The transition from physics to biomedical engineering

I am entering my senior year as a physics major at a small, liberal arts college. I am looking to go to graduate school to pursue a PhD in biomedical engineering. I have taken some engineering, chemistry, and biology courses in addition to the physics courses required by my major.

I realize this varies case by case, but will it be harder for me to get accepted into a graduate program with a degree in physics compared to someone with a degree in biomedical engineering? Is the transition difficult?
posted by Jill, Harrisburg on June 27, 2014