The god Asklepius was in many ways one of the most important of all Greco-Roman deities, and this was true all over the Mediterranean world. Health and healing in a world full of disease and death, before modern medicine, was an urgent matter. The symbol of the god Asklepius you will be familiar with– it is the snake curled around the staff which we still see today on the AMA logo, among other places. Notice for example how Galen, one of the early famous doctors, who came from Pergamon is represented here.
Here is a helpful sign (with imperfect English) about the healing methods here— incubation (i.e. sleep overs), hot mineral baths, use of the sacred springs in the sacred groves, underground passages and water rituals etc.