I suppose that the tests you will get will be tailored to your problems. To be included on the trial for emphysema/copd repair work, I had
Full blood count
Nuclear medicine lung VQ scan
CT scans in various positions
Height/weight measured (important - by BMI cannot be clinically obese)
Six minute walking distance measured - no oxygen
Complete medical history was not made available to the Brompton, but I got a copy from my GP's and sent it to them. This was not only to check on the history of the copd, but also confirm that I'd had the various flu and pneumonia jabs, etc.
Next will be another full blood count and spirometry tests and, if all goes well a bronchostomy with a camera down the throat to take a peek at my inner being.
Throughout the times in the hospital, I was always treated with kindness and never "talked down" to, and no questions were ever ignored. You should receive a letter detailing the various checks they want to make, in sufficient time to be able to check up on what they mean on t'internet.
Good luck !