What are my chances of getting into a top bioengineering grad school?

[physviti]

I am specifically interested in neural engineering. Schools I'd like to study at include: Stanford, Berkley, JHU, Duke, Caltech, Gtech etc...

Undergrad Institution: Small but decent liberal arts college

Majors: Math and Physics (both completed)

GPA 3.86 (Only one B past my freshman year)

Top of my math class (won the department award)

GRE Q 750 (I will fix this)

V 600

w 4.0

Took several graduate classes in math and physics. Won a physics scholarship one year. Two summers of research in computational physics with one paper coauthored. Gave a talk at a regional conference. I plan on taking neuroscience and biology courses next year.

What are my chances? If my chances are bad in neural engineering, I might just apply to computational neuroscience programs instead (I believe they are easier to get into).

[socxer]

Bump, I'm also curious about what neural engineering programs and what they consider important. What are the dealbreakers (whether have's or have not's)?