Market Profile organizes a session by price and participation rather than only by time. Depending on the implementation, the profile may use time-at-price (TPOs), volume, or another distribution of activity.
The common references are the point of control (POC), value-area high (VAH), and value-area low (VAL). Together they describe where the auction spent time and where it reached away from that accepted area.
A profile is a map of what happened in a chosen period. It does not say that price must return to the POC or reject an edge.