Figure 4.

The canonical microcircuit. The equations on the left of this schematic describe the dynamics of the generative model that underwrites the dynamic causal modeling in this paper. The x vectors represent population-specific voltage (odd subscripts) and conductance (even subscripts). Each element of the x vectors represents a distinct cortical source. The notation a ○ b means the element-wise product of a and b. The matrix A determines extrinsic (between-source) connectivity (here illustrated as connections between a lower source i and a higher source i+1), whereas G determines the intrinsic (within-source) connectivity. Subscripts for these matrices indicate mappings between specific cell populations. For example, A₁ describes ascending connections from superficial pyramidal cells (source i) to spiny stellate cells (source i+1), whereas A₃ describes descending connections from deep pyramidal cells (source i+1) to superficial pyramidal cells (source i). Experimental inputs, in our case, the cancellation of the target on fixation, are specified by u. Right, The neuronal message passing implied by these equations. Red arrows indicate excitatory connections and blue inhibitory. Superficial pyramidal cells give rise to ascending connections that target spiny stellate and deep pyramidal cells in a higher cortical source. Descending connections arise from deep pyramidal cells that target superficial pyramidal cells and inhibitory interneurons.