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I will present an isospin and momentum dependent transport model,the Lanzhou Quantum Molecular Dynamics (LQMD) model that was developed by Lanzhou group based on QMD model in past years[1,2,3].In particular,some extensions to isospin physics and relativistic energies are to be stressed on this autumn conference.The dynamics of pion emission heavy-ion collisions in the region of 1 A GeV energies as a probe of nuclear symmetry energy at supra-saturation densities is investigated systematically.