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Effective Connectivity Lee Harrison Wellcome Department of Imaging Neuroscience, University College London, UK SPM Short Course, May 2003

Effective Connectivity

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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

Outline

Motivation & conceptsModels of effective connectivityAn example

Outline

Motivation & conceptsModels of effective connectivityAn example

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

Z2

Z4

Z3

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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

Model of Neuronal Activity

),( uzfz

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Stimuliu1

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Nonlinear,systems-levelmodel

Bilinear Dynamics

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Psycho-physiological interaction

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Bilinear Dynamics

Psycho-physiological interaction

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Bilinear Dynamics: Positive transients

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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

Outline

Motivation & conceptsModels of effective connectivityAn example

1) Standard Analysis of fMRI Data

2) Statistical Parametric Maps

3) Anatomical model

4) Connectivity model

5) Estimation & inference of model parameters

Z2

Z4

Z3

Z5

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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Structural Equation Modelling

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Inference in SEMs

Outline

Motivation & conceptsModels of effective connectivity

Linear regression Convolution State-Space

An example

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y(t)

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Bilinear Convolution Model

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

yy

y

Hemodynamic model

},,{ CBA

The DCM and its bilinear approximation

Inputu(t)

activityz1(t)

activityz3(t)

activityz2(t)

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The bilinear model

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neuronalchanges

intrinsicconnectivity

inducedresponse

inducedconnectivity

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signal BOLD

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The hemodynamic model

Output function: a mixture of intra- and extra-vascular signal

λ(v,q)y(t)

Balloon component

The rate of change of volume

v The change in deoxyhemoglobin

q

Flow component

Activity-dependent signal

s Flow inducing signal

f

State Equations

y

)(tz

Constraints on•Connections

•Hemodynamic parameters

Models of•Hemodynamics in a single region

•Neuronal interactions

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

Z2

Z4

Z3

Z5

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

Buchel et al 1999

V5+

PPC

30

V1 IFG

V5

SPC

Motion

Photic

Attention

.92

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3) Attentional modulation of

prefrontal connections

That is sufficient to explain regionally specific attentional

effects2) Segregation

of motion information to

V5ju ju ju

1) Hierarchical architecture

Summary

Studies of functional integration look at

experimentally induced changes in connectivityNeurodynamics and hemodynamics

DCM

Inferences about large-scale neuronal networks