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Most ANNs are not similar enough to biological NNs to attempt to recreate these structures.

A feed forward network is just matrix multiplication with a nonlinearity. It could, at best, be described as biologically inspired.

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Also SNNs seem to be an active field of research. Namely research center Jülich (human brain project) is conducting experiments on modeling & simulating biological neuron populations.

https://en.wikipedia.org/wiki/Spiking_neural_network

http://www.nest-simulator.org

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