from my limited understanding, the a-v node provides the chemicals necessary for the beating. The brain can alter the intensity (ie: beating faster when you're running, or scared) -- but is not necessary for basal function.
The heart does need, however, oxygen to drive metabolism in the cells to generate ATP (necessary to beat). It gets this from the lungs and then through the coronary artery. It also needs glucose for energy, which it would get, indirectly, from the digestive system. I'm sure there are some other chemicals too.