Doing taxes for a vehicle you use for business but do not own

Can I take out a mileage deduction for a vehicle I use for business purposes, but that I do not own? I still pay for all maint., fuel, etc.

My father owns the vehicle and pays the taxes/insurance, while I take care of everything else. I realize I may not be able to take the mileage deduction, but is there some sort of deduction I can get for everything I pay for to run and operate the vehicle? My main expenses were new tires, maintenance, and fuel last year.