  The recent observational data supports the deviation from Tri-bimaximal (TBM)
mixings. Different neutrino mass models suggest the interdependency among the
observational parameters involving the mixing angles. On phenomenological
ground we try to construct the PMNS matrix $U_{PMNS}$ with certain analytic
structure satisfying the unitary condition, in terms of a single observational
parameter $sin\theta_{13}$. We hypothesise the three neutrino masses $m_{i}$ as
functions of $sin\theta_{13}$ and then construct the neutrino mass matrix
$M_{\nu}$. We assume the convergence of the model to TBM mixing when
$\theta_{13}$ is taken zero. This mass matrix so far obtained can be employed
for various applications including the estimation of matter-antimatter
asymmetry of the Universe.
