  In this paper, the parametrization of the nuclear structure function which is
directly constrained by the dynamics of QCD in its high-energy limit is
considered. This simple parameterization of the nuclear structure function is
obtained from the proton experimental data by relying on a Froissart-bounded
parametrization of the proton structure function. This phenomenological model
describes high-energy QCD in the presence of saturation effects. Numerical
calculations and comparison with available data from NMC, EMC and E665
Collaborations demonstrate that the suggested method by N.Armesto, C.A.Salgado
and U.A. Wiedemann (ASW model) provides reliable ratio of nuclear structure
functions $F_{2}^{A}/AF^{p}_{2}$ at low $x$ for light and heavy nuclei. The
magnitude of nuclear shadowing is predicted for various kinematic regions and
can be applied as well in analysis of ultra-high energy processes by future
experiments at electron-ion colliders.
