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Nuclear-medium effects in the weak structure functions $F_2(x,Q^2)$ and$F_3(x,Q^2)$ in the charged current neutrino and antineutrino induced deepinelastic reactions in $^{208}$Pb have been studied. The calculations have beenperformed in a theoretical model using relativistic nuclear spectral functionswhich incorporate Fermi motion, binding and nucleon correlations.  We also consider the pion and rho meson cloud contributions calculated from amicroscopic model for meson-nucleus self-energies. Using these structurefunctions, the results for the differential cross section have been obtainedand compared with the CERN Hybrid Oscillation Research apparatUS (CHORUS) data.The results for the ratios $\frac{2F_{i}^{Pb}}{208F_i^D}$,$\frac{4F_{i}^{Pb}}{208F_i^{He}}$, $\frac{12F_{i}^{Pb}}{208F_i^C}$,$\frac{16F_{i}^{Pb}}{208F_i^O}$, and $\frac{56F_{i}^{Pb}}{208F_i^{Fe}}$ (i=2,3)have also been obtained and a few have been compared with some of thephenomenological fits.

$\nu(\bar\nu)$-$^{208}$Pb deep inelastic scattering