This study being conducted by the Karolinska Institute in Stockholm and expects to recruit 10 patients suffering with chronic graft versus host disease. This condition develops in patients who have had bone marrow transplants where the transplanted bone marrow sets up a reaction to the patient's own tissues. All the patients will receive the same dose of a donated mesenchymal stem cells and their condition monitored for nine months. The trial is scheduled to run between August 2011 and August 2015.