Your brain is not a neural net.
If we take the phrase neural network to mean, "a series of deeply and widely interconnected elements which assist or inhibit the transmission of signals to one another, activated by the inputs exceeding a threshold," then I think there's a pretty good amount of overlap.
I understand there's a temporal signaling model (pulses at varying rates, not steady state signals) and stochastic information (like random firing and a bunch of noise), but once we abstract out the axons, dendrites, and neurochemicals, is there another piece of functional equipment which drastically effects things? How does our simplified view that small, individually stupid pieces, acting in concert to produce complex behavior differ from the real brain?