The first, Mayo Medical Laboratories v. Prometheus Laboratories, is a very complex case about whether you can patent a natural process, in this case monitoring the metabolites a drug.
I can't begin to explain it, but Lyle Denniston can. Click here for his analysis.
The dispute is between a Montana power company that operates several dams on the river and the State of Montana which says it is owed over $50 million in rent and interest.
You can read about it here.