Analysis reveals the structure of connectivity implied by various features of s…

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Furthermore, the length scale ofconnectivity (standard deviation 125 μm for a Gaussian spatial profile, 12) is significantly broader than the spatial radius of nearby excitation (≈70 μm, 1), and an even shorter radius of excitation (≈35 μm) is seen for multi-cell perturbations, which could not be explained by a model with a Gaussian spatial profile for each connection ().

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Analysis reveals the structure of connectivity implied by various features of single-cell perturbation responses, such as the surprisingly narrow spatial radius of nearby excitation beyond which inhibition dominates, the number of transitions between mean excitation and inhibition thereafter, and the dependence of these responses on feature preferences.

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What are the principles that govern the responses of cortical networks to their inputs and the emergence of these responses from recurrent connectivity? Recent experiments have probed these questions by measuring cortical responses to two-photon optogenetic perturbations of single cells in the mouse primary visual cortex. A robust theoretical framework is needed to determine the implications of these responses for cortical recurrence. Here we propose a novel analytical approach: a formulation of...