Construct a sequence of events that describes how the nucleus of eukaryotic cells controls the process of cell specialization

The cell receives external signaling from other cells that induce second messengers that reach the nucleus.

Based on the signal, the nucleus methylates particular regions of the DNA so that they have a high affinity to histone complexes.

This causes these regions to be folded around the histones hence deactivating the genes in these regions.  

Other regions of the DNA continue to be transcribed or even highly transcribed, hence allow the cell to produce particular types of proteins. These proteins are responsible for the specialization of the cell.