  We study the inflationary dynamics in Brane World gravity and look for
observational signatures of any deviation from the standard General Relativity
based results of Cosmological Perturbation Theory. We first review the standard
paradigm of General Relativity based inflationary dynamics and cosmological
perturbation theory and then go on to review Brane World gravity. Finally we
look at the high energy corrections for some chosen models and compare the
results with the Planck and WMAP (9 year) data. Then we make a summary of our
results and point out certain interesting features of Brane World gravity based
calculations and infer it's implications on Brane World gravity itself.
