  The brane inflationary model inspired by a polytropic inflationary idea is
studied. In the slow-roll approximation and high energy limit, for a chaotic
potential, the model is developed, and its characteristics are discussed. We
obtain explicit expressions for the scalar power spectrum, the tensor-scalar
ratio, the scalar spectral index and its running in terms of the polytropic
parameters. We find a new constraint on the energy scale of the inflation and
the brane tension using the WMAP9 data.
