Although there is a link between our thoughts and emotions to our brains, I think the Bible assumes the brain was part of the flesh and not really the seat of the mind, emotions or will. It is not interested in medical science but spiritual history of the kingdom of God.
I do not think of the brain as being the mind, emotions, or will. I think of it as the connector with the soul, so the soul can control the body. The soul is outside the brain and imposes its mind and will on the brain in a two-way push-pull relationship. For example, when a disembodied soul goes to paradise with Christ, they still have mind, emotions and will but no brain. The do not need a brain because they do not need to interact with the physical world. Therefore, although the Bible does not engage in neuroscience, it speaks beyond the flesh.
The mystery of how the soul affects the flesh and the flesh affects the soul is not explained in the Bible. However the Bible does admit the physical has mutual interaction with the spiritual. Neuroscience only more clearly sees this working from the physical side, and the Bible reveals the relationship from the Spiritual side.
The brain is not the soul, even our current body and brain, not like our future one. Our future body will need a different brain, if it has one, to react in a different physical world:
If there is a natural body, there is also a spiritual body. So it is written: “The first man Adam became a living being”; the last Adam, a life-giving spirit. (NIV 1 Corinthians 15:45)
Notice that Adam had a brain but until his soul was breathed into him he was not a living being.
The body is just a shell and only when it is animated by the soul is their proof of a living life. Actually this was a common definition of Aristotle, if I remember correctly, as determining, ‘What is living?’ The answer was the animation of the object, whether plant, vegetable or animal.
Is death not defined by the soul leaving the body?
Jesus called out with a loud voice, "Father, into your hands I commit my spirit." When he had said this, he breathed his last. (NIV Luke 23:46)
Notice it would seem strange of Jesus had said ‘Father I commend my brain into your hands, as he was just about to leave his body, with brain, in a tomb.’