  We consider a model of inflation which has recently been proposed in the
literature and where inflation is induced by corrections to the energy density
coming from the non-commutativity of spacetime. We show that the very rapid
inflationary expansion typical of this model is responsible for a burst of
particle production which ends inflation and leads to a radiation-dominated
phase. We analytically estimate the energy density of these particles and we
confront the results with more precise numerical calculations. We estimate the
number of inflationary e-folds before the back-reaction of the radiation energy
density overcomes the non-commutative effects and terminate inflation
naturally.
