1. To form a circle or ring around; surround. See Synonyms at surround.
2. To enclose; envelop.
3. To constitute or include: a survey that encompassed a wide range of participants.
4. To accomplish; achieve.
Essentially, I was saying you don't know if they know what knowledge more it is about the person they need to get a grip on. It could be anywhere from a week to year before they find out about diseases.