Its a a little bit academic written paper but with Wikipedia you can go a long way
In this paper we review the literature in which stem cells of different origin and species were used to treat neuropathic pain induced in experimental animal models. We divide the published papers according to the type of stem cell used, independently of the experimental NP model. We do not report the studies with embryonic stem cells considering the associated ethical problem and the major risk of tumors correlated to them. Moreover, we considered only papers in which the effect of stem cells on pain behaviour has been specifically evaluated. Today there are three main types of stem cells used for neuropathic pain: neural stem cells, mesenchymal stem cells, and bone marrow mononuclear cells.
http://www.hindawi.com/journals/bmri/2014/470983/
Especially this part is very interesting
3.2. Adipose Tissue Derived MSC (ASC)