Completing a neurological status of the patient would be a normal physical examination report.

In the UK one can have a neurological examination either via the NHS or through a private company. The NHS would arrange a full neurological examination at hospital if your symptoms indicated this was appropriate. The National Hospital for Neurology and Neurosurgery in Queen Square, London is the largest neurology facility in the UK.

neurological exam/examination/check/check-up

A neurological examination is an essential component of a comprehensive physical examination. It is a systematic examination that surveys the functioning of nerves delivering sensory information to the brain and caring motor commands.

Geraint Fuller has written:

'Neurological examination made easy' -- subject(s): Handbooks, Methods, Neurologic examination