A plethora of technology...
"Any sufficiently advanced technology is indistinguishable from magic." -- Arthur C. Clarke (1962)
In any case, as you have learned from the other answers, the issues with your idea is rather complex. Far too complex to be covered by a nice and tidy answer on StackExchange. But we can listen in on a conversation between a Chamber Monitor Employee and an intern.
CM: Welcome! I suppose you are the new intern?
I: Yes, I am. I hope it's not too much of a hassle to you that I accompany you for this inspection walk?
CM: Of course not! Having some company on an inspection walk is always nicer thank walking alone. You see, I have to inspect 36 chambers today - which, basically, means to read out a few dials - and 36 chambers means eight hours of walking, usually alone.
I: Eight hours to check a few dials on 36 chambers? Any can't they be monitored remotely...?
CM: No, no remote monitoring, for safety reasons. The chambers' machines are very delicate and we protect them fron any unnecessary exposure from any external interference. Except for the mandatory External Brain Interface Links, of course.
I: But still...eight hours...for a "few dials"?
CM: It's mainly walking. See, the chambers are massive. For each occupant, we require about one cubic kilometer of machine space, so the walk from one chamber to another is about one kilometer. Hence, 36 chambers on a regular work day. And, before you ask, yes, the idea of using bicycles without electronics did come to us, but it would mean that halb of the Chamber Monitor personnel would be laid off...and so we prefer walking.
I: Uh, one cubic kilometer? I know that the Quantum Space Cooling machines are huge, but that huge? I mean, just for cooling one body...?
CM: Actually, the Quantum Space Cooling machinery only cools the brain. Obviously, a brain running at 100 times the normal speed also generated 100 times the heat, so there are 2 kilowatt to be taken care of.
I: But can't you just cool the blood going into the brain?
CM: No, that won't work, we need to remove the heat immediately, so all brain cells stay at reasonable temperature. And, also, we cannot speed up the blood flow 100 times to keep up with nutrition and cooling. So we teleport photons out of the brain to keep it cool.
I: Uh, isn't teleportation illegal?
CM: Large object teleportation is, indeed illegal? Do you know why?
I: No, not really....I guess so it cannot used for burglary or such? Of course I know all the conspiracy theories, like the government keeps it secret because they use to teleport airplanes away from the Antarctica Wall so they can upkeep their Round Earth conspiracy...but I don't believe in the Flat Earth idea in the first place.
CM: So you belong to a minority...nice to meet one of the 10% people who understand physics. However, the real reason that we don't use teleportation on a larger level is that it's too unstable. We can teleport photons relatively easy. Except that in our case, it isn't. More on this later. For nutrition, we need to teleport complex molecules, and this is already a pain. The machinery to accomplish a hydrocarbon teleportation, with a very close to zero failure rate, takes up a lot of the space inside that one cubic kilometer chamber. You know, we want to teleport carbohydrates into a precise location, not just anywhere, and definitely not into a cell core. So we also need to constantly scan the brain to yield high resolution tomograms. Unfortunately, these MRT scanners interfere with the External Brain Interface Links, so we require quite a heap on machinery to keep these working despite the magnetic fields. Fortunately, the MRT fields are predictable, so we can create Magnetic Tubes to contain the communication links.
I: Oh. And what was the "more on this later on" thing?
CM: To maintain the rest of the body in a useful state, we require to cool it down...and to actually slow it down. You are probably aware that we don't just use drugs to speed up the brain and slow down the body? No? Never mind. We use Temporal Effectiveness Shifting to actually slow down the flow of time in the space occupied by the body, and to speed up time proportionally in the brain region. This leads to Type Two Interfacing Issues, because the Quantum Space Cooling machines, and their larger cousins which are used to deliver nutrition and other things, run at a very different time speed than the target areas. Tis is the part of the science where I fail to even remotely grasp what's going on...after all, I am just a Chamber Monitor.
I: You mentioned Type Two Interfacing Issues. What are the Type One Interfacing Issues?
CM: These are just the basic ones you expect when the brain runs at a different speed than the rest of the body. We need to decouple the nerves linking brain and body and feed them with synthetic signals so they keep working. That is in addition to the External Brain Interface Links. Also, the tissue in the Shift Region, where the slower time flow speed intersects with the higher one, suffers a bit, especially from the resulting Brownian Motion Shift Gradient. In an area with a uniform time speed, like the brain space, we can easily convert brownian motion into photons - we use so called nanobots for that, even though these are not really 'bots, they are just a tine MEMS LASER combination which converts thermal motion into photons. These photos, with an specific and exact wavelength, are then removed by the Quantum Space Cooling machinery. --- Ah, look, here we are, Mr. Salvatore's chamber. All okay, the dials say. Here you can see the current brain heat extraction; Mr. Salvatore is producing 2500 Watts so his brain is currently running 125 times faster than your brain.
I: How is this speed increase chosen? Is is just the maximum you can attain with the machinery?
CM: The subject can change the speed by himself. Actually, most of our subjects have extended "sleep" periods where their brain is almost stopped. Life in suspended animation can be boring at times, and even the funny cat videos they can watch on the Internet get old pretty fast.
[six hours later]
CM: ...and there is also the issue that the body's and the brain's health state deteriorate over time. As we monitor the brain continuously, we can administer measures there quite fast, using the nutrition teleportation system. In case of a defect in a blood vessel, we can deliver some sort of "glue" to that spot to fix it up before the subject has a stroke. For the rest of the body, things are a bit different. I already mentioned that we perform regular x-ray scans of the whole body to check performance of all the different nanobots and the general state, in five minute intervals. We cannot use MRTs here, as the more complex nanobots deployed in the body are damaged by the magnetic fields. But the x-ray exposure causes cell defects...
CM: ...yes. Therefore, we each chamber also contains a full Cancer Diagnosis and Treatment Module. Are you aware on how these work?
I: Uh, no, I just happen to know that they have the size of a city block...
CM: Never mind. The most interesting part of the Treatment part is how these Cancer Diagnosis and Treatment Module build and deliver replacement cells. It works by...ah, well, that'll take some time to explain, and we have only two hours left on our inspection walk. I'll continue on that tomorrow. --- Now, for a change, let's talk about you for a change. Do you have any hobbies?
I: Yes, I own an H0 scale model train from one of my ancestors, and I'm restoring it to its original condition. This is not as interesting as a Artist's Suspended Animation Chamber, though.
CM: Well, it sure beats checking the dials of 36 chambers every day...