Study of Lonafarnib and Gleevec in Chronic Myelogenous Leukemia

1. Patients with Philadelphia chromosome (ph) positive CML in any of the following categories: 1. Chronic phase patients must have failed therapy with Gleevec. Failure will be defined as: (i) Patients who have not achieved or have lost their hematologic response at 3 months from the start of therapy with Gleevec, or (ii) Patients who have not achieved or have lost their cytogenetic response after 6 months of therapy with Gleevec, or (iii) Patients who have not achieved or have lost their major cytogenetic response after 12 months of therapy with Gleevec. 2. Patients in accelerated phase, defined as the presence of any of the following features: (i) blasts in peripheral blood (PB) or bone marrow (BM) \>/= 15% (but \< 30%), (ii) blasts + promyelocytes in PB or BM \>/= 30%, (iii) basophils in PB or BM \>/= 20%, (iv) platelets \< 100 x 10e9/L unrelated to therapy, (v) clonal evolution. 3. Patients in blast phase, defined by the presence of \>/= 30% blasts in peripheral blood and/or bone marrow, or the presence of extramedullary disease. 2\) Patients in accelerated or blastic phase are eligible whether they have received and/or failed Gleevec or not. 3\) Age \>/= 16 years. 4\) Patients must sign an informed consent indicating that they are aware of the investigational nature of this study in keeping eith the policies of the hospital. The only acceptable consent form is attached at the end of the protocol. 5\) Performance status \</= 2 by Zubrod scale. 6\) Patients must have adequate hepatic functions (bilirubin \</= 2.0 mg/dl) and renal functions (creatinine \</= 2 mg/dl). 7\) Exclusion criteria: <!-- --> 1. Patients with QTc \> 500 msec. 2. Patients with severe heart disease (cardiac class III and IV) will be excluded.