1. Biomathematics Study Group, Department of Mathematics, Vanderbilt University, 1333 Stevenson Center, Nashville, TN 37240, USA
2. Pulmonary and Critical Care Medicine, Regions Hospital and University of Minnesota, St. Paul, MN 55101, USA
3. Department of Critical Care Medicine, University of Pittsburgh, 646 Scaife Hall, 3550 Terrace Street, Pittsburgh, PA 15261, USA