Cerebration is, essentially, the act of using one's mind. An example sentence would be: Due to some unconscious cerebration, he couldn't get that song out of his head.

The accented syllable in "cerebration" is the second syllable, pronounced as "bra".

In attempting to answer the question, I put my mind through much cerebration as I considered carefully what I should type in response.

Cer

(Cerebral can apply to the thinking portion of the brain, or to intellectual situations.)

The atmosphere at the conference was much too cerebral for him.

The doctors worked to maintain his cerebral blood flow.