flash through somebody's mind
flash through somebody's head
flash through somebody's brain
go through somebody's mind
run through somebody's mind

Had to be one of them-but at the image that flashed through his brain.

It had taken only a moment for the pros and cons to flash through his brain.

The images of her were flashing kaleidoscopically through his brain.

Then, suddenly, an idea, shining and new, flashed like a comet through her brain.

Images from a year and a half ago were flashing through my brain.

Fine, Grant thought as the images flashed through his brain.

Now it flashed through his brain with a blinding light.

Hardly had I seen it before an idea flashed through my brain.

Many thoughts flashed through his brain during that split second of time.

But then what she'd heard flashed through her brain.