Artificial neural systems and nervous graph theoretical analysis rely upon the standpoint that the neural code is endowed in logic circuits, e.g., spatio-temporal sequences of ON/OFF spiking neurons. However, this assumption does not fully explain complex brain functions. Here we show how nervous activity, other than logic circuits, could instead depend on topological transformations and symmetry constraints occurring at the micro-level of the cortical microcolumn, e.g., the basic embryological, anatomical and functional unit of the brain. Tubular microcolumns can be flattened in guise of a fullerene-like two-dimensional lattices, equipped with about 80 nodes standing for pyramidal neurons, where neural computations take place. We show how the countless possible combinations of activated neurons embedded in the lattice resemble a barcode. Every different assembly of firing neurons might stand for diverse neural codes, each one responsible for single mental activities. A two-dimensional fullerene-like lattice not just simulates the real microcolumn’s microcircuitry, but also allows us to build an artificial network model that, because grounded just on simple topological changes corresponding to pyramidal neuronal activation, is equipped with robustness, plasticity and fastness.
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