At the risk of sounding too critical (which isn't the point), allow me to help you hear yourself:
Our strategy is for the hackers to create a demo and
backend to achieve my design objectives while I flesh out
the rest of the medical research.
This is exactly the kind of thing I want to warn you against. If the hackers are your
partners (as they should be), then "my" design has to become "our" design. Invite your hackers to make suggestions and tweak your design. Have a whiteboard fight (what's better than a whiteboard fight?). Take their suggestions seriously, and if you disagree, don't be dismissive: try to convince them why they're wrong; get buy-in. If you can't get buy-in, then either your design is broken, or these aren't the hackers you're looking for. Then once you're all on the same page, turn them loose on the implementation while you get busy with your medical research. To my mind, that is a better way to divide labor without losing the sense of partnership.
Armed with a demo and medical research, I will be able to
prove to potential partners and angels that there is a
big medical problem, that design can solve it, that much
research, when considered together, provides a picture of
haw to solve the problem, and that I solved it. Then I
will find a partner for business aspects and look for
funding.
This sounds great!...except, make
...that I solved it... into
...that our team solved it... - because once you take on partners, you're
partners. Founders really have to be able to swallow some pride and share ownership to keep everyone on board. You may be the leader, but especially at this stage, being the leader shouldn't mean a whole lot other than a job description.
Even in your language you have to be careful about the messages you're sending to your partners to make sure that they are, indeed, partners. When you take on partners, your vision has to become their vision, and you have to be willing to let your vision evolve with new blood and new ideas (obviously, you don't want to loose the essence of the business...)
Consider the result of a subtle change in language:
Armed with a demo and medical research, I will be able to
prove to potential partners and angels that there is a
big medical problem, that design can solve it, that much
research, when considered together, provides a picture of
haw to solve the problem, and that our team solved it.
Then I will find a partner for business aspects and look
for funding.
This is much better, because it's evident that your hackers are your
partners, and that the things you're doing for the venture are valuable (performing a demo, persuade partners and angels, find funding, find the additional talent you need, and medical research skills).
Again, I hope you find this helpful. This is all stuff I've been reflecting on a lot lately, so it just comes pouring out of my head through my fingertips.