In order to decipher the mechanisms of the downregulation of CTNNB1 in HCC and CRC cells under the treatment of PS341, we focused on the negative transcriptional regulators of CTNNB1 such as VGLL4, FOXO3, SOX7, NOTCH1 and STAT326, 27, 28, 29, 30, 31. This evidence concerns the gene NOTCH1 and colorectal carcinoma.