The main issue is that we're lacking one of the four fundamental circuit components: the memristor [0].
If we had a simple, throw it in a box for five years, stable memristor, we'd have everything we'd need for brain modeling. Being as a memristor is effectively a synapse.
With that, we would want to do everything in the analog domain anyways.
[0] the other three are the resistor, the capacitor, and the inductor.
A quick Google search will find thousands of articles.
It was possible to buy memristor storage devices, but they weren't sufficiently competitive with ordinary flash memory and I believe they're relegated to niche applications such as high erase counts.
I've been googling for a while on these, it's the first I've heard of it. Do you have a link at all? Not trying to troll here, I really am genuinely interested.