Study of ABT-510 (Thrombospondin Analogue) in Patients With Advanced Head and Neck Cancer

Inclusion Criteria: * Patient has histologically proven squamous cell carcinoma of the head and neck that is not amenable to curative therapy, including radiation or surgery (including surgery following induction chemotherapy or chemo-radiation). * Patient's tumor is biopsy accessible. * Patient has a Karnofsky performance status \>/= 70. * Patient has adequate bone marrow function: White blood count (WBC) \>/= 3,000 cells/mm3, absolute neutrophil count (ANC) \>/= 1,500 cells/mm3, platelet count \>/= 100,000 cells/mm3, Hgb \>/= 9.0 g/dL. * Patient has adequate liver function: total bilirubin level \</= 2.0 mg/dL, albumin \>/= 2.5 g/dL. * Transaminases (SGOT and/or SGPT) may be up to 2.5 \* upper limit of normal (ULN) if alkaline phosphatase is \</= ULN, or alkaline phosphatase may be up to 4 x ULN if transaminases are \</= ULN. However, patients who have both transaminase elevation \> 1.5 \* ULN and alkaline phosphatase \> 2.5 \* ULN are not eligible for this study. * Patient has serum creatinine \< 2 mg/dl * Patient has signed a written informed consent. * Patient may have received any number of prior chemotherapeutic regimens for recurrent or metastatic disease. * The subject must not be pregnant or breastfeeding. All subjects (male and female) should practice contraception (e.g., barrier, hormonal, intrauterine device \[IUD\]) or abstain from sexual intercourse while in the study and for up to two months following completion of therapy. * The subject is able to self-administer or has a caregiver who can reliably administer subcutaneous (SC) injections. * Patient \>/= 18 years of age. Exclusion Criteria: * No biopsy accessible tissue. * Patient has received prior radiation therapy to biopsy site within the past 3 months. (Patient may have received palliative radiation within the past 2 weeks, but not to the biopsy site.) * Patient exhibits confusion, disorientation, or has a history of major psychiatric illness which may impair patient's understanding of the informed consent. * Patient requires total parenteral nutrition with lipids. * Patient has a history of uncontrolled heart disease including congestive heart failure, angina at rest, myocardial infarct in the last 6 months, uncontrolled hypertension with systolic blood pressure (BP) \>160 or diastolic BP \>90, systolic blood pressure (BP) \<90 or symptomatic hypotension, or symptomatic or potentially life-threatening tachycardia, bradycardia or arrhythmia. * Pregnant women and women who are currently breast-feeding may not participate in this study. All women of childbearing potential must have a negative pregnancy test within 24 hours prior to enrolling in the study. * Serious infection or other intercurrent illness requiring immediate therapy. * The subject has a history of or currently exhibits clinically significant cancer related events of bleeding (e.g., hemoptysis). The subject has a recent history of (within 4 weeks from Study Day 1) or currently exhibits other clinically significant events of bleeding. * If subject is receiving therapeutic anticoagulation therapy, low dose anticoagulation for catheter prophylaxis will be permitted; PT/PTT must be within normal limits. * The patient has a history of or currently exhibits central nervous system (CNS) metastasis. Brain magnetic resonance imaging (MRI) within 28 days of enrollment is required to confirm the absence of CNS metastases. * Patient has received chemotherapy or biologic therapy within 3 weeks of registration.