Is their any similarity between the workings of boolean logic/circuitry and the human brain?

Answer 1

Boolean logic is expressed in terms of ones/zeros or on/off or true/false, etc.

The connections in the brain are not on/off. Each has a broad range of responses with minor changes in a response sometimes making a great change.

For background, you can read about depression or any other mood disorder and the chemistry that is related. Dopamine, seratonin, etc.

Answer 2

Pretty much no from recent research on the brain.