The Incas made the most notable advances in the area of surgical preparation, specifically in the field of surgical techniques and tools. They developed sophisticated methods for preparing patients for surgery, such as using herbal remedies and anesthesia from plants like coca leaves. They also utilized aseptic techniques to reduce the risk of infections during surgery. Additionally, they were skilled in the splinting of broken bones, but there is no evidence to suggest that they made advances in antibiotic medicine or organ transplants.