The electrical characteristics of silicon detectors (standard planar float zone and MESA detectors) as a function of the particle fluence can be extracted by the application of a model describing the transport of charge carriers generated in the detectors by ionizing particles. The current pulse response induced by α and β particles in non-irradiated detectors and detectors irradiated up to fluences Φ≈3⋅1014 particles/cm2 is reproduced via this model: i) by adding a small n-type region 15 μm deep on the p+ side for the detectors at fluences beyond the n to p-type inversion and ii) for the MESA detectors, by considering one additional dead layer of 14 μm (observed experimentally) on each side of the detector, and introducing a second (delayed) component to the current pulse response. For both types of detectors, the model gives mobilities decreasing linearily up to fluences of about 5⋅1013 particles/cm2 and converging, beyond, to saturation values of about 1050 cm2/Vs and 450 cm2/Vs for electrons and holes, respectively. At a fluence Φ≈1014 particles/cm2 (corresponding to about ten years of operation at the CERN-LHC), charge collection deficits of about 14\% for β particles, 25\% for α particles incident on the front and 35\% for α particles incident on the back of the detector are found for both type of detectors