Topic: nonlinear spatial models

Two-photon holographic optogenetic experiments have revealed that excitatory perturbations induce excitation surrounding the perturbed cell on the order of tens of microns, after which the response is suppressive, forming an inhibitory halo. Here we investigated, through a battery of analytical and inference methods, how the strength and spread of the connections between neurons both in cortical space and in feature (preferred orientation) space define the response of the circuit to few-cells perturbations. First, we obtain two analytical expressions, one exact and the other approximate, for t