The cells which will proliferate from top to bottom of villi are:

Paneth cells or zymogen cells are found only in the deeper parts of the intestinal crypts.  They contain prominent eosinophilic secretory granules.  They also contain high amount of zinc.  They are known to produce lysozyme, defensins and TNF alpha that destroy bacteria.  They exceptionally migrate towards the base of the crypts of Lieberkuhn instead of going toward the villi