Asymptotic giant branch (AGB) stars with low initial mass (1 < M/M ⊙ < 3) are responsible for the production of neutron-capture elements through the main s-process (main slow neutron capture process). The major neutron source is 13 C(α, n) 16 O, which burns radiatively during the interpulse periods at ∼ 8 keV and produces a rather low neutron density (10 7 n/cm 3 ). The second neutron source 22 Ne(α, n) 25 Mg, partially activated during the convective thermal pulses when the energy reaches about 23 keV, gives rise to a small neutron exposure but a peaked neutron density (N n (peak) > 10 11 n/cm 3 ). At metallicities close to solar, it does not substantially change the final s-process abundances, but mainly affects the isotopic ratios near s-path branchings sensitive to the neutron density.We examine the effect of the present uncertainties of the two neutron sources operating in AGB stars, as well as the competition with the 22 Ne(α, γ) 26 Mg reaction. The analysis is carried out on the main-s process component (reproduced by an average between M AGB ini = 1.5 and 3 M ⊙ at half solar metallicity, see [3]), using a set of updated nucleosynthesis models. Major effects are seen close to the branching points. In particular, 13 C(α, n) 16 O mainly affects 86 Kr and 87 Rb owing to the branching at 85 Kr, while small variations are shown for heavy isotopes by decreasing or increasing our adopted rate by a factor of 2-3. By changing our 22 Ne(α, n) 25 Mg rate within a factor of 2, a plausible reproduction of solar s-only isotopes is still obtained. We provide a general overview of the major consequences of these variations on the s-path. A complete description of each branching will be presented in Bisterzo et al., in preparation.