According to a study in The Journal of Cell Biology, a mutant protein responsible for Hutchinson-Gilford Progeria syndrome (HGPS) bars large proteins from entering the nucleus.

One possibility is that Progerin disrupts the activity of Tpr's nuclear localization sequence (NLS). To test this idea, a team led by researchers from the University of Virginia replaced Tpr's NLS with the localization sequence from a protein that readily enters the nucleus. The modified Tpr was still locked out, however, suggesting that the effect wasn't related to its NLS.
Tpr is one of the largest proteins to traverse nuclear pores. The researchers found that Progerin also limits the nuclear import of three other hefty proteins. This size effect stems from the reduction in nuclear Ran levels triggered by Progerin. For reasons that are still unclear, large cargoes require more Ran to enter the nucleus. These findings suggest that some cellular defects of HGPS might result from the exclusion of large cargoes, such as multisubunit enzyme complexes, from the nucleus.
Source-Eurekalert