Is There Something More Complex Than Human Neural Networks?

In your recent book, i'd like to focus on the artificial intelligence aspect of things. And not just artificial intelligence, but natural intelligence too. Compared to artificial neral networks, which we use for machine learning to day, is there something fundamentally more complex, mysterious, even magical, about the biological neural networks versus the ones we have been starting to use over the past 60 years. I think there's overlap, but i think there are me soe big differences that, in reality, not all that deep.