Chemoembolization and Bevacizumab in Treating Patients With Liver Cancer That Cannot Be Removed With Surgery

Inclusion Criteria: * Age \> 18 year old * Histologically or cytologically documented HCC * Patients must have bi-dimensional measurable disease by CT or MRI scan that does not exceed 50% of the liver parenchyma * Patients must be considered clinical candidates for chemoembolization, with at least one lesion \> 3cm and no lesion \> 15cm in its longest diameter * Patients awaiting cadaveric orthotopic liver transplantation are eligible if they meet all other criteria. These patients must have a model for end-stage liver disease priority score \< 28 points at entry * Cirrhosis Child-Pugh class A or B * Patients with documented grad III varices or prior history of UGI bleeding will require endoscopic evaluation prior to treatment under this protocol. * Platelet count equal or greater than 60,000/μL * Female patients must use effective contraception, be surgically sterile or be postmenopausal; male patients must be using barrier contraception or be surgically sterile * Patients must be willing and able to comply with all study requirements and have signed the informed consent Exclusion Criteria: * Previous history of liver transplantation * Fibrolamellar histology * Prior antiangiogenesis therapy * Presence of extrahepatic disease * Presence of biliary obstruction defined as biliary dilatation and total bilirubin \> 2.5mg/dl * Thrombosis of the main portal vein * Absolute contraindications to doxorubicin, mitomycin-C, cisplatin, iodinated contrast material, Avitene or dexamethasone treatment * Other active malignancies during the past year (except for non-melanoma skin cancer or in situ carcinomas) * ECOG PS\> 2 or life expectancy \< 12 weeks * History or evidence upon physical examination of CNS disease * Major surgical procedure, open biopsy, or significant traumatic injury within 28 days prior to Day 0, or anticipation of need for major surgical procedure within 3 months of study entry; fine needle aspirations within 7 days prior to Day 0 * Current or recent (within the 10 days prior to Day 0) use of full-dose oral or parenteral anticoagulants (except as required to maintain patency of preexisting, permanent indwelling IV catheters) or thrombolytic agent (for subjects receiving warfarin, international normalized ration of \< 1.5) * Chronic, daily treatment with aspirin (\> 325mg/day) or nonsteroidal anti-inflammatory medications * Positive pregnancy test or lactation * Proteinuria at baseline or clinically significant impairment of renal function. Subjects unexpectedly discovered to have \> 1+ proteinuria at baseline should undergo a 24-hour urine collection, which must be an adequate collection and must demonstrate \< 500 mg of protein/24 hr to allow participation in the study * Serious, nonhealing wound, ulcer, or bone fracture * Evidence of bleeding diathesis or coagulopathy * Current or recent (within the 28 days prior to Day 0) participation in another experimental drug study * Clinically significant cardiovascular disease, New York Heart Association Grade II or greater congestive heart failure, serious cardiac arrhythmia requiring medication, or Grade II or greater peripheral vascular disease within 1 year prior to Day 0 * Prior history of hypertensive crisis of hypertensive encephalopathy * History of abdominal fistula or gastrointestinal perforation within 6 months prior to Day 1 * History of hemoptysis within 1 month prior to Day 1 * Significant vascular disease within 6 months prior to Day 1 * Screening clinical laboratory values: * ANC of \< 1500/μL * INR of \> 1.5 * Total bilirubin of \> 2.5mg/dL * AST or ALT \> 5 times upper limit of normal * Serum creatinine of \> 2.0 mg/dL or creatinine clearance \< 45 mL/min * Hemoglobin of \< 8.5 gm/dL * History of other disease, metabolic dysfunction, physical examination finding, or clinical laboratory finding giving reasonable suspicion of a disease or condition that contraindicates use of an investigational drug or that might affect interpretation of the results of the study or render the subject at high risk from treatment complications