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I just presume that a biological brain is a network of neurons with connections between them, including feedback connections, at least this is what we see under the microscope. In terms of math, this structure corresponds to a cyclic directed computational graph - this only fact makes it Turing-complete.

Currently it is just a highly plausible conjecture, not a formal proof. However, I think I can prove it. But should I?

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We don't know how the brain works. Neuron activity is one aspect, and clearly an important one, but it's not everything.

And even if the connectome can be modeled as a graph, the dynamics on the graph could be totally alien to us. It might be computable by a Turing machine. But it also might involve some not computable process we can't imagine. Perhaps it involves fundamentally unknown physics. (I consider the last option to be quite likely. I think rather few actually entertain the idea that physics as we understand it today could give rise to consciousness. But here we are.)

I may be misremembering but aren't neurons one-way connections with no feedback?

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