Abstract: In the present paper we summarize our results on the structure function $g_{1}$ and present explicit expressions for the non-singlet and singlet components of $g_{1}$ which can be used at arbitrary $x$ and $Q^{2}$. These expressions combine the well-known DGLAP results for the anomalous dimensions and coefficient functions with the total resummation of the leading logarithmic contributions and the shift of $Q^{2}\rightarrow Q^{2}+\mu^{2}$, with $ \mu / \Lambda_{QCD}\approx 10 (\approx 55)$ for the non-singlet (singlet) components of $g_{1}$ respectively. In contrast to DGLAP, these expressions do not require the introduction of singular parameterizations for the initial parton densities. We also apply our results to describe the experimental data in the kinematic regions beyond the reach of DGLAP.