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In this paper we present the evolution of a low mass model (initial massM=1.5 Msun) with a very low metal content (Z=5x10^{-5}, equivalent to[Fe/H]=-2.44). We find that, at the beginning of the AGB phase, protons areingested from the envelope in the underlying convective shell generated by thefirst fully developed thermal pulse. This peculiar phase is followed by a deepthird dredge up episode, which carries to the surface the freshly synthesized13C, 14N and 7Li. A standard TP-AGB evolution, then, follows. During the protoningestion phase, a very high neutron density is attained and the s-process isefficiently activated. We therefore adopt a nuclear network of about 700isotopes, linked by more than 1200 reactions, and we couple it with thephysical evolution of the model. We discuss in detail the evolution of thesurface chemical composition, starting from the proton ingestion up to the endof the TP-AGB phase.

Asymptotic Giant Branch models at very low metallicity