To sum up, the core requirements for medical device registration under the MDSAP system in the U.S. include compliance with ISO 13485, FDA's Quality System Regulations, successful completion of an MDSAP audit, device registration and listing, post-market surveillance, and adherence to other FDA-specific requirements such as labeling and reporting. The goal of MDSAP is to streamline the process for manufacturers by reducing the need for multiple audits across different countries, while ensuring that devices meet the necessary safety and quality standards.