Here are several different ideas for you to check out. There are a few concepts we're trying to push with these designs. Mainly we're trying to communicate three things; the letter "B" to represent a bridge, a strong shape to show confidence, and clean contemporary type.
The "B" in particular is extremely striking and lends itself great to using as an icon. I've manipulated it where, it's not just a B, and is a little more abstract, balancing being a letter and also being a bridge (on it's side). Column 2, you'll notice that I went with an organic shape to represent different elements in the medical field.
For this first round, we're sticking with just black and white as we want to focus on the core of the logo and decide what stands out the best without a color determining what you like or don't like. As you can see almost all designs can be simplified down to a single color without losing it's bold appearance.