The Mathematical Biosciences Institute (MBI) was established at The Ohio State University in 2002, with funding from the NSF. The MBI brings mathematicians and statisticians together with bio-scientists from all over the country and the world in order to work on significant problems in biology and medicine. In this talk, I shall give examples where mathematics does contribute to the solution of important problems in the biosciences. (i.e. tumor growth). I shall also briefly describe new mathematical problems, which arise from biological models.