If what you were saying is true then a complex enough computer simulation of intelligence should itself be self-aware and conscious which is a pretty contentious subject.
I don't actually see an ultimate reason why this couldn't happen, though it would possibly have to be provided with the same sensory inputs that we are.
There is nothing particular to brain cells that allow them to generate conscious-like properties. The precise mechanics are still to be determined, but it's only a matter of time before we get there.