1 Department of Medicine, Columbia University, New York, NY.
2 Department of Biostatistics, Columbia University, New York, NY.
3 Department of Cardiovascular Medicine, The University of Tokyo, Tokyo, Japan.
4 Department of Neurology, Evelyn F. McKnight Brain Institute, Miller School of Medicine, University of Miami, FL; Department of Public Health Sciences, Miller School of Medicine, University of Miami, FL; Clinical and Translational Science Institute, Miller School of Medicine, University of Miami, FL.
5 Department of Neurology, Vagelos College of Physicians and Surgeons, Columbia University, New York, NY; Department of Epidemiology, Mailman School of Public Health, Columbia University, New York, NY.
6 Department of Medicine, Columbia University, New York, NY. Electronic address: [email protected].