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Good post monarch. I like the fact that you're looking at different scenarios which could 'simulate' zombie-like behaviour, which is undoubtedly a far more realistic possibility.

Well, the "infectious psychopath" is both more likely in reality, and more frightening in potential. A living, breathing murderer who is completely controlled by antisocial impulses is much worse than a shambling, rotting corpse. The whole undead thing only creeps people out because of the general human fear of "dead things."
Of course, I'm not going to scientifically rule out the possibility that a state that could be described as "undead" might be possible. I'm too much of a scientist to rule out anything out of hand. But undeath is a pretty vague term, medically speaking. We'd have to create some definitions.
Scenario 1:
If the subject had no heartbeat or breathing, that would mean that no centralized respiration was functioning. For the subject to be physically active, the cells would have to have another means of supporting their metabolism. One possibility for this is a biological agent which "cannibalizes" the subject's own tissue to produce chemical energy; cellular waste products would have to be consumed, catalyzed, or diverted by the microbe causing the condition. Presumably, the microbe would begin by cannibalizing tissue that was not involved with mobility. Muscles and somatic nerves would be preserved, while fatty tissue (skin, many internal organs, genitalia, etc.) was attacked for its chemical energy. This would render the subject constantly awake and alert, and capable of motion, but would quickly degrade or stop some of the normal "life signs." The lungs would quickly be attacked and devoured, and breathing would stop as the thorax and abdomen lost interior flexibility. The heart would follow, ceasing its beat as the peripheral nerves around it were destroyed. Body temperature would remain normal, or even rise; chemosynthesis generates heat.
This disease would be quickly terminal, and subjects wouldn't be able to last more than a few days, at most. The entire time, they would be overcome by the incredible pain of the infection causing their cells to lyse and implode. Their lives might be extended by consuming more fresh human fatty tissue (now, that's a disgusting thought) for the infection to convert, as opposed to converting the subject's own body.
Scenario 2:
How about a similar infection, one that attacks the body at the cellular level, but doesn't cause it to burn itself out? Perhaps in this scenario, a virus, retrovirus, prion, or intracellular parasite (perhaps a tiny bacterium that masquerades as a mitochondrion?) would generally live in symbiosis with its host (again, perhaps replacing and performing the job of intracellular mitochondria). However, this organism has very specific reactions to particular environmental conditions. If oxygen levels fell too low, it might set off a cascade of ribosomal processes which cause the cells of the body to form protein shells, sealing off the cell membrane and preventing cellular necrosis. In effect, the cell would sporulate, much like some bacteria, although animal cells cannot normally do so because of their cellular size and the structure of their cell membrane. The protein lock on the membrane would not dissolve until the oxygen level rose again.
What effect would this have? The subject would be able to survive many apparently "fatal" wounds. Not only would drowning, strangulation, asphyxiation, dehydration, and such types of oxygen depletion be temporary (with revival following soon after), but many traumatic wounds would eventually heal. Exsanguination ("bleeding out") would trigger the cellular sporulation, and a whole-body torpor would follow, rendering the body apparently "dead" until slow healing processes allowed recovery). Of course, I'm presuming that the body's own recuperative and self-revival processes are strong enough to restart breathing and heartbeat following the energy-consuming process of healing.
This doesn't describe a classic "zombie." However, it does largely satisfy the "undeath" possibility.
Now, this isn't completely realistic, as there are bodily processes that I have ignored for the sake of argument. However, it demonstrates that anything is conceivable.
GT