Possibly a variant of Bryson, meaning son of Brice
Brisen is a modern American invention, likely functioning as a phonetic variant of the more common Bryson. As a derivative of Brice, it ultimately traces back to the Celtic name Bricius, which may mean speckled or colorful. It follows the popular trend of two-syllable names ending in -en or -on.
Less common today
Brisen isn't in the latest US Top 1000. It last peaked at #9,349 in 2018.
US births per 5-year period, 1990βpresent (SSA data).