We consider the tachyon–brane inflationary universe model in the context of a polytropic gas equation of state. In slow–roll approximation, we discuss general conditions of this model. For exponential potential, in high–energy limit the characteristics of the model are presented. By using the seven–year Wilkinson Microwave Anisotropy Probe (WMAP7) observational data, we constrain the cosmological parameters of the model.
