There was no correlation between late or early activated T cells and the proportion of TEMRA CD4+ T cells in patients with AC (r = 0.526, p = 0.362; r =  − 0.102, p = 0.86) or in patients without liver disease (r =  − 0.148, p = 0.52; r =  − 0.177, p = 0.44, respectively). This evidence concerns the gene CD4 and liver disorder.