Cosmic rays play a fundamental role in the dynamics of the galaxy. The way it is injected into the interstellar medium and the processes it can impact over is an active research branch of Astrophysics. Although supernova remnants are thought to be the main cosmic ray accelerators there is no actual model for their injection that can efficiently explain their spectral distribution as observed on Earth and that can be validated by observations at high energy. Moreover, the effects of cosmic rays on the turbulent dynamic of the weakly ionized interstellar medium and in particular the galactic star formation rate stay unknown.In this thesis I have developed an injection and transport model for cosmic rays in the energy range 1 GeV to 100 TeV. ...