Hey Bruno,
Not sure how good it is to cross-post across forums. However, do listen to Shane's idea of using Go-Pro or similar. Same goes for not hurting the subject that the surgery is performed on - do not hurt them!!! More importantly, make sure that you are insured and that the insurance company is happy to cover you for that kind of production.
Otherwise:
Take directions from the surgeon - maybe story-board your shots before going in, so everybody in the room knows what you're doing. Blood and human beings wait for no-one.
Make sure that the kit (and you) are as sterile as possible - would be bad if the patient went and died due to an post-operative infection.
Consider the use of multiple cameras in fixed positions. Depending on the height to the ceiling, I can't see how the Glidecam is going to work without getting in the way of the surgeon? Also, it is a big box to to make sterile.
Have you considered using macro? Nothing like the CSI shot of the surgeons knife cutting into the body - or maybe not.
And finally, if you haven't already read it: Mike Cohen has done some excellent work and articles on surgery video production. You can find them here on the COW
http://magazine.creativecow.net/article/surgical-video-the-cutting-edge
If you haven't done it before, maybe hire an expert to go with you in on the first job.
Good Luck
All the Best
Mads
London, UK