Wow, you guys are being absolutely too harsh to some person just wanting to learn some facts about the brain.. instead of mocking the person for asking a question ("how can you be a grad/physician if you don't know.."), why don't you just simply answer or send a link to help.
In my view, one of the most important qualities in physicians is being able to educate others.. if you can't do that, then maybe YOU don't belong here.
Anyway, I thought it was a legit question, OP.. blood cells are toxic to neurons if they're in direct contact with them, but since a protective layer envelopes the brain and arteries (ex. pia mater, an inner membrane, rich with arteries), blood doesn't cross through. Also the arteries' cells are tightly connected, so only small molecules such as oxygen and glucose can pass (aka BBB).