exteriorize

1. To turn outward; externalize: They exteriorized their feelings of sympathy by erecting monuments to the deceased.
2. Medicine. To expose (an internal organ or body part), as in surgery.

verb

To represent (an abstraction, for example) in or as if in bodily form: body forth, embody, externalize, incarnate, manifest, materialize, objectify, personalize, personify, substantiate. See substitute.

1. To turn outward; externalize.
2. To direct a patient's interest, thoughts, or feelings into a channel leading outside himself or herself.
3. To expose an internal organ temporarily for observation, or permanently for physiological experiment or surgery.

To transpose an internal organ to the exterior of the body.

The verb has 2 meanings:

Meaning #1: bring outside the body for surgery, of organs
  Synonym: bring outside

Meaning #2: make external or objective, or give reality to
  Synonyms: exteriorise, externalize, externalise, objectify