obuzeti

1. (of a feeling, state) to overcome; to seize; to come over
   Obuzeo me strah kad sam čuo korake. — Fear came over me when I heard footsteps.
   Obuzela ga je panika pred ispit. — He was seized by panic before the exam.
2. (of work, an idea) to absorb; to engross
   Novi projekat ga je potpuno obuzeo. — The new project completely absorbed him.

When describing a feeling, the feeling is the subject and the person is in the accusative: obuzeo me strah — fear overcame me.