Will Penny

Wellcome Centre for Neuroimaging at UCL

Methods Physics

Attention

Language Memory

Emotion

Vision fMRI MEG

TheoreticalNeurobiology

Statistical Parametric Mapping (SPM)

RealignmentRealignment SmoothingSmoothing

NormalisationNormalisation

General linear modelGeneral linear model

Statistical parametric mapStatistical parametric mapImage time-seriesImage time-series

Parameter estimatesParameter estimates

Design matrixDesign matrix

TemplateTemplate

KernelKernel

Random Random Field TheoryField Theory

p <0.05p <0.05

StatisticalStatisticalinferenceinference

),,( uxFx Neural state equation:

Electric/magneticforward model:

neural activityEEGMEGLFP

(linear)

Neural model:1 state variable per regionbilinear state equationno propagation delays

Neural model:8 state variables per region

nonlinear state equationpropagation delays

fMRIfMRI MEGMEG

inputs

Hemodynamicforward model:neural activityBOLD(nonlinear)

Dynamic Models of Brain Interactions

Dynamical Neural Network Model for fMRI

1 11 12 1 1 12

2 21 22 2 21 2 2

0 0

0 0

z a a z z ucu

z a a z b z u

u2

u1

z1

z2

u2

z1

z2

u1

a11

a22

c

a1

2

a21

b21

Opportunities

UCL CoMPLEXComputer ScienceEngineeringPhysicsStatistics