%0 Journal Article %T Semi-analytical model of cosmic ray electron transport %A A. Ivascenko %A F. Spanier %J Astrophysics and Space Sciences Transactions (ASTRA) %D 2011 %I %R 10.5194/astra-7-265-2011 %X We present a numerical extension to the analytical propagation model introduced in Hein and Spanier (2008) to describe the leptonic population in the galactic disc. The model is used to derive a possible identification of the components that contribute to the leptonic cosmic ray spectrum, as measured by PAMELA, Fermi and HESS, with an emphasis on secondary e+ e production in collisions of cosmic ray particles with ambient interstellar medium (ISM). We find that besides secondaries, an additional source symmetric in e+ and e production is needed to explain both the PAMELA anomaly and the Fermi bump, assuming a power-law primary electron spectrum. Our model also allows us to derive constraints for some properties of the ISM. %U http://www.astrophys-space-sci-trans.net/7/265/2011/astra-7-265-2011.html