  In this review we present our model which is an example of the self
consistent approach that incorporates our theoretical understanding of long
distance physics, based both on N=4 SYM for strong coupling and on the matching
with the perturbative QCD approach. We demonstrate how important and decisive
the LHC data were on strong interactions which led us to a set of the
phenomenological parameters that fully confirmed our theoretical expectations,
and produced a new picture of the strong interaction at high energy. We also
show how far we have come towards creating a framework for the description of
minimal bias events for high energy scattering without generating Monte Carlo
codes.
