Fwiw nothing with outside influence is automata as the true randomness from quantum phenomena propagates. Eg. If you take in real world visual input to a system that from that point on is deterministic the output of that system is now non-deterministic. Similar to how Shrodinger talked about the macro scale cat being alive and dead at the same time. So the arguments that the neurons in the brain are deterministic or…
As far as we've been able to determine, almost all macroscopic objects can be behaviorally described in terms of classical physics, and this includes neurons. Even in rare cases where quantum effects are seen, such as photosynthesis, or radioactive decay, it's extremely localized. The fact that a plant's efficiency of conversion of light to chemical energy appears to use quantum effects doesn't affect the rest of the…
It turns out that -innocent, simple looking- finite state deterministic automata can actually be less predictable than the non-deterministic kind. (and it can get pretty wild! https://www.youtube.com/watch?v=C2vgICfQawE )