Radiation Therapy Plus Celecoxib, Fluorouracil, and Cisplatin in Patients With Locally Advanced Cervical Cancer

DISEASE CHARACTERISTICS: * Histologically confirmed squamous, adenocarcinoma, or adenosquamous carcinoma of the cervix * Stage IIB-IVA OR * Stage IB-IIA with pelvic node metastases and/or tumor size at least 5 cm * No small cell, carcinoid, glassy cell, clear cell, or adenoid cystic disease * No metastatic disease outside of pelvis * No para-aortic disease PATIENT CHARACTERISTICS: Age: * 18 to 85 Performance status: * Zubrod 0-2 Life expectancy: * At least 6 months Hematopoietic: * WBC at least 3,000/mm\^3 * Absolute granulocyte count at least 1,500/mm\^3 * Platelet count at least 100,000/mm\^3 Hepatic: * Bilirubin no greater than 1.5 mg/dL * AST or ALT no greater than 2.5 times upper limit of normal (ULN) Renal: * Creatinine no greater than 1.5 mg/dL * Creatinine clearance at least 50 mL/min * Calcium no greater than 1.3 times ULN Cardiovascular: * No severe heart disease Other: * Not pregnant or nursing * Negative pregnancy test * HIV negative * No prior allergy to sulfonamides or non-steroidal anti-inflammatory drugs (NSAIDs) * No prior hypersensitivity to celecoxib or any component of its formulation * No medical or psychiatric illness that would preclude study * No active gastrointestinal (GI) ulcer, GI bleeding, or inflammatory bowel disease * No other prior malignancy within the past 5 years except cutaneous basal cell skin cancer PRIOR CONCURRENT THERAPY: Biologic therapy: * No recent prior celecoxib or other cyclo-oxygenase-2 inhibitor Chemotherapy: * No prior systemic chemotherapy Endocrine therapy: * Not specified Radiotherapy: * No prior radiotherapy to pelvis except transvaginal radiotherapy to control bleeding Surgery: * No prior surgery for cervical cancer except biopsy Other: * No concurrent phenytoin or lithium * No other concurrent NSAIDs