Do you still run when you are sick? Does that affect your healing time?

I'm trying to decide whether to stick to my routine and run, or hole up in my bed. I woke up feeling kind of ill and I have a business trip in two days. I don't want to get sicker but I hate missing my routine. I'm not asking whether it's good for me to run--that's a question for my doctor, but I'm wondering what the general consensus about sickness and running is. Do you try to stay in and recover? Or does running have no effect on your recovery?