One professor at the Medical Academy taught that the brain had a "spark of life" that couldn't be replicated. Bashir recalled this comment when facing the question of replacing parts of Bareil Antos' brain with artificial implants. (DS9: "Life Support")
The final graduation exams for Starfleet Medical Academy included an oral exam. Julian Bashir mistook a preganglionic fiber for a postganglianic nerve during his oral exam. As a result, the valedictorian of his class was Elizabeth Lense. (DS9: "Explorers")
In the late 24th century, Starfleet Medical Academy graduates entered the fleet with the rank of lieutenant junior grade.
The Starfleet Medical Academy seems to be a separate institution from Starfleet Academy, just as the Uniformed Services University of the Health Sciences is separate from the individual military academies of the United States Armed Forces. According to Ron D. Moore, Bashir first went to the [Starfleet] academy, and only then to medical school. The reason the lieutenant junior grade grade is was then awarded is to would let him keep pace with his Academy classmates, as happens in current military practice. (AOL chat,1997)