  We investigate the early universe evolution in the context of brane inflation
driven by a supergravity-inspired $\arctan$ potential. We performed a slow-roll
and a semi-analytical reheating analyses and obtained constraints on the
inflationary parameters in agreement with Planck 2018 data. We also employed a
Markov Chain Monte Carlo analysis to perform a parameter estimation of the
cosmological parameters, obtaining results in good agreement with the currently
available cosmic microwave background and baryon acoustic oscillation data.
This work establishes the general theoretical predictions of the $\arctan$
model, with the results of the statistical analysis corroborating its
observational viability.
