godan verb (-ku)
run through to the end; outrun; persevere
Literally to run all the way to the end of a course or race; figuratively to carry something through to completion despite difficulties.
彼は最後まで走り抜いた。
He ran through to the very end.
困難なプロジェクトを走り抜く覚悟
I'm determined to see this difficult project through to the end.