The duty of general care is limited to those medical functions undertaken by the physician and relied on by the patient. The patient's surgeon does not owe a duty to manage medications administered in the ICU, and may rely on the ICU staff and other specialists to treat and manage the patient's non-surgical issues.
O'Toole v. Goodman, NY Slip Op 02415 (1st Dep't March 28, 2019)
Here is the decision.