Actually, in that case, I would believe the heart to be the most "vital" organ because without it, the brain is nothing. The heart can beat after the brain ceases functioning, and often times the heart will continue to beat even after the animal is considered dead. Similarly, the heart can continue to beat after being extracted from the body. The muscle cells of the heart control their own ability to pulsate, and the only intervention the brain has is whether the pulse should speed-up or slow-down.