With the more and more regular use of ionizing radiations in medicine and more particularly in hadrontherapy, it is today necessary to describe--with the highest degree of accuracy--the biological consequences of irradiations. To model the track-structure of charged particles in biological matter and then to quantify the full spectra of radio-induced cellular damages, Monte Carlo simulations are the preferential methods. The latter consist in modelling the history of the ionizing particles by means of a large set of input data, namely, the differential and total interaction cross sections in order to finely describe the complete kinematics of the ion-induced collisions. In these conditions, we clearly understand the necessity for the radiobiologists and the radiotherapists to access to accurate cross sections--in particular for collisions with water target--the latter being commonly used as surrogate of the cellular medium. We here report a review of the existing 1st Born predictions for describing the ionization and the charge transfer processes in the high-impact energy-regime particularly investigated in hadrontherapy.