The following information may help to address your question:
There is no cure for hyper IgD syndrome and currently no established treatment. Management is focused on supportive care. Some patients have responded to high-dose prednisone. Simvastatin, Anakinria (an IL-1 receptor antagonist) and TNF inhibitors have recently shown some success in controlling inflammatory attacks.
Consultations with the following specialists may be helpful: dermatologist, rheumatologist, and infectious disease specialist (to evaluate periodic fever).