I would say the mind is a function of the brain. A fully functional brain equals a fully functional mind.
Healthy brain equals healthy mind.
I don't believe that someone can have symptoms of mental illness without a correlating dysfunction
of the physical brain. I think I am an example of this paradigm.
I was mentally ill for 40 years. I read all the self help books which assumed I was free of physical illness,
and therefore needed to work on my psychology (thought processes). I tried to own my shortcomings and my illness
and assume responsibility for it in hopes that I might be able to assert control over it. 40 years of those efforts failed.
Then I discovered that I had a physical brain problem the whole time! I had significant pathology
in my dominant temporal lobe which was the result of a (difficult to diagnose) epileptic syndrome. I had a hardware problem
that was responsible for my software issues. My brain illness is detectable by Electroencephalogram.
I'm not in the mood to hear about repressed emotions anymore. LOL. Every organ in the body is subject to specific physical illness.
The brain is the largest organ in the human body. It stands to reason it will have proportional physical illness.
That illness can be expressed in symptoms of both physical and mental illness.
I'm not sure the mind is not physical. It exists in the form of chemical and electrical actions.
It has a direct correlation with the physical brain. Similarly, an electromagnet has a direct correlation with the magnetic field
it produces. Without the electromagnet, there is no field. The field is radiated energy with a rest mass of zero. But, it is never
at rest and to fully understand it to the limit at which it can be understood, one must utilize several classical physics theorums
and quantum mechanics. I'm content to say the magnetic field is real, and if you damage the electromagnet....you damage the field.