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n this work the tunneling current through a weakly coupled double quantum dot in an external magnetic field is analyzed. We propose a model which includes Hyperfine interaction. The time evolution for electronic charge occupations and for the nuclei polarizations in each dot is obtained by means of rate equations which are self-consistently solved.We analyze the current in the spin blockade region as a function of magnetic field and observe hysteretic behavior for magnetic fields corresponding to the crossings between triplet and singlet states. Bistability is also produced for the induced nuclei spin polarizations within each quantum dot.