Some of the big(costly) problems in healthcare include reducing patient readmissions (Medicare is getting ready to penalize hospitals for up to 280 million dollars for high readmit rates come Oct), managing inpatient and ER utilization by being able to predict rising trends so that measures of intervention can be taken. Preventive healthcare aided by the use of mobile health monitors that automatically track and log personal health metrics is another big opportunity and will likely be the biggest revolution in healthcare in over a century if it takes hold.
I am just a little surprised there is not more discussion around here on healthcare related startups. The problems are big but so are the opportunities. I work on the analytics side for a healthcare MCO and see the challenges and issues daily.