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Effective Connectivity. Lee Harrison. Wellcome Department of Imaging Neuroscience, University College London, UK. SPM Short Course, May 2003. Outline. Motivation & concepts Models of effective connectivity An example. Outline. Motivation & concepts - PowerPoint PPT Presentation
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Effective ConnectivityEffective Connectivity
Lee Harrison
Wellcome Department of Imaging Neuroscience, University College London, UK
SPM Short Course, May 2003
Q. In what areas does the ‘motion’ factor change activity ?
Univariate Analysis
Functional Specialization
Functional IntegrationTo estimate and make inferences about
(1)the influence that one neural system exerts over another
(2) how this is affected by the experimental context
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Concepts
Brain as a physical system Evoked response to input
System identificationParameterised models
In terms of connectivity
Classification of models Black box & hidden states
Concepts (continued)
Linear vs nonlinear systems Balance mathematical tractability and biological plausibility
Generalization of General Linear Model Bilinear models
Inputs Perturbing & contextual Stochastic & deterministic
• use of design matrix
Experimental design 22 factorial design
Concepts (continued)
Linear vs nonlinear systems Balance mathematical tractability and biological plausibility
Generalization of General Linear Model Bilinear models
Inputs Perturbing & contextual Stochastic & deterministic
• use of design matrix
Experimental design 22 factorial design
Bilinear Dynamics
Psycho-physiological interaction
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Concepts (continued)
Linear vs nonlinear systems Balance mathematical tractability and biological plausibility
Generalization of General Linear Model Bilinear models
Inputs Perturbing & contextual Stochastic & deterministic
• use of design matrix
Experimental design 22 factorial design
1) Standard Analysis of fMRI Data
2) Statistical Parametric Maps
3) Anatomical model
4) Connectivity model
5) Estimation & inference of model parameters
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Practical stepsDesign matrix
SPMs
Outline
Motivation & conceptsModels of effective connectivity
Linear regression Convolution State-Space
An example
Outline
Motivation & conceptsModels of effective connectivity
Linear regression Convolution State-Space
An example
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Outline
Motivation & conceptsModels of effective connectivity
Linear regression Convolution State-Space
An example
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Outline
Motivation & conceptsModels of effective connectivity
Linear regression Convolution State-Space
An example
Outline
Motivation & conceptsModels of effective connectivity
Linear regression Convolution State-Space
• Dynamic Causal Modelling
An example
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Hemodynamic model
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The DCM and its bilinear approximation
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neuronalchanges
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Activity-dependent signal
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State Equations
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Constraints on•Connections
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Models of•Hemodynamics in a single region
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Bayesian estimation
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Overview
1) Standard Analysis of fMRI Data
2) Statistical Parametric Maps
3) Anatomical model
4) Connectivity model
5) Estimation & inference of model parameters
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Z4
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Practical stepsDesign matrix
SPMs
Outline
Motivation & conceptsModels of effective connectivity
Linear regression Convolution State-Space
An example DCM for visual motion processing
A fMRI study of attentional modulation
Stimuli 250 radially moving dots at 4.7 degrees/s
Pre-Scanning
5 x 30s trials with 5 speed changes (reducing to 1%)
Task - detect change in radial velocity
Scanning (no speed changes)
6 normal subjects, 4 100 scan sessions;
each session comprising 10 scans of 4 different condition
F A F N F A F N S .................
F - fixation point only
A - motion stimuli with attention (detect changes)
N - motion stimuli without attention
S - no motion
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of motion information to
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1) Hierarchical architecture