Inclusion Criteria:

- Histologically proven primary squamous cell carcinoma arising in the oropharynx, oral
cavity, hypopharynx, or larynx. Patients with recurrences after primary surgery (with
no history of radiotherapy or chemotherapy) are also eligible.

- The patient has stage III or IV disease, T3 or higher, or N2 or higher,
nonmetastatic. Recurrent need not satisfy these staging requirements on restating,
but patients must be nonmetastatic, and either be unresectable, medically inoperable,
or refuse further surgery.

- Performance status < 2 (ECOG scale) with a life expectancy of > 12 months.

- Age > 19 years.

- The patient is medically fit to tolerate a course of definitive radiation therapy.

- The patient has:

- adequate hepatic function with bilirubin < 1.5 x upper limit of normal (ULN),

- transaminases (SGOT and SGPT) may be up to 2.5 x ULN if alkaline phosphatase is
< ULN, or alkaline phosphatase may be up to 4 x ULN if transaminases are < ULN,

- adequate renal function with serum creatinine < 1.5 mg/dl (or estimated
creatinine clearance of > 50 mL/min),

- normal serum calcium,

- adequate hematologic function as: defined by an absolute neutrophil count >
1500/ml, hematocrit > 24 %, and platelet count > 100,000/ml. Patients with
hematocrit between 24 % and 30 % should undergo transfusion or treatment with
epoetin, and may be enrolled.

- The patient may have had a prior malignancy but must be disease-free for 5 years
prior to study entry. A history of superficial non-melanoma skin cancer or in situ
carcinoma of the cervix less than three years will be allowed.

- The patient must agree to use effective contraception if procreative potential
exists, and continue contraception for at least 3 months following completion of the
study.

- Patient must be informed of the investigational nature of the study and sign an
informed consent form.

Exclusion Criteria:

- The patient has received radiation therapy previously to the head and neck. Previous
radiotherapy for skin cancers of the head and neck are permitted if the fields do not
overlap.

- The patient has received prior chemotherapy for head and neck cancer.

- The patient is pregnant or lactating.

- Squamous cell carcinoma arising in the nasopharynx, sinuses, salivary glands, or the
primary is unknown.

- Non-squamous histologies (such as adenoid cystic or mucoepidermoid)

- Peripheral neuropathy > Grade 2.

- Serious non-malignant disease (e.g. congestive heart failure, uncontrolled atrial
fibrillation, active hepatitis, renal failure or renal transplant).

- Scleroderma or active connective disorder (Lupus)

- Allergy to celecoxib, sulfonamides, or other NSAIDS

- Any underlying psychological condition that would prohibit the understanding and
rendering of informed consent.

- Major surgery < 3 weeks prior to study entry