We have an open volunteer group of researchers investigating these types of relationships using publicly accessible data sets.  If anyone is interested in this field of research as it relates to cancer I would highly encourage you to join the mailing list and/or the weekly phone calls and read through the various project listings.

Background info: https://wiki.cancerimagingarchive.net/di...
Info specific to the neuroimaging group: https://wiki.cancerimagingarchive.net/di...

Info about the available data sets:
https://wiki.cancerimagingarchive.net/di...
https://wiki.cancerimagingarchive.net/di...