Not to belittle the doctor's work, but the truth is this isn't that hard a hack to imagine. Dialysis is a pretty simple process, done with a diffusion membrane. No doubt what he did was take a membrane intended for a normal machine and size it down with "plumbing" appropriate for the patient.
But then, that's kind of an essential quality of all great hacks, isn't it? They all look straightforward and simple when they're finished.