I did not apply for the Mayo Clinic fellowship but I did apply and get into a fellowship at Carolinas Medical Center Critical Care Fellowship.
1. Ia plied very early and got all my paperwork in as soon as possible.
2. I stressed all my experience as it pertained to what I was applying for...ie: critical care, I have extensive experience with lines, codes, invasive cardiac monitoring as I also did CVICU and ER as an RN
3. I emailed to check on my application
4. I was myself. :)
In the interview it was tough competition but I just showed my sheer enthusiasm for critical care and for the program. I highlighted my areas of expertise but also let know that I had faults and was willing to address and work on those faults.
Let me know if there are any questions I can answer for you :)