We present a first-principles molecular dynamics study of the effect of shock waves (SWs) propagating in a model biological medium. We find that the SW can cause chemical modifications through varied and complex mechanisms, in particular, phosphate-sugar and sugar-base bond breaks. In addition, the SW promotes the dissociation of water molecules, thus enhancing the ionic strength of the medium. Freed protons can hydrolyze base and sugar rings previously opened by the shock. However, many of these events are only temporary, and bonds reform rapidly. Irreversible damage is observed for pressures above 15-20 GPa. These results are important to gain a better understanding of the microscopic damage mechanisms underlying cosmic-ray irradiation in space and ion-beam cancer therapy.