APUD is a general term (older) term for neuroendocrine cell types based on their staining characteristics which are capable of Amine and Precursor Uptake and Decarboxylation.
This term is not much used now-a-days but instead more specific term like neuroendocrine cell is used.
They mostly originate from the neural crest except the intestinal and respiratory tract which are derived from endoderm.