A new thermal desorption process in which the heat for desorption is generated inside the adsorbent particles by passing an electric current through them (Joule’s heat), called electrothermal desorption, is modelled on a column scale. A one-dimensional, non-adiabatic, microscopic model describing the process dynamics is presented. The model was obtained as a set of nonlinear partial differential equations with three independent variables (time, column axial coordinate and particle radial coordinate), which was solved using the double orthogonal collocation,method, On the basis of this model, time and space concentration and temperature profiles were simulated. The influence of different process parameters was investigated, and the advantage of desorption with internal sorbent heating was proven.