1. Department of Radiology, University of Michigan, Ann Arbor, MI 48105, USA
2. Department of Neurology, University of Michigan, Ann Arbor, MI 48105, USA
3. Neurology Service and GRECC, Veterans Administration Ann Arbor Healthcare System, Ann Arbor, MI 48105, USA
4. Morris K. Udall Center of Excellence for Parkinson's Disease Research, University of Michigan, Ann Arbor, MI 48105, USA
5. Parkinson’s Foundation Research Center of Excellence, University of Michigan, Ann Arbor, MI 48105, USA
6. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA
7. Department of Statistics, University of Pittsburgh, Pittsburgh, PA 15260, USA
8. The McGowen Institute for Regenerative Medicine, University of Pittsburgh Medical Center, Pittsburgh, PA 15260, USA
9. Critical Path Institute, Tucson, AZ 85718, USA