But not PD specific....math seems like the next best thing to time travel, which treatments are going to have to do to catch up with knowledge.
Pitt Team Receives $2.5 Million to Simulate and Analyze Brain, Immune System Activity and Apply Math to Medical Problems

Models of how systems evolve and function under certain conditions could lead to better medical understanding of when and how to treat patients

PITTSBURGH-In an effort to promote the application of mathematics to medical treatment, researchers in the University of Pittsburgh's Department of Mathematics will undertake a $2.5 million project to create models of how the brain and immune system function and change over time in response to certain illnesses, infections, and treatment. The models are intended to help doctors better understand and predict the possible short- and long-term responses of their patient's body to treatment.

The National Science Foundation awarded University professor G. Bard Ermentrout, assistant professor Beatrice Riviere, associate professor Jonathan Rubin, assistant professor David Swigon, and professor and interim chair Ivan Yotov a nearly $1.8 million Research Training Group (RTG) award. The RTG includes resources for creating training programs for mathematics students wherein they would work with physicians and biologists to help resolve complicated medical problems through mathematics. Pitt's School of Arts and Sciences-which houses the mathematics department-provided additional funds.

The team will create a variety of computer models based on differential equations-which predict how systems evolve over time-with the medical guidance of scientists and doctors in Pitt's Departments of Biological Sciences and Neuroscience, the Pitt School of Medicine, and UPMC, said Rubin, a coinvestigator on the project.

http://mac10.umc.pitt.edu/m/FMPro?-d...&id=3369&-Find