BAY 43-9006 (Sorafenib) to Treat Relapsed Non-Small Cell Lung Cancer

This study will investigate the effects and side effects of BAY 43-9006 in patients with advanced, recurrent, or refractory non-small cell lung cancer (NSCLC). BAY 43-9006 is one of a new class of anticancer agents known as bi-aryl ureas. Patients 18 years of age and older with NSCLC that has recurred or progressed after one regimen of chemotherapy may be eligible for this study. Candidates are screened with a medical history and physical examination; blood tests; tumor biopsy (see below); chest x-ray; electrocardiogram; and imaging studies, including positron emission tomography-computed tomography (PET-CT, see below) and dynamic, contrast-enhanced MRI (DCE-MRI, see below). Participants take BAY 43-9006 by mouth twice a day, morning and evening. On the first and 15th days of treatment, patients are admitted to the hospital for pharmacokinetic studies; that is, a test of how the body handles the drug. For the test, blood is collected at intervals (at 15 minutes, 30 minutes, and 1, 2, 4, 6, 8, 12 and 24 hours after ingestion) to determine the drug's level in the bloodstream. Treatment with BAY 43-9006 continues until the study doctor determines that the medication is not beneficial or the patient wishes to withdraw from the study. In addition to drug therapy, patients undergo the following tests and procedures: * Physical examination every 4 weeks * Blood pressure checks once a week during the first 4 weeks * Blood tests every week * CT scans or other imaging tests, such as ultrasound or MRI, every 8 weeks to evaluate the tumor's response to treatment. CT is an x-ray test that provides detailed pictures of the inside of the body. It can be done from different angles, providing a 3-dimensional picture of the part of the body being studied and allowing the doctor to see the location, nature, and extent of disease. MRI uses a powerful magnet and radio waves instead of x-rays to produce accurate, detailed pictures of organs and tissues. * PET-CT approximately every 8