Our central hypothesis is that patients with trisomy 7 will have carcinogenic changes including EGFR overexpression. EGFR blockade will inhibit a growth/survival advantage for these premalignant clones eliminating them from the biliary epithelium. As an initial step towards testing this hypothesis, the tolerability of Tarceva in this patient population needs to be established. This study will assist in determining the safety and tolerability of Tarceva in patients with primary sclerosing cholangitis. This study will be followed by a Phase 2 randomized controlled trial of Tarceva in patients with Primary Sclerosing Cholangitis with Trisomy 7.