This is a Phase 2b dose-ranging, randomized, double-blind, placebo-controlled clinical trial designed to assess the efficacy and safety of simtuzumab in subjects with PSC. Simtuzumab (GS-6624) is a humanized lgG4 monoclonal antibody against LOXL2. It is hypothesized that the inhibition of LOXL2 can prevent the progression of, and possibly reverse, fibrosis in subjects with ongoing liver disease.