Heretofore morbidity and mortality in Zollinger-Ellison syndrome were caused by severe ulcer disease. The advent of specific drugs to cure ulcer disease now extends life until metastases from the non-B-islet cell tumor or other events cause death. Patients with metastatic gastrinoma that is not surgically resectable and that has increased in size over a 4-6 month period prior to the study will be treated with interferon-alpha, 5 million international units/day. The drug will be administered subcutaneously by the patient. Tumor response and side effects will be monitored. Patients will receive 6 months of therapy and if there is reduction or stabilization of tumor masses, therapy will continue as long as response is maintained.