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fMRI: Biological Basis and Experiment Design Lecture 13: BOLD • • • • Neurons per voxel Neural signaling Neural/vascular link? HRF – linearity 1 light year = 5,913,000,000,000 miles? BOLD relies on T2*-weighted images Signal is low where T2* is short. Signal will increase where blood flow increases. Predicting BOLD signal in a single voxel Neural activity = input + local computation + output Cortico-cortical cxns Intrinsic cxns astrocyte Excitatory neuron Inhibitory neuron Output: spikes Thalamic input: spikes Energy budgets Lennie (2003) “The Cost of Cortical Computation”, Current Biology 13:493. Attwell and Laughlin (2001) “An energy budget for signaling in the grey matter of the brain,” J. Cer. Blood Flow & Metab. 21:1133. • Stimulus • Input • Local computation Molecules of ATP Predicting BOLD signal, Part I: neural activity • Output __________________ • Total time (ms) • Total Neural Activity • Oxygen extraction fraction Molecules of ATP BOLD signal, Part II: Hemodynamic response • CBF time (sec) (ms) • CBV _______________ • BOLD Cannonical HIRF Key assumptions of convolution model • Linearity: Homogeneity + Additivity = Superposition • Shift-invariance: no refractory period Modeling BOLD with convolution