The 19-member board will hear testimony Friday from supporters of looser rules that they say will lead to more innovation, and those who think there should be greater oversight. The board could also decide to vote on the new rules.
Perry has been a proponent of greater experimentation and praised the procedure in which he had his own stem cells injected into his back.
The Food and Drug Administration hasn't approved using adult stem cells to help people heal from surgery, but experimentation is common. Some scientists tout the possible benefits, including treatment for heart disease, diabetes and some cancers.