For all cohorts, PTC596 will be orally administered at least 30 minutes prior to IV chemotherapy, twice a week on day 1, 4, 8, 11, 15, 18 of each 21-day cycle. The starting dose is 1.3 mg/kg in cohort 1. Carboplatin (AUC = 6 mg/mL min) will be administered IV on day 1 and paclitaxel (80 mg/m2) will be administered IV once a week on days 1, 8 and 15 of each 21-day cycle. Dose escalation levels for PTC- 596 are1.3mg/kg, 2.6mg/kg, 5.2 mg/kg and 7.0mg/kg Q BIW. Doses may be de-escalated for management of toxicity with the lowest dose being 0.65 mg/kg. A total of 3 cycles of PTC596 and paclitaxel/ carboplatin will be given before iCRS and an additional 3-5 cycles following iCRS.