Misunderstanding may arise by confusing the Buddhist and scientific definitions of death. Within the scientific system you spoke quite validly of the death of the brain and the death of heart. Different parts of the body can die separately. However, in the Buddhist system, the word death is not used in that way. You'd never speak of the death of a particular part of the body, but rather of the death of an entire person. When people say that a certain person died, we don't ask, "Well, which part died?"
Dalai LamaThe person who received maximum affection from mother, that person also sort of cultivated the potential showing affection to others.
Dalai LamaLet us have that kind of effort from all, except those child or handicapped or too old. But the many people, they sort of have the opportunity to create trouble or to create a good thing, now should think more seriously, should not indulge any work to create more problems.
Dalai LamaIf we had to accept the idea of an independent creator, the explanations given in [several Buddhist texts] which completely refutes the existence per se of all phenomena, would be negated.
Dalai Lama