A 17-year-old teenager is evaluated during an office visit. She is brought in by her mother who is concerned about her focus on diet and weight. The patient states that she believes that she is obese and feels as though she needs to diet to achieve a more appropriate body weight. She also reports exercising on a daily basis to help her lose weight. Dietary history suggests that most of the time she consumes very little food, but at least twice per week she will eat large amounts of high-calorie desserts over the course of 1 to 2 hours. She describes feeling guilty after doing so and will make herself vomit. Medical history is otherwise unremarkable, although she indicates that her menstrual periods are highly irregular.

On physical examination, vital signs are normal. BMI is 23. The parotid glands are enlarged, but the remainder of the examination is unremarkable.

Which of the following is the most likely diagnosis?