Stem Cell Therapy for Patients With Multiple Sclerosis Failing Alternate Approved Therapy- A Randomized Study

Inclusion Criteria: 1. Age between18-55, inclusive. 2. Diagnosis of MS using revised McDonald criteria of clinically definite MS (Appendix I). 3. An EDSS score of 2.0 to 6.0 (Appendix II). 4. Inflammatory disease despite treatment with standard disease modifying therapy including at least 6 months of interferon or copaxone. Inflammatory disease is defined based on both MRI (gadolinium enhancing lesions) and clinical activity (acute relapses \*treated with IV or oral high dose corticosteroids and prescribed by a neurologist). Minimum disease activity required for failure is defined as: a) two or more \*steroid treated clinical relapses with documented new objective signs on neurological examination documented by a neurologist within the year prior to the study, or b) one \*steroid treated clinical relapse within the year prior to study and evidence on MRI of active inflammation (i.e., gadolinium enhancement) within the last 12 months on an occasion separate from the clinical relapse (3 months before or after the clinical relapse). * A steroid treated relapse will include a relapse that was severe enough to justify treatment but due to patient intolerance of steroids, or a history of non-response to steroids, they were offered but not used. Exclusion Criteria\*\* 1. Any illness that in the opinion of the investigators would jeopardize the ability of the patient to tolerate aggressive chemotherapy. 2. Prior history of malignancy except localized basal cell, squamous skin cancer or carcinoma in situ of the cervix. Other malignancies for which the patient is judged to be cured, such as head and neck cancer, or breast cancer will be considered on an individual basis. 3. Positive pregnancy test 4. Inability or unwillingness to pursue effective means of birth control from the time of evaluation for eligibility until 6 months posttransplant (if on transplant) or until appropriate for non-transplant treatment (if on control arm). Effective birth control is defined as 1) abstinence defined as refraining from all acts of vaginal intercourse; 2) consistent use of birth control pills; 3) injectable birth control methods (Depo-provera, Norplant); 4) tubal sterilization or male partner who has undergone vasectomy; 5) placement of an intrauterine device (IUD); or 6) use, with every act of intercourse, of diaphragm with contraceptive jelly and/or condoms with contraceptive foam. 5. Failure to willingly accept or comprehend irreversible sterility as a side effect of therapy 6. Forced expiratory volume at one second (FEV1) / forced vital capacity (FVC) \< 60% of predicted after bronchodilator therapy (if necessary) 7. Diffusing capacity of lung for carbon monoxide (DLCO) \< 50% of predicted (for the transplant arm) 8. Resting left ventricular ejection fraction (LVEF) \< 50 % 9. Bilirubin \> 2.0 mg/dl 10. Serum creatinine \> 2.0 mg/dl 11. Known hypersensitivity to mouse, rabbit, or E. Coli derived proteins, or to iron compounds/medications 12. Presence of metallic objects implanted in the body that would preclude the ability of the patient to safely have MRI exams 13. Diagnosis of primary progressive MS 14. Diagnosis of secondary progressive MS 15. Platelet count \< 100,000/ul, white blood cell count (WBC) \< 1,500 cells/mm3 16. Psychiatric illness, mental deficiency or cognitive dysfunction making compliance with treatment or informed consent impossible 17. Active infection except asymptomatic bacteriuria 18. Use of natalizumab (Tysabri) within the previous 6 months 19. Use of fingolimod (Gilenya) within the previous 3 months 20. Use of teriflunomide (Aubagio) within the previous 2 years unless cleared from the body (plasma concentration \< 0.02mcg/ml) following elimination from the body with cholestyramine 8g three times a day for 11 days 21. Prior treatment with CAMPATH (alemtuzumab) 22. Prior treatment with mitoxantrone 23. Any hereditary neurological disease such as Charcot-Marie-Tooth disease (CMT) or Spinocerebellar ataxia (SCA) are contraindications 24. Use of tecfidera within the previous 3 months * For patients who clearly have inflammatory disease, an exception can be made if agreed upon by study PI and at least two study neurologists.