I'm a medical doctor with no statistical skills, and I need some help on what kind of test to run.
I have a set of 20 patients who underwent CT brain perfusion multiple times (twice in most cases, up to 5 times for one case), meaning they had an injection of iodinated contrast medium, and the subsequent density enhancement was measured in blood vessels, as discrete points of density (y) in time (x). One measurement is performed every 2.5s (approximately) for 50 seconds, and the points in time are always the same for every procedure. I need to compare the intra-individual enhancement (or response to the injection), to assess whether the enhancement is statistically no different when the exam is repeated on the same patient under identical conditions (contrast medium, injection protocol, etc.). The only conditions that are not identical are the site of injection (elbow or wrist), the delay between the start of injection and the start of the brain scans (which is done manually), and sometimes the patient has an additional condition that messes with the enhancement profile (of cardiac origin mostly).
To simplify, I need to compare the solid line with the dotted line in each of the boxes below. First separetely, and then determine if the effect is the same over all the patients. I am interested in any kind of analysis that helps, like the difference between ascending slopes, peak density, area under the curves, and any others that I haven't thought of yet.
Thank you so much for reading, I look forward to reading your answers!