Immunoablative Mini Transplant (Hematopoietic Peripheral Blood Stem Cell Transplant [HPBSC])

The purpose of this research study is to evaluate the effectiveness of transplantation of high doses of peripheral blood stem cells (stem cells are special cells found in the blood and bone marrow that produce new blood cells) after treatment with non-myeloablative chemotherapy (not toxic to the bone marrow). In addition, this study will assess the side effects of the transplant.

The standard treatment in many disorders of the bone marrow is high dose chemotherapy and whole-body radiation treatment followed by the stem cell transplant. This type of transplant not only suppresses or kills off the immune system, but is very toxic to the bone marrow. This study uses a chemotherapy regimen that will suppress the patient's immune system; however, it is non-myeloablative (not toxic to the bone marrow). It does not use whole-body radiation treatment. This approach can minimize the short- and long-term effects of transplantation. Other studies have shown that using chemotherapy followed by bone marrow transplantation without whole-body radiation can produce similar results as treatment with whole-body radiation.

Patients will be given chemotherapy with Fludarabine and Busulfan prior to the stem cell transplant. This treatment not only destroys diseased cells, but it also kills normal bone marrow cells. Following this experimental treatment, the patient will be given the stem cells through a central venous catheter (tube inserted in a vein). When the healthy stem cells are given to the patient, they will replace the destroyed bone marrow cells and produce new blood cells. The Allogeneic (not one's own) stem cells used in this experimental transplant will be obtained from a related matched donor or from an unrelated matched donor located through the National Marrow Donor Program.

Eligibility Criteria:
Inclusion Criteria:

* Patients with recurrent solid tumors
* Patients with malignant melanoma
* Patients with hematological malignancies.

  * Chronic myelogenous leukemia in chronic or accelerated phase, to include chronic myelomonocytic leukemia (juvenile chronic myelogenous leukemia (JCML) or CMML).
  * Acute lymphoblastic leukemia (ALL)

    * First remission high-risk ALL (Ph+ with initial high white blood cell (WBC)t (4-11) in infants less than 1 year and CALLA negative)
    * Second or subsequent remission ALL or isolated extramedullary disease on or off therapy.
  * Acute non-lymphocytic leukemia (ANLL)

    * Patients with ANLL in first remission who have a matched sibling donor.
    * ANLL in second remission, or patients who only achieve an initial partial remission \< 15% blasts, or early relapse.
  * Myelodysplastic syndromes (MDS): refractory anemia (RA), refractory anemia with excess blasts (RAEB), refractory anemia with excess blasts in transformation (RAEB-T) and CMML/JCML.
* Selected immunodeficiencies:

  * Wiskott-Aldrich syndrome.
  * Severe combined immunodeficiency variants that require ablation.
  * Hyper-Immunoglobulin M (IgM) syndrome.
  * Other immune deficiencies after approval from the medical director.
* Bone marrow failure syndromes (single or multiple hematopoietic lines)
* Venous access: A double lumen central vascular access device or its equivalent will be required for all patients entered on the protocol.
* Informed consent: The donor and the patient and/or the patient's legally authorized guardian must acknowledge in writing that consent to become a study subject has been obtained in accordance with the institutional policy approved by the United States (U.S.) Department of Health and Human Services.
* Patient organ function requirements:

  * Adequate renal function: serum creatinine \< 2 x normal, or creatinine clearance calculated by Schwartz formula, of glomerular filtration rate (GFR) \> 40 ml/min/1.73m2, or an equivalent GFR as determined by the institutional normal range.
  * Adequate liver function: total bilirubin \</= 2 x normal; and Aspartate aminotransferase (AST) or Alanine aminotransferase (ALT) \</= 4 x normal.
  * Adequate cardiac function: shortening fraction of \> 24% by echocardiogram, or ejection fraction of \> 30% by radionuclide angiogram.
  * Adequate pulmonary function: Diffusion Lung Capacity Carbon Monoxide (DLCO), Forced Expiratory Volume in 1 second (FEV1) / Forced Vital Capacity (FVC) \> 30% by pulmonary function test. For children who are uncooperative for pulmonary function tests and have no evidence of dyspnea at rest or exercise intolerance, pulse oximetry \> 94% on room air is considered acceptable.
  * Performance status: Lansky Score \>/= 60% for children \</= 16 years of age; or Karnofsky \> 60% status for those \> 16 years of age.

Exclusion Criteria:

* Patients who are pregnant
* Inability to find a suitable donor for the patient
* Patient is HIV-positive
* Patient has active Hepatitis B
* Disease progression or relapse prior to HPC infusion