Final answer:
Neural precursor cells that migrate first from the neural tube form the neural crest and differentiate into peripheral nervous system structures and some non-nervous tissues.
Step-by-step explanation:
The neural precursor cells that first migrate away from the developing neural tube are predominantly destined to become cells that reside in the peripheral nervous system (PNS). During embryonic development, these cells form a structure known as the neural crest. After the neural tube closes, the neural crest cells disconnect from the epidermis and migrate throughout the embryo. These cells eventually differentiate to form most of the PNS, including structures such as the nerve plexus, craniofacial cartilage and bone, melanocytes, and enteric nervous tissue.
The neural crest is vital for the formation of peripheral structures both in the nervous and non-nervous tissues. Its role is paramount in the development of the PNS and contributes to the diversity of tissue types that arise during embryogenesis. It is crucial for students of developmental biology to understand the migration and differentiation of neural crest cells as they give rise to various functional tissues in the body.