 4.Layer replacing(Equivalent charge layer) (Yao 2003)
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( 2) Electric field analysis 2.2D Imaging of brain activities The characteristics of the spatial spectra of the above four imaging approaches
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Equivalent charge layer approach -compared with Equivalent dipole layer (Yao 2003) 2.2D Imaging of brain activities Forward (Three dipoles)
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2.2D Imaging of brain activities Inverse
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2.2D Imaging of brain activities Forward (four charges)
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2.2D Imaging of brain activities Inverse
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2.2D Imaging of brain activities Application
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The source models may be: Dipole -- Potential -- charge 3.3D Imaging of brain activities
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VEPsEC ED A ED X ED Y ED Z Real ERP result 1) Charge Loreta ( He,Yao and Lian, IEEE TBME, 2002 ) Charge Vs Dipole model: lower computation complexity, and may image both charges and dipoles 3.3D Imaging of brain activities
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2) A Self-Coherence Enhancement Algorithm ( Yao et al 2001) 3.3D Imaging of brain activities
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1) A Self-Coherence Enhancement Algorithm ( Yao et al 2001) 3.3D Imaging of brain activities Step 1 Left: Actual source Right: LORETA
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1) A Self-Coherence Enhancement Algorithm ( Yao et al 2001) 3.3D Imaging of brain activities Two unknown parameters: K and alfa Step 2
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1) A Self-Coherence Enhancement Algorithm ( Yao et al 2001) 3.3D Imaging of brain activities Comparing the NBIs of the solution and the actual source to chose a proper K Actual neuronal source distribution is of neurophysiological smoothness. By defining a NBI (normalized blurring index ) Step 3 Determine alfa Determine K
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1) A Self-Coherence Enhancement Algorithm ( Yao et al 2001) 3.3D Imaging of brain activities Step 4
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Reference is the oldest problem of EEG There is not a point that its potential is zero all the time (Geselowitz, 1998 ) A unitary reference is the best and ideal case 4. EEG Reference problem EEG recordings
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4. EEG Reference problem ( Yao, Physiol Meas, 2001 ) Temporal waveform Real signalAverageREST Method: Average ref:Va=GaX Inf ref V=GX
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4. EEG Reference problem Change of Spectra Real signalAverageREST The reference may have a large effect on the spectra
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EEG/ ERP Lab at UESTC
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Thanks
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