This decade, if you want somebody to give you a bucket of money, throw the phrase "smart phone" into your pitch.
Of course, the big boys have sunk far more than $10 mil into this, but perhaps this will shake loose some new ideas.
The holy grail of portable diagnostics is called "CNIBP", for Continuous Non Invasive Blood Pressure. There's simply no way to continuously, non-invasively monitor a person's blood pressure with any accuracy. I've always found that fascinating, and use it in my instrumentation talks, to drive home the point that it's sometimes hard to tell how difficult a measurement problem will be. We can measure the distance to the moon with an accuracy of 1mm. I can measure your blood oxygen to better than a percent by shining light through your skin, but I can't tell your blood pressure without clamping on something uncomfortable and restrictive, and even then, my accuracy will be 10% at best.
-Jim MacA.